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Paper Citation Record · LEDGER

Review of Yau's conjecture on zero sets of Laplace eigenfunctions

As of 16 August 2026, this Paper Citation Record lists 96 of 96 outbound references and 0 inbound Pith citation observations for arXiv:1908.01639.

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pith.paper-citation-record.v1
1908.01639 v1

Coverage vector

measured 96 of 96 reference resolution

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Reference resolution

96 of 96 outbound references displayed

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Outbound references

Observation fc64d80e-1553-4fd8-90cd-b0ea56c29de0 · outbound

This paper cites https://www.math.ias.edu/files/report.pdf.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions https://www.math.ias.edu/files/report.pdf

Reference 1

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Observation 355e1ce7-5c5b-44c0-bf1b-f6e16cf81aaf · outbound

This paper cites Unicit´ e et convexit´ e dans les probl` emes diff´ erentiels.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unicit´ e et convexit´ e dans les probl` emes diff´ erentiels

Reference 2

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Observation 96f95e87-c760-4d73-91dc-274b988c1b21 · outbound

This paper cites The stability for the Cauchy problem for elliptic equations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions The stability for the Cauchy problem for elliptic equations

Reference 3

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 4

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Observation e5a52360-0eb8-4b72-a55d-97d8ae98bf11 · outbound

This paper cites Aronszajn.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Aronszajn

Reference 5

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Observation ee11bfcc-f84f-4fba-8b18-1c2983ec9132 · outbound

This paper cites Elliptic Partial Differential Equations and Qua- siconformal Mappings in the Plane (PMS-48).

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Elliptic Partial Differential Equations and Qua- siconformal Mappings in the Plane (PMS-48)

Reference 6

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This paper cites B´ erard and B.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions B´ erard and B

Reference 7

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Observation ee0516ce-752b-43e9-bf8b-c6a175174556 · outbound

This paper cites Courant-sharp eigenvalue s for the equilateral torus, and for the equilateral triangle.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Courant-sharp eigenvalue s for the equilateral torus, and for the equilateral triangle

Reference 8

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Observation b6635b47-538d-477b-a4d1-36e28a70f15b · outbound

This paper cites Local behavior of solutions of general linear elliptic e quations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Local behavior of solutions of general linear elliptic e quations

Reference 9

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 10

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This paper cites Bourgain and T.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Bourgain and T

Reference 11

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Observation 6141bab5-0224-4983-9383-f7f07af3674e · outbound

This paper cites Spectral gaps without the pressure condition.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Spectral gaps without the pressure condition

Reference 12

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Observation e7b89882-ed29-40a1-b549-9a59b4f37110 · outbound

This paper cites On the geometry of the noda l lines of eigenfunctions of the two- dimensional torus.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions On the geometry of the noda l lines of eigenfunctions of the two- dimensional torus

Reference 13

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Observation 5ed2476f-b6cb-43c2-b26f-fe16689464df · outbound

This paper cites On the nodal sets of toral e igenfunctions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions On the nodal sets of toral e igenfunctions

Reference 14

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Observation f3af4c48-e29b-452c-a027-171ecb8fdbf9 · outbound

This paper cites Restriction of toral eigenfu nctions to hypersurfaces and nodal sets.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Restriction of toral eigenfu nctions to hypersurfaces and nodal sets

Reference 15

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions ¨Uber Knoten von Eigenfunktionen des Laplace-Beltrami-Operator s

Reference 16

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Observation 7e305b6c-4376-44fd-9187-5ef9f926807b · outbound

This paper cites Caffarelli and Avner Friedman.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Caffarelli and Avner Friedman

Reference 17

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Observation 1298df33-6bfd-43bf-b2ce-c34a7bf16cf6 · outbound

This paper cites Topology and nesting of the z ero set components of monochromatic random waves.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Topology and nesting of the z ero set components of monochromatic random waves

Reference 18

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Observation a55d11ea-947e-4f37-9383-a3df7a21814d · outbound

This paper cites Carleman.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Carleman

Reference 19

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Observation b9b2fb6b-abd3-4cc0-9278-dae679d5639b · outbound

This paper cites Muckenhoupt.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Muckenhoupt

Reference 20

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Observation cd78f64c-5b52-4cf9-8aed-6ca1304788c3 · outbound

This paper cites Eigenvalues in Riemannian geometry , volume 115 of Pure and Applied Mathematics.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Eigenvalues in Riemannian geometry , volume 115 of Pure and Applied Mathematics

Reference 21

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Observation c598c82c-7c1c-4e5f-861f-962e0547f951 · outbound

This paper cites Riemannian geometry , volume 98 of Cambridge Studies in Advanced Mathematics.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Riemannian geometry , volume 98 of Cambridge Studies in Advanced Mathematics

Reference 22

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Observation d872a438-3ce6-4c2a-be1f-82f669ee4bbf · outbound

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Critical sets of elliptic equations

Reference 23

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Observation cb2a1597-a8f4-47b6-8beb-078a25b89944 · outbound

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Eigenfunctions and nodal sets

Reference 24

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Observation 33143179-4ae7-45c4-90c0-23aa93d72253 · outbound

This paper cites Colding and William P.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Colding and William P

Reference 25

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

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Observation 9ed3df23-45e3-439b-9f10-999d1904ba93 · outbound

This paper cites Unique continuation for solutions to pde’s; betwe en hrmander’s theorem and holm- gren’ theorem.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unique continuation for solutions to pde’s; betwe en hrmander’s theorem and holm- gren’ theorem

Reference 27

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Observation 5fc9d47c-333c-4927-9100-e8b0c41df5a6 · outbound

This paper cites Nodal sets of eigenfunctions on Riemann surfac es.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nodal sets of eigenfunctions on Riemann surfac es

Reference 28

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Observation 56784644-0b27-4c10-830f-fb4a03184ae2 · outbound

This paper cites Donnelly and C.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Donnelly and C

Reference 29

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Observation 418752a2-cd0d-4351-9669-3d0c86fa9ebc · outbound

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Donnelly and C

Reference 30

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Observation e98c8d88-b4b7-4c71-a8b0-d801b850f223 · outbound

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Donnelly and Ch

Reference 31

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions Semiclassical measures on hyperb olic surfaces have full support

Reference 32

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Observation 2b654db8-8528-4d38-b521-d83dfba5ae4e · outbound

This paper cites Laplac e operators with eigenfunctions whose nodal set is a knot.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Laplac e operators with eigenfunctions whose nodal set is a knot

Reference 33

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Observation bf227098-05bb-4775-813d-769673486a19 · outbound

This paper cites Eigenfunctions with pr escribed nodal sets.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Eigenfunctions with pr escribed nodal sets

Reference 34

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Observation 2bdb4d99-7ec4-4182-9d7a-4cac62a4861b · outbound

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Review of Yau's conjecture on zero sets of Laplace eigenfunctions On nodal sets and nodal domains on S2 and R2

Reference 35

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Observation e02ad8b5-6da1-4e2c-9dad-e733772b2202 · outbound

This paper cites Garofalo and F.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Garofalo and F

Reference 36

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Observation 3dd976d0-3f20-4d1a-8649-febc2b119c24 · outbound

This paper cites Singular sets of solutions to elliptic equations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Singular sets of solutions to elliptic equations

Reference 37

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3c4f88bb-d005-4527-9aa9-bf1ceb4fb8db · outbound

This paper cites Nodal sets of harmonic functions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nodal sets of harmonic functions

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.374167Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.187437Z digest=sha256:238788ba9a020d603a0f0cb2c724294ce65be1cfb8bc6e69003726de039fb8cb

Observation def88416-a156-46fc-b420-32b090bea798 · outbound

This paper cites Geometric measure o f singular sets of elliptic equations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Geometric measure o f singular sets of elliptic equations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.358159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.191564Z digest=sha256:ed796f439825b0425409480d32ad14f3e9c33468e5cfa11deebfe7103da5076c

Observation 666f9eb5-8457-4faa-a5e9-16ccc158443a · outbound

This paper cites A geometric covering lemma and nod al sets of eigenfunctions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions A geometric covering lemma and nod al sets of eigenfunctions

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.341119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.196354Z digest=sha256:a4fac5ed66c0446feadbddc132a314c2fa75c2f651b7a04b8613018c46845e02

Observation d9f63690-8c88-47a8-b09e-38b568fc44f1 · outbound

This paper cites Hardt, M.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Hardt, M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.325551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.200958Z digest=sha256:23c7b7f81ea9494774e462eb9d1f044acd2b662dc336f92002089ab11e460687

Observation 3a1d0329-3b85-456b-972b-6352d399a9a5 · outbound

This paper cites Hardt and L.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Hardt and L

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.310938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.205539Z digest=sha256:aa217c78700bb6cb9dd424f4c444b03ce35ff122234843502224111c26044d29

Observation 5af8f461-0404-4aa8-856b-e783b979ea0c · outbound

This paper cites Applications of small-scale quantum ergodicity in nod al sets.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Applications of small-scale quantum ergodicity in nod al sets

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.295596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.210365Z digest=sha256:ca6864b21a20442dbb5edba102b4b38a8f74b25b16e110fda80aa13729961bd6

Observation d61f0941-a4f7-4a4b-95f9-046d68d997df · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:31.280419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.214877Z digest=sha256:e4740e824a6a3fff9930821ff2a358b57a7afcff36120183c87bcba3e8574805

Observation 1bfe871a-9978-4b6f-8d85-17025623a139 · outbound

This paper cites Hoffmann-Ostenhof, T.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Hoffmann-Ostenhof, T

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.264633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.220369Z digest=sha256:f8ef76d80257adcadbbc280ba2f1a700b4afaa0c7168b167e901e21dbb8d8f6b

Observation b9aeadaa-8fb2-4c3c-a5c4-44e70fd63a0c · outbound

This paper cites On some proper- ties of zero sets and critical sets of solutions to elliptic equations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions On some proper- ties of zero sets and critical sets of solutions to elliptic equations

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.249430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.225391Z digest=sha256:b8cd6a38b81b5dae00b5bf37af1d880904c04610a67d3119cfc762bf7f807234

Observation e473a0ed-1e9e-40f3-b922-4d7a2431c987 · outbound

This paper cites Tubular neighborhoods of n odal sets and Diophantine approx- imation.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Tubular neighborhoods of n odal sets and Diophantine approx- imation

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.234399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.230167Z digest=sha256:1e9ea492d1e3634502d73246dfe328baea00c2403317bc2a2d3d38956a7a4c8b

Observation d121b99a-8db5-4e98-84cc-4ae3552b6cdf · outbound

This paper cites Eigenfunctions with few critical points.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Eigenfunctions with few critical points

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.219538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.234860Z digest=sha256:36969121b68e62aec201395754b87f59ca3fff96ecf348ff5caa84b6ab80aa8a

Observation d7edefc5-c89d-4256-bafe-24a58e2600ba · outbound

This paper cites Quasi-symmetry of Lp norms of eigenfunctions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Quasi-symmetry of Lp norms of eigenfunctions

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.204187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.240027Z digest=sha256:7bd937666eb95b2e385cc76e1f0942f5de7c3fcc528303ced67f53b210455c31

Observation aa2cf049-59e8-4da0-98ac-4175b8b60617 · outbound

This paper cites Plane waves and spherical means applied to partial different ial equations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Plane waves and spherical means applied to partial different ial equations

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.188562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.245210Z digest=sha256:bfc398a375f620d932f8e5922cc86beea1d3de558eacb6712e3cd53642beab60

Observation 5dc6339a-3b13-4969-aeb0-2ee067b22946 · outbound

This paper cites Nodal le ngth fluctuations for arithmetic random waves.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nodal le ngth fluctuations for arithmetic random waves

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.173113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.250007Z digest=sha256:2601f96aace6fcc18e88b4a20f3ae42c27d41f4adb611f35f0b627e55d15adfd

Observation 3281d5fa-54e6-4fff-9550-4aaea7f8e23b · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:31.158090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.254656Z digest=sha256:8900e8c648bab5943c750f1dc6f60ce72a52a616a8a7a28e49abdc75dded792e

Observation 43a9fae4-2b51-4129-8b9e-fa5491683d9e · outbound

This paper cites Nodal sets of solutions of elliptic and parabolic equ ations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nodal sets of solutions of elliptic and parabolic equ ations

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.142533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.259345Z digest=sha256:7cad66f40af2945e818fb54b0a1d4ad7b6cd2129034b00acd3fb125838be726e

Observation 44bd03d4-aaf8-4229-bc48-129ad344fe52 · outbound

This paper cites On the Betti numbers of level sets of s olutions to elliptic equations.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions On the Betti numbers of level sets of s olutions to elliptic equations

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.127521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.264572Z digest=sha256:b9b4ff24da8b960ca5bfa7fab442fb22f5477305fa72f3646de06da568dad12c

Observation 652761f2-cb99-401e-8170-62045d0d9095 · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:31.112709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.269987Z digest=sha256:5f4b53454e6b2b8cc3898f112632f16574724f4ac5fd5a427df2297eb401bfcb

Observation 9ce5ddc4-67cb-4d2e-bf99-b315e4922081 · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:31.098111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.274926Z digest=sha256:ffd41bb90f1377b6339cd513a3350cf7db3625a61896712c4a9c802040ec4d8a

Observation c4418825-3628-450f-a027-a637d0d552bc · outbound

This paper cites Logunov and E.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Logunov and E

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.082565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.279532Z digest=sha256:bfb4040405e1810d8222999a54bb4cd45677d3a255a4efd9fea6d8b72a5a40da

Observation 54c1c02c-690f-420c-96cc-dd2f9a96269d · outbound

This paper cites Logunov and E.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Logunov and E

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.067131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.284059Z digest=sha256:cc242ef7468abcb3e73b771faf0d0be22079855e378242fc05bc28403bb7f506

Observation 130ea62d-65f9-401e-9be9-c78169bff6c3 · outbound

This paper cites Logunov and E.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Logunov and E

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.052234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.289205Z digest=sha256:75e108b84c5e38540440531c80fabadc606c61990f548288fe32a3eb51153fd8

Observation 66ba8c02-e6a8-4670-bd69-46b81fde063c · outbound

This paper cites On ratios of harmon ic functions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions On ratios of harmon ic functions

Reference 60

Resolution
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raw_fallback, observed 2026-08-14T15:14:31.035914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.294092Z digest=sha256:e8ebc32b551efd0591216e36f41f8c43857a8b684cdd2d761aca300c200e1a83

Observation 3557dad9-b49b-4dd8-b1ca-ee2d3199c459 · outbound

This paper cites Covering lemmas and an application to nodal geomet ry on Riemannian manifolds.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Covering lemmas and an application to nodal geomet ry on Riemannian manifolds

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.020287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.298817Z digest=sha256:3902921af7a01fc7f267fdbc06f94fa798fc0cfcc23bf452ac82266936d31121

Observation 121324f1-f055-4db2-8615-e7d9a8e77ed0 · outbound

This paper cites Mangoubi.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Mangoubi

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:31.005919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.303304Z digest=sha256:526cc2a2c20e0286a72ba49e9b3112a0a0a064f6b390ed72ff2176dab139cd0b

Observation 69292723-4f63-47c5-8ea5-891a715e2226 · outbound

This paper cites Local asymmetry and the inner radius of nodal d omains.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Local asymmetry and the inner radius of nodal d omains

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.991418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.307991Z digest=sha256:a37ff6c7357e2609e25c018f1142d7e54b368714032d691a810dc2f4d274d86c

Observation c514722b-3cec-44c1-912e-a0d82f91740a · outbound

This paper cites The volume of a local nodal domain.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions The volume of a local nodal domain

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.976547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.312334Z digest=sha256:24e57e730ba9aa4379d1f6235a5fc03f58c2effdc3fcc9c2b3042fffe08b66d7

Observation ad0c043e-989a-464a-93f2-c5ddf1483adb · outbound

This paper cites A remark on recent lower bounds for nodal sets.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions A remark on recent lower bounds for nodal sets

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.961009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.316920Z digest=sha256:047eca2e86ec57ab47c0b061b2998468947ea97586df80edc79d2bb3d8062c61

Observation 66bebac4-598c-4574-82e4-2085f9cb3afe · outbound

This paper cites Nonunique continuation for uniformly parabolic and ellip tic equations in selfadjoint divergence form with H¨ older continuous coefficients.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nonunique continuation for uniformly parabolic and ellip tic equations in selfadjoint divergence form with H¨ older continuous coefficients

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.946227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.321307Z digest=sha256:3194fe865e6f59091ec670f9b48e1a402cc24b4663699f9f146f79559a8ddcbf

Observation 06ad01eb-d22d-4282-93fc-7ccb887371cf · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.931049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.326127Z digest=sha256:c87ec7384a861d0ddc9eaa56ba37f2999c8c02285fe6e6153dffc9311d277c1e

Observation 57542e72-c47d-4f88-9389-cd1b99757b93 · outbound

This paper cites Volume estimates on the critic al sets of solutions to elliptic PDEs.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Volume estimates on the critic al sets of solutions to elliptic PDEs

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.916647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.331053Z digest=sha256:f72bde01ffea94b19643332eda7746ba16ebf3e89ad49f2f17fc22dc29263f06

Observation c583093f-ac02-4ee8-a520-ff427740542f · outbound

This paper cites Nadirashvili, Dzh.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nadirashvili, Dzh

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.901426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.335608Z digest=sha256:20ab8f763f02864d2d722f728f4bd7b63966c685402a1c695bcfc8a7431aabfc

Observation 90f3f111-9a89-4774-943c-d7c5fa39e16a · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.886569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.340939Z digest=sha256:eb5234114bd277b4c78a3e6d9c1a1ab47869424b1074ad9084e5d641e38d53b1

Observation 18838718-1ebe-4eea-abf0-987a18dd0efa · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.871331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.345533Z digest=sha256:30d06c10b4e829ed06478d19ba51e39e4da5af21d7d0a5fa1a5205037bab4ff9

Observation e1a8ff4d-4519-4960-aea1-bc6888f4a149 · outbound

This paper cites Nadirashvili.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nadirashvili

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.856409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.350553Z digest=sha256:d979ab2643ade299c80e8bb8a5544e68fa0b3aa8626dbfa8cb9e7a5ddda3214a

Observation f83c184a-4e7c-4a6b-a37c-027681be8d7c · outbound

This paper cites Nadirashvili.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nadirashvili

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.841570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.355399Z digest=sha256:b398844527cf6c49d9d531f200f30b871cf43677b245602fab5f111302082653

Observation 6594733d-f824-412b-be0b-5d8b13908efc · outbound

This paper cites Nadirashvili.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nadirashvili

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.826042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.360148Z digest=sha256:4dd180f61268ba74785c71c3ddb7e55e2e497ad874c618708b788ef4f5d64559

Observation 6bd43e64-00d1-4eb8-bc68-16b4f321699f · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.810827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.365173Z digest=sha256:48d9a6fbd5b098c0c27ad30eef2ef2a7787fb934714523d3f19b903a781b6b7d

Observation 28272548-a3f3-4d51-8168-a8f449e1e6d1 · outbound

This paper cites Sign and area in nodal geometry of Laplace eigenfunctions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Sign and area in nodal geometry of Laplace eigenfunctions

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.796886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.369512Z digest=sha256:68d5749993af6c1bc4605456ed4cea2f8228b1988940d0cc57a615e85a5231a7

Observation e70ab3a3-a02b-4abf-a1ba-2d2dfd959bcf · outbound

This paper cites Random complex zeroes and ra ndom nodal lines.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Random complex zeroes and ra ndom nodal lines

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.782215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.374229Z digest=sha256:d51add1ed19f82d9faf2bafcc84221f223861d5e2b46b8e23bd3438f161d2639

Observation 9751cf93-8873-46cb-9737-8b9c75aa1aab · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.767180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.378640Z digest=sha256:7183f90e3009290ce24f4d79b0a4cc0661fe82a17c2bc77c1ce7fc7bb6f8a8d7

Observation 4386bbcd-ba70-4ee7-a253-73384f5b575f · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.752081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.383238Z digest=sha256:85b820dd3a040b1a5902ad0c992de9ce7ea7ad082cf8b7cd07bb73cfbf7ea5b0

Observation 1e3a5156-9af9-4d42-a2df-2c6077ff6195 · outbound

This paper cites Nodal sets and growth exponents of Lap lace eigenfunctions on surfaces.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Nodal sets and growth exponents of Lap lace eigenfunctions on surfaces

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.735960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.387661Z digest=sha256:1e1847d1d2de57701fb674754d5c825a7d30c09d3fa36c19f68901818628a2b0

Observation fd4e53c4-4378-48dc-9162-b92ea77f516c · outbound

This paper cites On the volume of nodal sets for eigenfunctions of the Laplacian on the torus.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions On the volume of nodal sets for eigenfunctions of the Laplacian on the torus

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.720530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.392255Z digest=sha256:b79efb0a8fc7c48924d40bf60dfc9c992076947acd230e5c3e4172acaeddbea2

Observation 0b1474fe-99ec-40bb-8012-d4546a68b4b1 · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 82

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.704167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.396295Z digest=sha256:646441cbfc3f99da6f511d3fc3192daea709978685b3260a3e36f8d5194e0b29

Observation 2e24e12c-84f5-4c84-a17e-7125354cf1d9 · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 83

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.688471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.400541Z digest=sha256:6b1052c2b55ccc0176b3e6a6f41f273f0b72019993b21f34b8ba443ec8c9e349

Observation a88e360f-2e0d-4f8f-93ce-f41e8235f48b · outbound

This paper cites Sogge and Steve Zelditch.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Sogge and Steve Zelditch

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.672955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.404589Z digest=sha256:713cb4490e968e1fda1ac7108f7637b2004c26d6d8df0aaea86d46da62b7ef7f

Observation 0e31a7c1-df04-4b98-9841-5cee425d0eb1 · outbound

This paper cites Sogge and Steve Zelditch.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Sogge and Steve Zelditch

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.657482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.408775Z digest=sha256:9f4f019c886d3eec46e47e906d22ce41a674072c63ccd8ffb14569d47181becf

Observation d07fb41a-7a8e-4d0f-9304-0454ffc41e60 · outbound

This paper cites Harmonic analysis: real-variable methods, orthogonality , and oscillatory integrals , volume 3.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Harmonic analysis: real-variable methods, orthogonality , and oscillatory integrals , volume 3

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.641191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.412939Z digest=sha256:57ff01dbfa828569da81f19bfb37198b4a198e6c0e254184dc3f1d51a5ff9ceb

Observation ec18dee2-92b5-4541-8913-71d36a9e3288 · outbound

This paper cites Lower bounds on nodal sets of eigenf unctions via the heat flow.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Lower bounds on nodal sets of eigenf unctions via the heat flow

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.626569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.417183Z digest=sha256:f8af11808a2f2b8c809045898c05fcb0b62efe4be0b9e52b3d42a5329d22f243

Observation 8a5b0b02-293e-4236-8630-462cd0a7dc5b · outbound

This paper cites Oscillatory functions vanish on a large set.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Oscillatory functions vanish on a large set

Reference 88

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:14:30.499497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.421424Z digest=sha256:b0a5776618fe8c109efbd46db61d97bc91b0cc5e33b63a2f18a86ed00eaee23e

Observation bb6a6919-cb40-480a-90d7-86fe76dfa3df · outbound

This paper cites Vessella.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Vessella

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.611607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.426003Z digest=sha256:ff737f423b8bdc502bd835d4e8f165b405dfaf1d5041ed8510e0cd44f2ef46a2

Observation c0a1a2bf-276f-4a83-b227-d5a7be707d92 · outbound

This paper cites A continuous dependence result in the analytic c ontinuation problem.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions A continuous dependence result in the analytic c ontinuation problem

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.596474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.430543Z digest=sha256:642b789a122c442c32b3fb89005ba2ba8ba35579a54844a8feb4bf3dece214c7

Observation affa822f-b873-4cd0-a053-e88ea2300b31 · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 91

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:14:30.580165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.435240Z digest=sha256:72f7b50cee2212405f5a77d2e7ae2d99da4c1be327ec3e61f3918f6aa8608d0c

Observation 178c226a-65cb-4c83-8044-356c4f7c71c0 · outbound

This paper cites Problem section.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Problem section

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.564437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.439657Z digest=sha256:54fafa1e98ebf2734566a43ab11cc9d205b96210d2379c5ff86bf9ffbfcea9ac

Observation a5dfafc0-ac00-4734-a35a-813c39828865 · outbound

This paper cites Real and complex zeros of riemannian random wa ves.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Real and complex zeros of riemannian random wa ves

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.549021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.444575Z digest=sha256:8acff6cb0a57e2a0cdab08549f289487c9a1a4bdce3bae2e89f1ec1f2ae20a3d

Observation 6f0113ec-1d08-4c82-870f-c8956a3e2823 · outbound

This paper cites Park City lectures on eigenfuntions.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Park City lectures on eigenfuntions

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.532574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.449325Z digest=sha256:2e7b79e4b59592db6a3d7ce7eb7613eb3c8f74d6ebf9acd110fd3f1302fe7fc2

Observation 061d2162-0efc-4a8c-9c88-ce05c786d56a · outbound

This paper cites Eigenfunctions of the Laplacian on a Riemannian manifold , volume 125 of CBMS Regional Conference Series in Mathematics.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Eigenfunctions of the Laplacian on a Riemannian manifold , volume 125 of CBMS Regional Conference Series in Mathematics

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:14:30.516528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:14:30.453973Z digest=sha256:762ca52153099d2920ba27147cd7221feeb96dea6c0233fc34883cfb966cfc5f

Observation 94a7e6c7-a693-4615-a8cf-873743f16691 · outbound

This paper cites an unresolved cited work.

Review of Yau's conjecture on zero sets of Laplace eigenfunctions Unresolved cited work

Reference 655

Resolution
parse uncertain
no resolver link, observed 2026-08-14T15:14:30.151801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:14:30.151801Z digest=sha256:877a92a0042ec5d8567561e99136eb1a89ae6eaa286e82f397be80574c85022f

Pith citing papers

No inbound Pith citation observations are available.