Paper Citation Record · LEDGER

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.06273.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.06273 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:05:03.503539Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy28
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a82d71e4-96c0-494c-a709-3f7240cfaf71 · outbound

This paper cites Apushkinskaya and Alexander I.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Apushkinskaya and Alexander I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.920815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c4c31b3-42c5-4e58-a88a-dbf5f14f0a28 · outbound

This paper cites Baernstein II, Symmetrization in Analysis, Cambridg e University Press, 2019.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Baernstein II, Symmetrization in Analysis, Cambridg e University Press, 2019

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.909248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d1be7507-80a6-430d-8897-9777a52ed220 · outbound

This paper cites Bandle, Isoperimetric inequalities and application s.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Bandle, Isoperimetric inequalities and application s

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.898520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc19e188-b1c8-4f46-8e84-c96ad6b159bb · outbound

This paper cites Ba˜ nuelos and T.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Ba˜ nuelos and T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.887159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 10fe7289-7f7e-4752-a162-e53d276fff08 · outbound

This paper cites Ba˜ nuelos and T.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Ba˜ nuelos and T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.875134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0e247b8e-bafe-4efd-83a0-4457ca633fe1 · outbound

This paper cites Ba˜ nuelos, M.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Ba˜ nuelos, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.863045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20d73dc9-7214-4ea0-b14c-d2134de4ae76 · outbound

This paper cites Beck, The torsion function of convex domains of high ec centricity, Potential Analysis, to appear.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Beck, The torsion function of convex domains of high ec centricity, Potential Analysis, to appear

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.851166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4d913c3b-b416-450d-aa7b-0168952e5ce8 · outbound

This paper cites Beck, Uniform level set estimates for ground state eig enfunctions, SIAM J.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Beck, Uniform level set estimates for ground state eig enfunctions, SIAM J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.839160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 24c9ae23-bc0f-43f1-bd1c-c7f2b73216be · outbound

This paper cites Burchard and M.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Burchard and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.823946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 773b7a31-a6da-41d3-b6a6-533833481946 · outbound

This paper cites an unresolved cited work.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:03.807718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e3a2bfb6-de9e-4795-a0dd-80d14a97c81d · outbound

This paper cites Brasco and R.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Brasco and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.793546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b996a1ab-307f-42c2-93e7-914523d2c64c · outbound

This paper cites Burdzy and W.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Burdzy and W

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.777910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e71a689e-c885-4088-9f5c-9081bbb74d9f · outbound

This paper cites Caﬀarelli and X.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Caﬀarelli and X

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.766122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 142b3904-6bc6-483c-b2a3-9d402f3def68 · outbound

This paper cites an unresolved cited work.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:03.754133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 719159e3-db22-4c4c-a941-77e505d4d4e1 · outbound

This paper cites Freitas, Closed Nodal Lines and Interior Hot Spots of the Second Eigenfunctions of the Laplacian on Surfaces, Indiana Univ.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Freitas, Closed Nodal Lines and Interior Hot Spots of the Second Eigenfunctions of the Laplacian on Surfaces, Indiana Univ

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.743063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e88feca7-2b1e-4a04-8f53-aa19df4544c8 · outbound

This paper cites Grieser and D.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Grieser and D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.731238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0901af8f-7937-47c6-b447-09a103e22a52 · outbound

This paper cites Hamel, N.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Hamel, N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.719371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3855ff62-f4ab-4864-95ad-390bb78bd6ba · outbound

This paper cites Hamel and E.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Hamel and E

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.708416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b62c0e4a-5eb6-4032-bd7b-cddfc45bf396 · outbound

This paper cites Kawohl, Rearrangements and Convexity of Level Sets i n PDE, Lecture Notes in Mathe- matics 1150, Springer, Berlin, 1985.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Kawohl, Rearrangements and Convexity of Level Sets i n PDE, Lecture Notes in Mathe- matics 1150, Springer, Berlin, 1985

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.697449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5a978728-8c23-44ca-8412-f6e1a668d264 · outbound

This paper cites Kuran, On positive superharmonic functions in α -admissible domains, J.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Kuran, On positive superharmonic functions in α -admissible domains, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.685255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fdd4b2b3-6fbd-4cd3-8c88-4172dc059c5d · outbound

This paper cites Lions, Two geometrical properties of solutions o f semilinear problems, Appl.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Lions, Two geometrical properties of solutions o f semilinear problems, Appl

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.673203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2f970400-bf8e-46e2-8ce6-ecbb9afdd5a2 · outbound

This paper cites A Dimension-Free Hermite-Hadamard Inequality via Gradient Estimates for the Torsion Function.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function A Dimension-Free Hermite-Hadamard Inequality via Gradient Estimates for the Torsion Function

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T13:05:03.463088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43a40619-6ff8-4337-8c81-30ecbf0f5e02 · outbound

This paper cites Magnanini, An introduction to the study of critical p oints of solutions of elliptic and parabolic equations, Rend.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Magnanini, An introduction to the study of critical p oints of solutions of elliptic and parabolic equations, Rend

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.660890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c4bc662d-09e7-44da-aa0c-25fd2ac727f2 · outbound

This paper cites an unresolved cited work.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:05:03.648772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fbfb0e38-30b3-4097-8162-75a66c0933e6 · outbound

This paper cites Nazarov, A centennial of the Zaremba-Hopf-Oleinik l emma.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Nazarov, A centennial of the Zaremba-Hopf-Oleinik l emma

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.637259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9afe3084-6953-4e24-98ba-2b9211a21d07 · outbound

This paper cites P´ olya, Torsional rigidity, principal frequeny, el ectrostatic capacity and symmetrization, Quart.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function P´ olya, Torsional rigidity, principal frequeny, el ectrostatic capacity and symmetrization, Quart

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.624856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bb2c94e2-3d2e-4329-a971-6bbc8d4ef2cd · outbound

This paper cites P´ olya and G.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function P´ olya and G

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.612722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 998aa4b9-53fc-4f6b-be33-01a4a83834c0 · outbound

This paper cites Pucci, J.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Pucci, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.600660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bfd17069-d9df-4b9b-83ec-a095081fe3f0 · outbound

This paper cites Rachh and S.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Rachh and S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.589266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1d816827-6b20-4582-beef-5bebc31c89a1 · outbound

This paper cites Steinerberger, Topological bounds for Fourier coeﬃ cients and applications to torsion, Jour- nal of Functional Analysis 274 (2018), 1611–1630.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Steinerberger, Topological bounds for Fourier coeﬃ cients and applications to torsion, Jour- nal of Functional Analysis 274 (2018), 1611–1630

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.576840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 40ccc1aa-e3b5-4738-b6eb-f87e05172cbf · outbound

This paper cites Talenti, Elliptic equations and rearrangements.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Talenti, Elliptic equations and rearrangements

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.563217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13948c3e-a5d5-42c2-8a50-617b04f4a67b · outbound

This paper cites Volkov, On diﬀerential properties of solutions to boundary value problems for the Laplace equation on polygons, Trudy Mat.

Optimal Trapping of Brownian Motion: A Nonlinear Analogue of the Torsion Function Volkov, On diﬀerential properties of solutions to boundary value problems for the Laplace equation on polygons, Trudy Mat

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:05:03.549907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.