Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:05:03.503539Z
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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.