Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T14:32:09.129211Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2608.09881.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T14:32:09.129211Z
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
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ccb2ded8-c5be-4a76-8910-bc48448d6c93 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Random coalescing geodesics in first-passage percolation
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30d54a66-a1c4-479c-8bb4-3c1f1039d464 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Rounding effects of quenched randomness on first-order phase transitions.Comm
Reference 2
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 65047360-8bd9-43f8-a89f-d7f5e11825f9 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Alexander
Reference 3
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 d3d28303-afaf-4884-bb08-96fd1970eb8c · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Aliprantis and Kim C
Reference 4
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 0e3f2947-78f6-4fc9-a3a2-14d505e68118 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers American Mathematical Society, Providence, RI, 2017
Reference 5
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 b92460e6-eff3-483a-86a5-fdb0a87e4957 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers The Burgers equation with Poisson random forcing.Ann
Reference 6
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 5ed4934d-99e1-4cfa-ba20-dbe1cceae790 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Inviscid Burgers equation with random kick forcing in noncompact setting
Reference 7
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 1a08fdab-5552-438a-9a5d-39a7cdb4c044 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Space-time stationary solutions for the Burgers equation.J
Reference 8
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 9b9f2c7e-9375-48dc-813a-bcb35a7ee8df · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Thermodynamic limit for directed polymers and stationary solu- tions of the Burgers equation.Comm
Reference 9
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 dc5dba33-e363-47e9-80be-36c75003d563 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of bi-infinite geodesics in the exponential corner growth model.Forum Math
Reference 10
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 056a6dae-f1c0-42b6-b0f0-9dc262cbb0e2 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Nonexistence of bigeodesics in planar exponential last passage percolation.Comm
Reference 11
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 b289095b-28ad-45b0-9b0f-115978163297 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Geodesic trees and exceptional directions in FPP on hyperbolic groups.Adv
Reference 12
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 573343e9-fb3c-4123-937a-e314f0f4432a · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Intertwining the Busemann process of the directed polymer model.Electron
Reference 13
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 00fe6c61-fe0c-4a37-aaa3-0722f5375fbd · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Kluwer Academic Publishers Group, Dordrecht, 1993
Reference 14
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 baaba056-67b0-499d-aa53-90532a0cd802 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b79fb178-5c15-4e84-a5e4-781b5c3b754f · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0aee1714-7de3-49ad-97b4-6e98070e768d · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape.Probab
Reference 17
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 c06e6103-0796-49f0-a91d-496fc7de998d · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of bi-infinite polymers.Electron
Reference 18
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 2b896512-d63d-445a-b684-0b8f42c28610 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers The stationary horizon and semi-infinite geodesics in the directed landscape.Ann
Reference 19
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 4e3b183e-63d4-4e32-b9b9-40714cd50933 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Souganidis
Reference 20
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 8dc96682-7955-48aa-83d2-7a1703b04e71 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Castaing and M
Reference 21
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 f1a0d617-e7b7-4a6b-839c-0aa4e8c97f15 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers On the input-output map of aG{G{1 queue.J
Reference 22
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 e0e6dbee-2fef-4d93-abfc-22f196aa220a · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Springer, Cham, 2017
Reference 23
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 b3563569-9902-4efe-88c8-e7f21622c796 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Directed polymers in random environment are diffusive at weak disorder.Ann
Reference 24
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 90034bd9-6be9-40ee-aa3c-deeeb4f55ee4 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Multiple geodesics with the same direction.Electron
Reference 25
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 ce1387f3-a375-4f13-bb61-746eb3409b10 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and infinite geodesics in two- dimensional first-passage percolation.Comm
Reference 26
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 349b8ef4-cd5b-43de-8f9b-60cbf3f350d1 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Springer-Verlag, New York, second edition, 1998
Reference 27
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 c557ea32-b520-474b-9890-97adecd14fb7 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Anomalous geodesics in the inhomogeneous corner growth model.Comm
Reference 28
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 5f375ad2-b8d6-4969-81e6-e8abba617724 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Ethier and Thomas G
Reference 29
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 70ad705b-4961-4b14-a108-96c83e9f680f · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Joint distribution of Busemann functions in the exactly solvable corner growth model.Prob
Reference 30
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 6879a698-74cd-41d4-9711-b6c75dcc40ba · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Coexistence in two-type first-passage percolation models
Reference 31
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 d4b74279-386c-4317-8e1d-c3b247a94fa3 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Walter de Gruyter & Co., Berlin, 1988
Reference 32
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 d5bf6191-54c9-4fd7-90f9-0d06c6ed1be1 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Geodesics and the competition interface for the corner growth model.Probab
Reference 33
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 38035bdb-d61f-4ddf-a438-b40d8a964ff7 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Stationary cocycles and Buse- mann functions for the corner growth model.Probab
Reference 34
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 4a3fce8d-a0b8-411c-b133-f9dbb47222da · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Ratios of partition functions for the log-gamma polymer.Ann
Reference 35
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 d37334ef-cc76-444c-b541-397548da5388 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Maximal coupling.Z
Reference 36
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 48234335-d290-4604-a29e-4cc3718291a7 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Shape of territories in some competing growth models.Ann
Reference 37
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 a9a91bb2-e5cf-465a-aa64-69c8dd64922e · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials.Trans
Reference 38
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 54225a1a-cf96-418b-b5aa-70bcb9f6970e · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation.J
Reference 39
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 7e04d983-3964-4f9f-ae22-f809eef9b152 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Geodesics in first passage percolation.Ann
Reference 40
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 9d9ad34e-3eb9-440b-a0bd-8cf03f3ca5fb · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Huse and Christopher L
Reference 41
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 7c6ad053-cb8d-4a41-a662-46101a445bca · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Existence of weak solutions for stochastic differential equations with driving semimartingales.Stochastics, 4(4):317–337, 1980/81
Reference 42
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 447f1226-e843-4c65-a0e9-55b45595390a · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Sur un type de convergence interm´ ediaire entre la convergence en loi et la convergence en probabilit´ e
Reference 43
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 bbdb050c-48a3-45d0-aae0-9823794fd946 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential
Reference 44
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 a30ec669-57b9-4ddd-a1e4-eb3649b36df6 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aef94030-f5bc-4be9-a2a4-c135ec57fb61 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and Gibbs measures in directed polymer models onZ 2.Ann
Reference 46
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 c90c3855-a3a2-4aa4-946f-796f931abcdd · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Uniqueness and Ergodicity of Stationary Di- rected Polymers onZ 2.J
Reference 47
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 ef62c3c5-e510-4057-ae74-e4aefcd2e0c7 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Ergodicity and synchronization of the Kardar-Parisi-Zhang equation
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64562455-2532-47b5-8032-e031362f796d · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Geometry of geodesics through Busemann measures in directed last-passage percolation.J
Reference 49
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 5004ba9c-b650-46d4-bcec-8027dd70dfe3 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Strong existence and uniqueness of the tilt-indexed Busemann process in the planar corner growth model
Reference 50
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 4f63bffc-1fae-4fa9-b692-8db07e470507 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Kechris.Classical descriptive set theory, volume 156 ofGraduate Texts in Math- ematics
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4202311b-b79e-486e-b259-c5418cc8af3e · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work
Reference 52
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 239e41d3-c6dd-41c2-84d8-552151a3b7e1 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work
Reference 53
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 ee9fedee-935f-4d57-a64b-59651bfa600f · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work
Reference 54
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 a29881fa-56d0-416f-b907-cd7ccc981761 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work
Reference 55
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 21b2dfe9-d7e4-469d-a428-94c6e42ee20e · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Newman.Topics in disordered systems
Reference 56
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 2be25c56-d43a-4a19-94d2-a009e8def472 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Phelps.Lectures on Choquet’s theorem, volume 1757 ofLecture Notes in Mathemat- ics
Reference 57
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 9e2a17c6-3044-4938-9503-45195db59275 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Quenched point-to-point free energy for random walks in random potentials.Probab
Reference 58
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 aa74cce6-427c-4aae-bcd7-90bb863f7c84 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers American Mathematical Society, Providence, RI, 2015
Reference 59
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 0dfd7393-124b-4954-b2ec-0483726a5904 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Quenched free energy and large deviations for random walks in random potentials.Comm
Reference 60
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 f6535a65-7f82-41a1-9656-460981a8897e · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Tyrrell Rockafellar.Convex analysis
Reference 61
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 9b51ea30-3542-47fa-8561-e5fc82378369 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Scaling for a one-dimensional directed polymer with boundary conditions
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f358373-2966-48f5-999b-531fde4b6ab8 · outbound
Rooted Gibbs-DLR Measures in Planar Directed Polymers Strassen
Reference 63
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.
No inbound Pith citation observations are available.