Rooted Gibbs-DLR Measures in Planar Directed Polymers | Paper Citation Record

Observation ccb2ded8-c5be-4a76-8910-bc48448d6c93 · outbound

This paper cites Random coalescing geodesics in first-passage percolation.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Random coalescing geodesics in first-passage percolation

Reference 1

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Observation 30d54a66-a1c4-479c-8bb4-3c1f1039d464 · outbound

This paper cites Rounding effects of quenched randomness on first-order phase transitions.Comm.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Rounding effects of quenched randomness on first-order phase transitions.Comm

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:11.077805Z

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Observation 65047360-8bd9-43f8-a89f-d7f5e11825f9 · outbound

This paper cites Alexander.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Alexander

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:11.051992Z

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Observation d3d28303-afaf-4884-bb08-96fd1970eb8c · outbound

This paper cites Aliprantis and Kim C.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Aliprantis and Kim C

Reference 4

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Observation 0e3f2947-78f6-4fc9-a3a2-14d505e68118 · outbound

This paper cites American Mathematical Society, Providence, RI, 2017.

Rooted Gibbs-DLR Measures in Planar Directed Polymers American Mathematical Society, Providence, RI, 2017

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:11.000624Z

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Observation b92460e6-eff3-483a-86a5-fdb0a87e4957 · outbound

This paper cites The Burgers equation with Poisson random forcing.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers The Burgers equation with Poisson random forcing.Ann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.977901Z

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Observation 5ed4934d-99e1-4cfa-ba20-dbe1cceae790 · outbound

This paper cites Inviscid Burgers equation with random kick forcing in noncompact setting.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Inviscid Burgers equation with random kick forcing in noncompact setting

Reference 7

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Observation 1a08fdab-5552-438a-9a5d-39a7cdb4c044 · outbound

This paper cites Space-time stationary solutions for the Burgers equation.J.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Space-time stationary solutions for the Burgers equation.J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.918363Z

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Observation 9b9f2c7e-9375-48dc-813a-bcb35a7ee8df · outbound

This paper cites Thermodynamic limit for directed polymers and stationary solu- tions of the Burgers equation.Comm.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Thermodynamic limit for directed polymers and stationary solu- tions of the Burgers equation.Comm

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.886039Z

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Observation dc5dba33-e363-47e9-80be-36c75003d563 · outbound

This paper cites Non-existence of bi-infinite geodesics in the exponential corner growth model.Forum Math.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of bi-infinite geodesics in the exponential corner growth model.Forum Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.851948Z

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Observation 056a6dae-f1c0-42b6-b0f0-9dc262cbb0e2 · outbound

This paper cites Nonexistence of bigeodesics in planar exponential last passage percolation.Comm.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Nonexistence of bigeodesics in planar exponential last passage percolation.Comm

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.822759Z

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Observation b289095b-28ad-45b0-9b0f-115978163297 · outbound

This paper cites Geodesic trees and exceptional directions in FPP on hyperbolic groups.Adv.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Geodesic trees and exceptional directions in FPP on hyperbolic groups.Adv

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.787633Z

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Observation 573343e9-fb3c-4123-937a-e314f0f4432a · outbound

This paper cites Intertwining the Busemann process of the directed polymer model.Electron.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Intertwining the Busemann process of the directed polymer model.Electron

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.760565Z

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Observation 00fe6c61-fe0c-4a37-aaa3-0722f5375fbd · outbound

This paper cites Kluwer Academic Publishers Group, Dordrecht, 1993.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Kluwer Academic Publishers Group, Dordrecht, 1993

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.731993Z

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Observation baaba056-67b0-499d-aa53-90532a0cd802 · outbound

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Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work

Reference 15

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Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T14:32:08.697085Z

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Observation 0aee1714-7de3-49ad-97b4-6e98070e768d · outbound

This paper cites Non-existence of three non-coalescing infinite geodesics with the same direction in the directed landscape.Probab.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.641330Z

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Observation c06e6103-0796-49f0-a91d-496fc7de998d · outbound

This paper cites Non-existence of bi-infinite polymers.Electron.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of bi-infinite polymers.Electron

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.611930Z

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Observation 2b896512-d63d-445a-b684-0b8f42c28610 · outbound

This paper cites The stationary horizon and semi-infinite geodesics in the directed landscape.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers The stationary horizon and semi-infinite geodesics in the directed landscape.Ann

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.563045Z

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Observation 4e3b183e-63d4-4e32-b9b9-40714cd50933 · outbound

This paper cites Souganidis.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Souganidis

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.528989Z

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Observation 8dc96682-7955-48aa-83d2-7a1703b04e71 · outbound

This paper cites Castaing and M.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Castaing and M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.494553Z

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Observation f1a0d617-e7b7-4a6b-839c-0aa4e8c97f15 · outbound

This paper cites On the input-output map of aG{G{1 queue.J.

Rooted Gibbs-DLR Measures in Planar Directed Polymers On the input-output map of aG{G{1 queue.J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.457920Z

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Observation e0e6dbee-2fef-4d93-abfc-22f196aa220a · outbound

This paper cites Springer, Cham, 2017.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Springer, Cham, 2017

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.418775Z

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Observation b3563569-9902-4efe-88c8-e7f21622c796 · outbound

This paper cites Directed polymers in random environment are diffusive at weak disorder.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Directed polymers in random environment are diffusive at weak disorder.Ann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.377256Z

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Observation 90034bd9-6be9-40ee-aa3c-deeeb4f55ee4 · outbound

This paper cites Multiple geodesics with the same direction.Electron.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Multiple geodesics with the same direction.Electron

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.351792Z

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Observation ce1387f3-a375-4f13-bb61-746eb3409b10 · outbound

This paper cites Busemann functions and infinite geodesics in two- dimensional first-passage percolation.Comm.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and infinite geodesics in two- dimensional first-passage percolation.Comm

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.319940Z

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Observation 349b8ef4-cd5b-43de-8f9b-60cbf3f350d1 · outbound

This paper cites Springer-Verlag, New York, second edition, 1998.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Springer-Verlag, New York, second edition, 1998

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.289404Z

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Observation c557ea32-b520-474b-9890-97adecd14fb7 · outbound

This paper cites Anomalous geodesics in the inhomogeneous corner growth model.Comm.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Anomalous geodesics in the inhomogeneous corner growth model.Comm

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.260754Z

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Observation 5f375ad2-b8d6-4969-81e6-e8abba617724 · outbound

This paper cites Ethier and Thomas G.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Ethier and Thomas G

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.228989Z

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Observation 70ad705b-4961-4b14-a108-96c83e9f680f · outbound

This paper cites Joint distribution of Busemann functions in the exactly solvable corner growth model.Prob.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Joint distribution of Busemann functions in the exactly solvable corner growth model.Prob

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.203315Z

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Observation 6879a698-74cd-41d4-9711-b6c75dcc40ba · outbound

This paper cites Coexistence in two-type first-passage percolation models.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Coexistence in two-type first-passage percolation models

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.177760Z

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Observation d4b74279-386c-4317-8e1d-c3b247a94fa3 · outbound

This paper cites Walter de Gruyter & Co., Berlin, 1988.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Walter de Gruyter & Co., Berlin, 1988

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.152563Z

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Observation d5bf6191-54c9-4fd7-90f9-0d06c6ed1be1 · outbound

This paper cites Geodesics and the competition interface for the corner growth model.Probab.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Geodesics and the competition interface for the corner growth model.Probab

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.128696Z

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Observation 38035bdb-d61f-4ddf-a438-b40d8a964ff7 · outbound

This paper cites Stationary cocycles and Buse- mann functions for the corner growth model.Probab.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Stationary cocycles and Buse- mann functions for the corner growth model.Probab

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.106749Z

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Observation 4a3fce8d-a0b8-411c-b133-f9dbb47222da · outbound

This paper cites Ratios of partition functions for the log-gamma polymer.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Ratios of partition functions for the log-gamma polymer.Ann

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.082236Z

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Observation d37334ef-cc76-444c-b541-397548da5388 · outbound

This paper cites Maximal coupling.Z.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Maximal coupling.Z

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.053570Z

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Observation 48234335-d290-4604-a29e-4cc3718291a7 · outbound

This paper cites Shape of territories in some competing growth models.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Shape of territories in some competing growth models.Ann

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.029182Z

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Observation a9a91bb2-e5cf-465a-aa64-69c8dd64922e · outbound

This paper cites Existence of generalized Busemann functions and Gibbs measures for random walks in random potentials.Trans.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:10.002332Z

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Observation 54225a1a-cf96-418b-b5aa-70bcb9f6970e · outbound

This paper cites Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation.J.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation.J

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.969279Z

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Observation 7e04d983-3964-4f9f-ae22-f809eef9b152 · outbound

This paper cites Geodesics in first passage percolation.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Geodesics in first passage percolation.Ann

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.937005Z

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Observation 9d9ad34e-3eb9-440b-a0bd-8cf03f3ca5fb · outbound

This paper cites Huse and Christopher L.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Huse and Christopher L

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.911050Z

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Observation 7c6ad053-cb8d-4a41-a662-46101a445bca · outbound

This paper cites Existence of weak solutions for stochastic differential equations with driving semimartingales.Stochastics, 4(4):317–337, 1980/81.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.882261Z

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Observation 447f1226-e843-4c65-a0e9-55b45595390a · outbound

This paper cites Sur un type de convergence interm´ ediaire entre la convergence en loi et la convergence en probabilit´ e.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.854510Z

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Observation bbdb050c-48a3-45d0-aae0-9823794fd946 · outbound

This paper cites A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.820817Z

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Observation a30ec669-57b9-4ddd-a1e4-eb3649b36df6 · outbound

This paper cites Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and Gibbs measures in directed polymer models on $\mathbb{Z}^2$

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T14:32:08.957987Z

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Observation aef94030-f5bc-4be9-a2a4-c135ec57fb61 · outbound

This paper cites Busemann functions and Gibbs measures in directed polymer models onZ 2.Ann.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Busemann functions and Gibbs measures in directed polymer models onZ 2.Ann

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.786704Z

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Observation c90c3855-a3a2-4aa4-946f-796f931abcdd · outbound

This paper cites Uniqueness and Ergodicity of Stationary Di- rected Polymers onZ 2.J.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Uniqueness and Ergodicity of Stationary Di- rected Polymers onZ 2.J

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.757466Z

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Observation ef62c3c5-e510-4057-ae74-e4aefcd2e0c7 · outbound

This paper cites Ergodicity and synchronization of the Kardar-Parisi-Zhang equation.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Ergodicity and synchronization of the Kardar-Parisi-Zhang equation

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-15T14:32:08.985786Z

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Observation 64562455-2532-47b5-8032-e031362f796d · outbound

This paper cites Geometry of geodesics through Busemann measures in directed last-passage percolation.J.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Geometry of geodesics through Busemann measures in directed last-passage percolation.J

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.731051Z

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Observation 5004ba9c-b650-46d4-bcec-8027dd70dfe3 · outbound

This paper cites Strong existence and uniqueness of the tilt-indexed Busemann process in the planar corner growth model.

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

Resolution: verified exact; raw_fallback, observed 2026-08-15T14:32:09.332002Z

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Observation 4f63bffc-1fae-4fa9-b692-8db07e470507 · outbound

This paper cites Kechris.Classical descriptive set theory, volume 156 ofGraduate Texts in Math- ematics.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Kechris.Classical descriptive set theory, volume 156 ofGraduate Texts in Math- ematics

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-15T14:32:09.010681Z

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Observation 4202311b-b79e-486e-b259-c5418cc8af3e · outbound

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Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work

Reference 52

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:32:09.686151Z

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Observation 239e41d3-c6dd-41c2-84d8-552151a3b7e1 · outbound

This paper cites an unresolved cited work.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:32:09.660586Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ee9fedee-935f-4d57-a64b-59651bfa600f · outbound

This paper cites an unresolved cited work.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:32:09.633210Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a29881fa-56d0-416f-b907-cd7ccc981761 · outbound

This paper cites an unresolved cited work.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:32:09.609316Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 21b2dfe9-d7e4-469d-a428-94c6e42ee20e · outbound

This paper cites Newman.Topics in disordered systems.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Newman.Topics in disordered systems

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.583574Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2be25c56-d43a-4a19-94d2-a009e8def472 · outbound

This paper cites Phelps.Lectures on Choquet’s theorem, volume 1757 ofLecture Notes in Mathemat- ics.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Phelps.Lectures on Choquet’s theorem, volume 1757 ofLecture Notes in Mathemat- ics

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.561756Z

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Observation 9e2a17c6-3044-4938-9503-45195db59275 · outbound

This paper cites Quenched point-to-point free energy for random walks in random potentials.Probab.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Quenched point-to-point free energy for random walks in random potentials.Probab

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.537670Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa74cce6-427c-4aae-bcd7-90bb863f7c84 · outbound

This paper cites American Mathematical Society, Providence, RI, 2015.

Rooted Gibbs-DLR Measures in Planar Directed Polymers American Mathematical Society, Providence, RI, 2015

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.517424Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0dfd7393-124b-4954-b2ec-0483726a5904 · outbound

This paper cites Quenched free energy and large deviations for random walks in random potentials.Comm.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Quenched free energy and large deviations for random walks in random potentials.Comm

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.497154Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f6535a65-7f82-41a1-9656-460981a8897e · outbound

This paper cites Tyrrell Rockafellar.Convex analysis.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Tyrrell Rockafellar.Convex analysis

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.468104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9b51ea30-3542-47fa-8561-e5fc82378369 · outbound

This paper cites Scaling for a one-dimensional directed polymer with boundary conditions.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Scaling for a one-dimensional directed polymer with boundary conditions

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-15T14:32:09.122516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f358373-2966-48f5-999b-531fde4b6ab8 · outbound

This paper cites Strassen.

Rooted Gibbs-DLR Measures in Planar Directed Polymers Strassen

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:32:09.443388Z

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