Pith. sign in

Paper Citation Record · LEDGER

Rooted Gibbs-DLR Measures in Planar Directed Polymers

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.

pith.paper-citation-record.v1
2608.09881 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:32:09.129211Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

63 of 63 outbound references displayed

  • verified exact1
  • verified fuzzy51
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

Resolution
unresolved
no resolver link, observed 2026-08-15T14:32:08.555844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:32:08.555844Z digest=sha256:fc313def164299201c35cb97cdb05fb8f2e2504d8c5a995e711d1a7ec2e452f8

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.563109Z digest=sha256:30ea579c0d8d6625a16b680005bbc4b6d77f9df1d3fa32b0cb674479c7952fc1

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.570422Z digest=sha256:68f9652dbb6414398441877e720452420b051c414ef2316fad83158f3f61e798

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:32:11.031522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.578705Z digest=sha256:b18689cc64f8a15372334e099abc7f19691cbeaf36fb6b879f6e38b0d67d4281

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.585956Z digest=sha256:2bb6262b79756c30857917dba00717ec9dae445960649d045d93f6dc98c7aaaf

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.599394Z digest=sha256:8a33cb93f9d28b7a4bc4cef402deeb12125fd8e6ee0f63befda491fc80e151b7

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:32:10.947520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.612711Z digest=sha256:c1399e09d534a50fbac3b0005cc67ea26e60718d52d83225f80c52117380a848

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.626733Z digest=sha256:61de4d04582cf6259374fa1769a79afd73aca5160a607a4b7b1ffc9dc0d2a36d

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.637134Z digest=sha256:7f4d46dcc5dba8385514873c469d82de9790c0204d1abfd8f5c521e9de437710

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.649908Z digest=sha256:33d74108f55c3535d5fa568cd6256847193f7041980d7e0ecd1d9b05ab03af48

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.663304Z digest=sha256:4bfcb747488b174343102a25b301dd900ad7f4737d95b02c43b1c5374dbfa543

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.669285Z digest=sha256:bd2454cf3e6aaa3b7c57c6bde586a130286c5879040754753769401874347d26

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.676730Z digest=sha256:5632dff9a198080b7799519a8ef2974fe818ed39ed03bacb2869c9028fdadbfb

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.684382Z digest=sha256:18cc46fcf4bebf602778336c1e7360e8e4831ca9d7ae2ca8ec89fb41dc24b2ef

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

This paper cites an unresolved cited work.

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

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T14:32:08.690746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:32:08.690746Z digest=sha256:6c7eb53307d7c61aa535722d9768b8d93372ce624f92ad8975bcb6ed7fea7ffb

Observation b79fb178-5c15-4e84-a5e4-781b5c3b754f · outbound

This paper cites an unresolved cited work.

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

Reference 16

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:32:08.697085Z digest=sha256:f0b21f79e50386a172a46fb11e4e503b12f90a5d05f25306f5ed6dd57111344f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.704367Z digest=sha256:cf1a865e6e8dba0fe7afc7d8ff147d132f60b480517890843d479f78ce62a314

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.712265Z digest=sha256:3f892db91a93f2abb47476986a8ece402f3d1d564bdfe75bf9cb817f27ecef4c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.717006Z digest=sha256:384cae5fafbce59e5f3cad24173aa3ca8e340f3e316fed330d5db636e168c928

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.722882Z digest=sha256:d6968cd711e368caf46d00033a326fe49a60e2ced6d381ee77af2b9f22b7b162

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.729544Z digest=sha256:3dc077919b7c1346869fc1e9f9133bb554b5621e159e9b65fc4af13df50557b9

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.739863Z digest=sha256:85a26bf5932f7fe37b2d66ad790c5ea49282fe90e5335a0c37cc6324070515c2

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.746197Z digest=sha256:af10c9bcd96fdf83605ebd446fe56072626664361844d5ca0f4a44202eafd134

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.751717Z digest=sha256:73445fced2d9be6f8c681e9e0eb7cfc292397abe0a07fbffe88c9644d9fd25be

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.759598Z digest=sha256:9f4fa6b67cb2cb139665b9a8d509e844cef220f965fbd970117ae18507d507db

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

Reference 26

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.766146Z digest=sha256:ef364c4c1d8441de40d1c37cc379084f2516da1d3060217dca11b2d9a7213d77

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.779178Z digest=sha256:15150db4fd17809aa00cc77977771ed8f991aa1a433dc153330e44a4f647b379

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.787398Z digest=sha256:9360c639ae4fc319a91cbd83d7736babfa2126e40a4aedb830de686861414bed

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.798667Z digest=sha256:a5d5bef346ece8e8a482db689076e274685e38b4a4dabcd29d4ec7098e7e786b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.805465Z digest=sha256:d8fb230f53ae68ea97fb7e5f79834512e465ed7ba9778d2fb9017470de1437f5

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.819675Z digest=sha256:c290071c4fe8ae31dc4dd879b0c0f579b468a0700a74aba8157d38ad29b86e60

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.830475Z digest=sha256:9b4928052c0d58ed54e2d07ccded44108d94fd6a0e5d1dec8a00372e2bb8e47f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.841495Z digest=sha256:96d02e488b5a67bbb060c2d29126d79d332322c8644f00109f0929fed183080f

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.848890Z digest=sha256:50ac16e94aec6118e92328c0f18d12bf4578cb9f6436df03bfada2cf45ffaecc

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.856212Z digest=sha256:8a72876d92a847a52abe93516c61f653d594730bb1adc8f3b1ba946bacac479b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.869472Z digest=sha256:f4b529b33fe1b1090b98d53ec166a4402e4b75ee00fcb72513cea1e77f4a97eb

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.877826Z digest=sha256:0a93a6a8a7ca1eccca3efbeef5adc95f7e97bd0944e43f1988a9de9c1de57415

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.886248Z digest=sha256:6597bdee5596f020e26b292737984b39f23df4fcb33fe5aadcb69f7b601653dd

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.903554Z digest=sha256:5fcee9892cf12598b421a14a27b4a030726c72a2d2d723db01e125b913fb4513

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.910678Z digest=sha256:2ac63c9941ad187266008442acef0cde807c7532a786cd2cea7c7a2f0b9453e7

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.917110Z digest=sha256:9b862859c10a10dded91929a61387419003c5e6a7a20a0c0cf42cf62e28690c3

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.927336Z digest=sha256:b8d4e01b876449096341658eaed4a8719ae77d15bd7f541a49b1a754b3ddbbe5

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.938489Z digest=sha256:b4e9b9949761c4c7ece3b0a6ccbf1860d5bf47b25db6e4949d0001c109a6b2e2

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.946176Z digest=sha256:494f572c6b9f2ad550f7b30ab3c185e457554745aa751f219340901d9833481d

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:32:08.957987Z digest=sha256:0f37e57da9424c9b3d8aa9ed41045c5e72e36d0b54bacf03371d097af41ea231

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.971616Z digest=sha256:80b675ebf0efe5e1b9efa26f4b891076ed95532314423b93a8f52b82689a6ab7

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.977621Z digest=sha256:ef82dcc5a19edc648f467aa0ed86d6c0322875595c5f4391067687c49b6448e2

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:32:08.985786Z digest=sha256:4ed28ac1ddcce3c5ff55419d718235247187b4ecdd095e3e599d16c720150800

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:08.996047Z digest=sha256:eb1808f45b604f57de3ca96f46e1c5c903e050602a2d1b3352a17d445f547b83

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.003906Z digest=sha256:87c5935160f87d686b474be95a3b2def98d4b0031537a5b116c95fed97f08cbd

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:32:09.010681Z digest=sha256:16a36c86ff20f8369177da4ff28a871b990fc30ee95cec950d142a7196dd6628

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

This paper cites an unresolved cited work.

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

Reference 52

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.040055Z digest=sha256:2ac995bb194b15a784cf3942e162fd74f1ffdbbe021c9c8709b51007eed87239

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.046612Z digest=sha256:3921af677b3a9767db9e485355a5e7ece803842a9236353197f294b7f687835d

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.056921Z digest=sha256:508d024cdc374d4e22e226c28fa69e98f191b6fdbcbfb5229c9072abf4691a34

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.064604Z digest=sha256:8151b2c504f587ac53446460aedac03ffab2263d0b85a0d08966934581729e09

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.071788Z digest=sha256:045a1c7c34bbf1305334d7a9abc15ebd109f67f55dbeeb4580b70d0463f0a929

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.077528Z digest=sha256:a76726b042bfc69988dc1e6c91d676d2d4d931a155acc81da7f247a4038a5151

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.084836Z digest=sha256:884ccef8cf878ee1270319b901e41bd7280b38a32180140bcab6ee95348ce39d

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.093465Z digest=sha256:bc9116081083d909ec24905df9a59fb519693cb5dde5de5e44bf5545e204646b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.103399Z digest=sha256:499124cc80e43b54493badea90d625843959d3cd5156bcb119d3abe9b8213e66

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.111511Z digest=sha256:9dbae53bcd6b42cc7c913f80ee9d02edbfb6bc73de5e7836015c2cbc1855f30d

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.

source=pdf_text observed=2026-08-15T14:32:09.122516Z digest=sha256:a85620218d8f45c0d653e32d31808f6c7fd6b111c988e455459aea2ac9719638

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T14:32:09.129211Z digest=sha256:bcbc76a85e59a1dd4cbf89d04f7f8a32f8cce7a2c2b43efda0d91663fe384b40

Pith citing papers

No inbound Pith citation observations are available.