Pith. sign in

Paper Citation Record · LEDGER

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

As of 9 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 3 inbound Pith citation observations for arXiv:2507.08560.

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

pith.paper-citation-record.v1
2507.08560 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:21:17.295211Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:12:39.399457Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:39:57.923490Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact33
  • verified fuzzy4
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ca27271a-64b9-4fef-942c-a011d9d0da5d · outbound

This paper cites Berestycki, B.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Berestycki, B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:21:17.932485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.119638Z digest=sha256:b35f1ba74e4a7a704d2c0040f7d44d7979e45bc68e768dbb0dc6e9a4d4a4ef82

Observation 2d8f87e8-bc6d-4fd6-b67e-50c08ec0c1f4 · outbound

This paper cites Domino tilings of the Aztec diamond with doubly periodic weightings.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Domino tilings of the Aztec diamond with doubly periodic weightings

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.863631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.123229Z digest=sha256:f6f001102bf1ac07f4e0882a974a5fff4ab8d91a67b07a15e21d379dfa53fa24

Observation 73a35359-961b-48e1-8eb2-98ce4315356e · outbound

This paper cites Geometry of the doubly periodic Aztec dimer model.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Geometry of the doubly periodic Aztec dimer model

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.852567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.126481Z digest=sha256:1e27adb0c153acc476da763c7aa0225fa7b81a28149f5a14ee15e9d7efd973d8

Observation f1197264-1370-4b5c-acac-4be1cd83021b · outbound

This paper cites Crystallization of the Aztec diamond.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Crystallization of the Aztec diamond

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.129867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.129867Z digest=sha256:f399582d26ddfbf4241d2445c9aced6c31d31e2e4e52ae83bae0c0ae8dd301ee

Observation dcac4ab0-ef03-4e3f-9c3d-b5edbaae784c · outbound

This paper cites Gaussian Free Field and Discrete Gaussians in Periodic Dimer Models.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Gaussian Free Field and Discrete Gaussians in Periodic Dimer Models

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.133226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.133226Z digest=sha256:d30caa64be8bbc12131b6fa3a9ceb82cecc19b932f6b64fc496420fdfbdc799c

Observation a945c6d9-6b09-408e-af99-d379fe37e3e1 · outbound

This paper cites Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.824345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.136381Z digest=sha256:726c01d15fc4276e334783cbbe232ddb7ff855e998ce339da5d02464214dc569

Observation a2ef1230-d187-4acc-976a-efeb9f99a4c3 · outbound

This paper cites Perfect sampling algorithm for Schur processes.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Perfect sampling algorithm for Schur processes

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.139861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.139861Z digest=sha256:fbd552ec6c16705a25b8dcedee56c2b1788659daf4e8cd1711ba76b867d7ac6b

Observation c3e53b64-4a88-469e-bbf3-5f06b8e80aa5 · outbound

This paper cites Dimers and M-Curves: Limit Shapes from Riemann Surfaces.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Dimers and M-Curves: Limit Shapes from Riemann Surfaces

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.142906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.142906Z digest=sha256:7484874fb3132aaab48cf3fcea403555e7c07a4685acc5aa48382c48bd88c7e9

Observation 259bde00-e7c5-41af-89d3-431384929a94 · outbound

This paper cites Schur dynamics of the Schur processes.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Schur dynamics of the Schur processes

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.797422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.146023Z digest=sha256:37761db5ac8c7e000762246782b5f65fbc60e326f2f22325f9d29d938c1974f1

Observation fbf77c42-60b3-424e-9fad-7928fd59a755 · outbound

This paper cites Anisotropic growth of random surfaces in 2+1 dimensions.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Anisotropic growth of random surfaces in 2+1 dimensions

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.785964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.148963Z digest=sha256:162f81bef1eb0948e9978d4381f3a0f65d7e5f95af03540ce73b37a4f9b0dac1

Observation 9b20d25c-d280-4090-a736-40355d3d33d0 · outbound

This paper cites Product matrix processes as limits of random plane partitions.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Product matrix processes as limits of random plane partitions

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.774751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.152423Z digest=sha256:48348dd0323f40c2353b70a8f62ad5d24f7b81909013ca2fad2e3e2011350995

Observation 6ecb7ed0-339c-41e6-8d04-c633f8eb3fbe · outbound

This paper cites Fock's dimer model on the Aztec diamond.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Fock's dimer model on the Aztec diamond

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.762225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.155520Z digest=sha256:d76580126e73511d117b7e53ccf01b6ec5b2714e6e77a952e0395cf700d1f7dd

Observation 7ffe6eb3-e73a-4cb7-9699-f6eb9c58cd72 · outbound

This paper cites Representations of classical Lie groups and quantized free convolution.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Representations of classical Lie groups and quantized free convolution

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.750978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.158496Z digest=sha256:60d48716902fd2ccff8808c139626eb0a8647a84c38b429e8b1f6ef1765cf56c

Observation d5574988-bbda-4a73-bbd5-a2d00c9e1229 · outbound

This paper cites Fluctuations of particle systems determined by Schur generating functions.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Fluctuations of particle systems determined by Schur generating functions

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.739059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.162068Z digest=sha256:54e4941f8c21899265879a5fbdc6325e33dcc2cc3a601a4e8dde2e91025e7897

Observation 7cd1168f-20aa-42df-b680-a36a4cf30630 · outbound

This paper cites Fourier transform on high-dimensional unitary groups with applications to random tilings.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Fourier transform on high-dimensional unitary groups with applications to random tilings

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.728152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.165137Z digest=sha256:1d822d6a6d14b28a1aaf356c9f4c09ab6d19cb39bfba8e7aac931bc726249dc9

Observation cff18c36-d3d6-4b28-ac62-ebf4450f6f5f · outbound

This paper cites Asymptotics of random domino tilings of rectangular Aztec diamonds.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Asymptotics of random domino tilings of rectangular Aztec diamonds

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.717081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.168231Z digest=sha256:cbaed96041f4518a13313839609d6255beaa3f814e771300d7733b0045246428

Observation c09cfdd4-45e3-45c9-ae92-8aeac21848bb · outbound

This paper cites Asymptotics of Harish-Chandra transform and infinitesimal freeness.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Asymptotics of Harish-Chandra transform and infinitesimal freeness

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.705085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.171711Z digest=sha256:4e26c2ec193b9b5c8ff11e55c088edcc02301c3b24a723a08b783aa854961c36

Observation 24540252-e467-42fd-b434-ef16c1576632 · outbound

This paper cites Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.693281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.175351Z digest=sha256:0b2437921e07238e8535df551af691ba53304d410d138922c78a81237799e6a3

Observation fe1a4828-51e4-4dc4-b965-03be98ea6ba6 · outbound

This paper cites Domino statistics of the two-periodic Aztec diamond.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Domino statistics of the two-periodic Aztec diamond

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.681587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.179352Z digest=sha256:13a37408ad15c56808c35d7275b7bc04afee71a2d05281dcfeb2bdde962dd36d

Observation 547c8fca-4724-42a1-bc17-3b4117247a3f · outbound

This paper cites Asymptotic domino statistics in the Aztec diamond.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Asymptotic domino statistics in the Aztec diamond

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.670244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.182502Z digest=sha256:044d632a6a888ae4f1ff584502cd26aa2e33c1238bd77953ac0c2d3638fb8589

Observation 66bc1b6c-05b2-4579-a2b8-31f22e23311d · outbound

This paper cites Coupling Functions for Domino tilings of Aztec diamonds.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Coupling Functions for Domino tilings of Aztec diamonds

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.657374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.186048Z digest=sha256:d49c8bd60794050b4a4b69b7f6f4d5cfd1a3c53f7cb9f7c0c5f389d25bed96c0

Observation 42cc54d6-e256-4df7-bd32-5f705ff109c7 · outbound

This paper cites A variational principle for domino tilings.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions A variational principle for domino tilings

Reference 22

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.643813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.190063Z digest=sha256:c6c2a12ce7b34aaf1124153566e3e06012c7476fd7e08b2047c059ea2f90729e

Observation 0c21442a-05e8-4939-8029-dfb233a0a28d · outbound

This paper cites Semiclassical asymptotics of $\operatorname{GL}_N(\mathbb{C})$ tensor products and quantum random matrices.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Semiclassical asymptotics of $\operatorname{GL}_N(\mathbb{C})$ tensor products and quantum random matrices

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.628872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.194274Z digest=sha256:4a6b64f2bba1f3e2cabeaf721d8ed0446b027eebb14866271f3188695cc85167

Observation db9c0949-c6df-4857-a9f9-db876172bc9d · outbound

This paper cites Cuenca and M.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Cuenca and M

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.198248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.198248Z digest=sha256:2a76995983b41f4f5a7d290b50c752374e52afa779c457a127d2a3c83890f35a

Observation 6e41d1e7-bc9d-4046-8b7e-625453d07531 · outbound

This paper cites Arctic Curves in path models from the Tangent Method.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Arctic Curves in path models from the Tangent Method

Reference 25

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T18:21:17.558116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.202311Z digest=sha256:cc098ca4970519c6794a7e51e3390776d292a87fad6ff36fb7b558c70e67d8d3

Observation f569500e-bdf1-4129-bf0f-6fc1f8c14fa4 · outbound

This paper cites Arctic curves of the octahedron equation.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Arctic curves of the octahedron equation

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.544926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.205424Z digest=sha256:dca80cf30fa4c1181437ea04e63154f9c0f4d37b430dc27dd0f896c108474467

Observation d0f3c955-51bb-4be8-b4d2-53678cdaf33c · outbound

This paper cites The two periodic Aztec diamond and matrix valued orthogonal polynomials.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions The two periodic Aztec diamond and matrix valued orthogonal polynomials

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.530904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.209221Z digest=sha256:f0b00ad3a767278e76ffd63133975da3d075d192eaac9efece1515829a29a9ea

Observation 4e0c3740-6007-4d56-abe8-fa15d06feb04 · outbound

This paper cites Duits and R.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Duits and R

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:21:17.924290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.212479Z digest=sha256:e6fca3aca172343cdf2a5429d9142b703f1b7979ea3672b6e21ce811af37dfef

Observation ec21f377-f666-44c7-adfe-799476f8015d · outbound

This paper cites Elkies, G.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Elkies, G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:21:17.916991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.215421Z digest=sha256:9e228b8b60018e7b3d985c8b454ba6fbd6c5daf9f68f131393b51d398f5d8c21

Observation 4be5948f-108b-465b-a848-cd9e155ee34e · outbound

This paper cites an unresolved cited work.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:21:17.909541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.218090Z digest=sha256:c1d212810f90e639800ab333bc024053f43696cdb10812e4b9ddb1a75a060631

Observation 0ad0f723-0239-4354-bdfd-967ac951abd1 · outbound

This paper cites Gaussian fluctuations for products of random matrices.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Gaussian fluctuations for products of random matrices

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.516372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.221033Z digest=sha256:5a8ec7de9b2380e7a6d3d53104b4a993a6cbd1b5ac4cdac76b65f8f9c1824ab4

Observation b50fe403-8903-4e76-9ae2-f2dec6e58c10 · outbound

This paper cites An asymptotic log-Fourier interpretation of the R-transform.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions An asymptotic log-Fourier interpretation of the R-transform

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.502930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.224313Z digest=sha256:3704e9a7f44389392248bb50d619bda8ae114506ae5fa94d182e2e410ed0f56b

Observation a88a0311-a819-4d26-8e3e-5d38ae793d61 · outbound

This paper cites an unresolved cited work.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:21:17.902037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.228071Z digest=sha256:b1433d5ae1f3beb4c4d331bc46eae3298a2c248c6eeb2f404960d692307478d0

Observation 3c03e727-d1cc-4277-892f-1a762da86a0e · outbound

This paper cites Random Domino Tilings and the Arctic Circle Theorem.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Random Domino Tilings and the Arctic Circle Theorem

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.231106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.231106Z digest=sha256:ead7870c8ae4857dcdd210bea0af71ac309d2740609a0f23bc1783be665d0129

Observation 7e336e91-abee-4c54-8fd7-156622adb15a · outbound

This paper cites Non-intersecting Paths, Random Tilings and Random Matrices.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Non-intersecting Paths, Random Tilings and Random Matrices

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.479886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.234674Z digest=sha256:5c88ebf8a16064e788f9821a99ecd63ca37310f1ee204083ba4d1cfcb2c4ef8d

Observation 77a9ab79-aef3-4cf2-bb49-733ff14465ba · outbound

This paper cites The arctic circle boundary and the Airy process.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions The arctic circle boundary and the Airy process

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.468156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.238664Z digest=sha256:ff7ecbc368f94cd0051bc230687b716199c2a7305d96936cac4edfe675cfb3e8

Observation e091f97c-295c-4736-88f3-a800f9c43339 · outbound

This paper cites Eigenvalues of GUE Minors.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Eigenvalues of GUE Minors

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.457111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.241729Z digest=sha256:190bf02894333270634aa2e3fe05abba1fa19625edc6e581b45db91637b86102

Observation 5a8fd7d1-59c9-4fc8-a4f9-6087a003d5a7 · outbound

This paper cites Dominos and the Gaussian free field.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Dominos and the Gaussian free field

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.445495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.245886Z digest=sha256:0926daae4b2163e5113bef9074f719401056224985fe50a71c9905bdf2d8d39c

Observation 3d0b3992-2d36-41b0-8013-52ae6bda412a · outbound

This paper cites Height fluctuations in the honeycomb dimer model.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Height fluctuations in the honeycomb dimer model

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.433712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.250324Z digest=sha256:82ce2638e9191cd8b16e5de94e9df794bafa2ed67c0c8d3fd528fb9da8e99ede

Observation 87cf8cab-d9a6-4743-8af3-1df15548cc2c · outbound

This paper cites Limit shapes and the complex burgers equation.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Limit shapes and the complex burgers equation

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.420772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.253366Z digest=sha256:6c6572becc2a757c3cccbbbb154486130a45f0ae03d9a752c4d32c4b652fbbbc

Observation 4a62b818-5e13-4981-89fe-599a617242d5 · outbound

This paper cites Dimers and Amoebae.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Dimers and Amoebae

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.408588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.256438Z digest=sha256:5d0b83da73cd9371825c41cefb3a97d778b2ea5e7d6bbe3ab81aba359a7da043

Observation e3de14e9-86d2-4785-9fc2-34f467035325 · outbound

This paper cites Limit shapes from harmonicity: dominos and the five vertex model.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Limit shapes from harmonicity: dominos and the five vertex model

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.396084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.260090Z digest=sha256:d70f107cbfde4bfc5466e9276c18cf1c1aa8a1d25bd459b6cf9a570df62d0993

Observation 2d60b1e9-3068-4b5b-868e-f9e03fc50b1f · outbound

This paper cites Two-periodic weighted dominos and the sine-Gordon field at the free fermion point: I.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Two-periodic weighted dominos and the sine-Gordon field at the free fermion point: I

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.263269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.263269Z digest=sha256:ccbdb5a62a17ed97ab103f6118c4830b8c43b8d6f74b8f724d53215551c34339

Observation 740502c0-a04b-472d-8ce7-a64b8f23fa1d · outbound

This paper cites Matsumoto and J.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Matsumoto and J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:21:17.894054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.266878Z digest=sha256:c193c25c10d16a4f3a2c5ec8cdd2c1d0352ad2571346863a138944a06e30f85d

Observation 3811ae04-ff37-403e-9cf3-8f205eeb0316 · outbound

This paper cites Infinite wedge and random partitions.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Infinite wedge and random partitions

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.269818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.269818Z digest=sha256:aea6176ae3c04e02ed9542437a6745b682d12ad7b4eeb088763068da785d63b2

Observation fdd66ffa-f615-4455-8a12-f8aea26e7dda · outbound

This paper cites Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.273211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.273211Z digest=sha256:4446336a4a5c80d564131f8b11d93c10d670a519be7f46e450fff7ff7cdbe2c7

Observation cb056cca-3459-4d30-a5cc-cd3409389532 · outbound

This paper cites Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Super-Rough Glassy Phase of the Random Field XY Model in Two Dimensions

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.359434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.276167Z digest=sha256:60897427febfa727ceee7878f9d8f09a01e3feafa0b776e64f96c839e0d469c7

Observation 7fe75620-17dd-4790-bd52-168def40845d · outbound

This paper cites Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.347678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.279362Z digest=sha256:7bdfb590c25d443a0f626361068bc27220100ac30b802243df81d62751b1f7c6

Observation 0294dd5c-8777-4a14-b2a3-07f4cef477d2 · outbound

This paper cites an unresolved cited work.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:21:17.886269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.282653Z digest=sha256:7111db819ecbab4762943153629082e5f64eeecad11b1544c500d0fc68d5d933

Observation 20bf0e1c-516a-44f0-9a42-6a28e2508ca8 · outbound

This paper cites an unresolved cited work.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:21:17.878971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.285365Z digest=sha256:1244aa17de24e0d3e69245a831478f3aa535e2d2b1e8372a4d889123916587cb

Observation 76aae754-434a-4838-a47c-d7b90bfeeafc · outbound

This paper cites Generalized domino-shuffling.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Generalized domino-shuffling

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:21:17.332664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.289187Z digest=sha256:ed474f2478f888c311a5b62b9cb93b815a65ff61a3e20c87794f8ec12a1a37c3

Observation b95880ea-9c20-434b-b142-1fe8087bc952 · outbound

This paper cites Free Probability Theory.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Free Probability Theory

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-06T18:21:17.292128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T18:21:17.292128Z digest=sha256:77284bdbfd56d5db78f4a134ed9fe9faa388bec4d0897f434d996afcf20811e8

Observation 5d1883df-91ba-413b-8d5c-adf57d1c4c68 · outbound

This paper cites an unresolved cited work.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:21:17.871679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T18:21:17.295211Z digest=sha256:70bbcc9f6aa75a2caee91782eef3d464620d3b0eccc839c4a3bbbf74808f9e50

Pith citing papers

Observation 2d424ec5-1aa7-4227-9de7-33b969ca8099 · inbound

Dimers with layered disorder cites this paper.

Dimers with layered disorder Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T17:12:39.399457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:12:39.399457Z digest=sha256:6a419b7cec81faad4c86615ff7c5b455f80d08ab49e61c0c5bdbf913cbcc9bdf

Observation c7f408a9-ea49-473b-9689-1712dcd2e6c3 · inbound

Quenched and Annealed CLTs for the one-periodic Aztec diamond in random environment cites this paper.

Quenched and Annealed CLTs for the one-periodic Aztec diamond in random environment Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T10:06:20.817082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T10:06:20.817082Z digest=sha256:19ff3a4a2a330c71049efb3d481a8bea18931019ce84bd2e198999f03b156eb5

Observation 1e32d1c8-c70e-44cb-8c30-ca43f9ca813e · inbound

Non-colliding space-time inhomogeneous Markov chains cites this paper.

Non-colliding space-time inhomogeneous Markov chains Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-07-04T14:39:57.925013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T03:08:16.711867Z digest=sha256:80cc54d713b946f352731cb193617b9e7700e4d376bc8d979f909b7a1e6f64e0