Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T17:29:42.339631Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2412.08964.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T17:29:42.339631Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:14:46.367409Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-11T11:14:46.557929Z
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9c93b897-441f-48aa-9fc4-6c4b80630895 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Strict Convexity of the Surface Tension for Non-convex Potentials
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation db3a286b-60ef-4f84-a6a2-095434c7c1fb · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Cauchy-Born Rule from Microscopic Models with Non-convex Potentials
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bac27b54-2c8b-455e-8554-aece6a3c2076 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models A ¨ıd´ekon (2013)
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 11b3321a-96a9-4302-a39f-0b7dc9d3a195 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5da83aad-8d40-4436-9311-4bac533a319b · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models The scaling limit of the continuous solid-on-solid model
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b92022d-69f5-4fc9-a526-2163024f022c · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bauerschmidt and T
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 33f30d54-3e4a-48bc-897e-895a2f980329 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bauerschmidt, J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 97ef566b-b00c-4817-a049-7afa59207db6 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bauerschmidt, J
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8ed20750-5642-4315-a452-8122da573e02 · outbound
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 953ab1c7-8c09-437e-8286-f0e688a30d71 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Benfatto, G
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 31de0db4-37fc-4721-9713-f9926818091f · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Benfatto and J
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2505743e-70b8-4879-85dc-c313c37a8601 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Berezinskii (1971)
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 531d06dd-37fa-4e64-8ae8-c21fb31aaf73 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup (2011)
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d54acc17-b7fa-4aa9-9a03-d540b595602d · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup (2020)
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c23cd1b-73c6-45d9-a1c0-501d37695091 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models A limit law for the maximum of subcritical DG-model on a hierarchical lattice
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8041258-c74b-48fa-a7fd-0fab88b1150a · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and O
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c37f445f-41f6-4efd-a842-b4eb80a72b2b · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and O
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f43f38fa-0b1d-4b93-91da-b3a5c25a4218 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and O
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b7f48c4d-efa7-4063-9a37-599b0f3b08f1 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Biskup and H
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a92b7c96-3e42-43aa-ad81-d9b583a8c8b8 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bleher and Ya.G
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 990c2452-d1ee-4f94-989c-8acad3e56edc · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bleher and Ya.G
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 59b7b92f-9fc3-49cf-8556-49cb579a4f50 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models de Almeida Braga (1989)
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 295bff7a-df86-48d1-a1f9-b203d27bd90e · outbound
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cba593a1-2b6b-4a65-8b93-512cbfe4183d · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Bricmont, J.R
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2aac547b-faff-4b20-b0c6-dbc7ad36ef67 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Brydges (2009)
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9d56ccbf-f016-439b-94e3-3c31d7a35397 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Brydges and T
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fdea8bbd-8fd8-43ec-8232-3440cb7ffbf3 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d223218c-d73d-4354-bc23-1c76f8c31c4d · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Cotar, J.-D
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7185faf3-f534-4734-a1ee-eb30c330aedf · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Upper bounds on the fluctuations for a class of degenerate convex $\nabla \phi$-interface models
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2d4b2205-5d04-499d-9426-ffbc017827cb · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Hydrodynamic limit for a class of degenerate convex $\nabla \varphi$-interface models
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e90f1d4c-0e8f-4e65-bdb5-afaef2da1bfc · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Dimock and T.R
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 35ee0678-5b18-40df-81ce-dedfad93b4d6 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Dobrushin (1972)
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 99fdc66f-db7d-499d-a7f0-c866a729d0ca · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Dyson (1969)
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4bf939fa-c55c-4a90-ab5f-115adf2709c5 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Falco (2012)
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b412d4a8-60e4-4e7c-8253-03b554ceba33 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 727d631a-7168-4113-ae52-9164d2aa87a1 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Fr ¨ohlich and Y.M
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c72bafce-b4ad-497e-b9e4-033314f9e4ca · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Fr ¨ohlich and T
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c5c91951-6631-4c7b-b725-bc36b39278de · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Fr ¨ohlich and B
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a871d223-6f5d-4677-880d-13caa6e22720 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3ddf335b-50d3-4cf1-8f51-120d001ca749 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89d64896-45ab-4c32-8680-4193e54db7d4 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Garban and A
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bc2b5df3-f002-4fae-b38f-0239f07ddce7 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Gawe ¸dzki and A
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d20f5455-a5fa-4c97-a082-b63420791b26 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Giacomin, S
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1c75e17a-741b-437e-b0b4-77c0a7e465b0 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Guidi and D.H.U
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1a631b6b-551b-45c7-add1-21087e816bca · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 968f6667-c4ab-4da3-9b74-55de5fff6e04 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Critical cluster volumes in hierarchical percolation
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a4f64db4-3258-484f-bd18-fc1882b96339 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Hutchcroft (2024)
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2a65d908-5934-4767-89ec-90c88d55b3b5 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models The Fr\"ohlich-Spencer Proof of the Berezinskii-Kosterlitz-Thouless Transition
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99096e9b-72d3-40f2-a3fa-49ee55dae1cc · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Kjaer and H.J
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9168d60e-9d77-4fdc-860d-50788764880d · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Kosterlitz and D.J
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9873b699-d2af-49ba-a888-3c41863a701e · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Lammers (2022)
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d4a4863a-a00b-4436-9511-7e4897b8d8ba · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Lubetzky, F
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bad8416b-f79e-46d5-9352-f43adb9d38b2 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Madaule (2017)
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a93a4afd-188a-44aa-a523-662e37698859 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Marchetti (1992)
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ab205384-e67b-47ff-98c8-bd82ccbb5375 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Marchetti and A
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d29a094e-beee-498f-82e8-afdd8a9f0b34 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Marchetti and J.F
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 14c9629e-7ba2-4372-894f-ee80ac1fb533 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Naddaf and T
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 115a3566-1376-4f6a-a9f7-2de4f4c76b63 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Central Limit Theorem for Multi-Point Functions of the 2D Discrete Gaussian Model at high temperature
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87d0cf14-89db-4874-b78d-0321f9b9b55c · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Sheffield (2005)
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d11aacca-15ab-4d74-b53d-e1aecddae59f · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Siegert (1960)
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 26f0a12e-20c5-4dfa-97da-c79ac2e38714 · outbound
Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models Velenik (2006)
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d1f832f2-1b20-4c4b-a70e-de8d04c37490 · outbound
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c253ab8f-d257-4042-a75b-32bfd6048439 · inbound
Quantitative delocalisation for the Gaussian and $q$-SOS long-range chains Phase transition and critical behavior in hierarchical integer-valued Gaussian and Coulomb gas models
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.