Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:07:28.726529Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2507.04098.
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 2026-08-06T20:07:28.726529Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
69 of 69 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9257cb33-bbe0-4e43-9361-8743b0a54e23 · outbound
Parallel spin wave for the Villain model Quantitative hydrodynamic limits of the L angevin dynamics for gradient interface models
Reference 1
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.
Observation daae20c1-e428-4bf4-9a75-ca3140af5ba5 · outbound
Parallel spin wave for the Villain model Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14f966aa-8c58-4afa-93c9-8c4245cb6072 · outbound
Parallel spin wave for the Villain model Elliptic homogenization from qualitative to quantitative
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e09f11f-8dc4-4750-8431-ffda481a4828 · outbound
Parallel spin wave for the Villain model Armstrong, T
Reference 4
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.
Observation 42517c81-0c00-4031-8561-0148ff97a286 · outbound
Parallel spin wave for the Villain model The additive structure of elliptic homogenization
Reference 5
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.
Observation 2b9acb8a-d4a7-48fc-a3a7-1bfcdd05c612 · outbound
Parallel spin wave for the Villain model Quantitative stochastic homogenization and large-scale regularity , volume 352
Reference 6
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.
Observation 5f8b8272-1a8a-4c23-a862-cf32e77f64e4 · outbound
Parallel spin wave for the Villain model Unresolved cited work
Reference 7
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.
Observation 3c207daf-8c1a-4ea3-92f0-8b24bb5cc601 · outbound
Parallel spin wave for the Villain model Armstrong and Charles K
Reference 8
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.
Observation 14a26b67-680a-403f-9fb7-df3a3cea93bf · outbound
Parallel spin wave for the Villain model Local limit theorems for the random conductance model and applications to the Ginzburg--Landau interface model
Reference 9
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.
Observation d82b1d1a-a66d-41ac-98af-7d6b085561bc · outbound
Parallel spin wave for the Villain model C^2 regularity of the surface tension for the interface model
Reference 10
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.
Observation 44628141-da6f-4cb6-9524-3048ad94ebc9 · outbound
Parallel spin wave for the Villain model The scaling limit of the continuous solid-on-solid model
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 914d89e4-25c9-409d-abaa-56da1929cf1c · outbound
Parallel spin wave for the Villain model Bauerschmidt
Reference 12
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.
Observation db5ff1e1-5434-4e8f-b3fc-f2ac0a6198cc · outbound
Parallel spin wave for the Villain model Percolation transition for random forests in d 3
Reference 13
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.
Observation 5dc4ace0-586b-403b-918b-20c21d4bd2d2 · outbound
Parallel spin wave for the Villain model Bricmont, J
Reference 14
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.
Observation ee8a4a89-25e6-4112-90ff-8d9a67e98ace · outbound
Parallel spin wave for the Villain model Lebowitz, Elliott H
Reference 15
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.
Observation 955992a4-1d7b-4c2c-a102-1597709f51ec · outbound
Parallel spin wave for the Villain model Phase coexistence of gradient G ibbs states
Reference 16
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.
Observation d596b6ba-45ea-4fc0-9503-dbf1c293b87c · outbound
Parallel spin wave for the Villain model Unresolved cited work
Reference 17
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.
Observation 68609528-b37b-4b7b-9515-bc1fa451297e · outbound
Parallel spin wave for the Villain model Low temperature properties for correlation functions in classical N -vector spin models
Reference 18
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.
Observation 0aa797d3-1e08-4be2-bd49-8cb03d11c72d · outbound
Parallel spin wave for the Villain model The discrete G aussian model, I
Reference 19
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.
Observation fd17677c-870c-4c79-b4ff-b404252bd2bf · outbound
Parallel spin wave for the Villain model The discrete G aussian model, II
Reference 20
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.
Observation b31f8826-a966-4ca5-88ef-aa2235bbc003 · outbound
Parallel spin wave for the Villain model Scaling limit for a class of gradient fields with nonconvex potentials
Reference 21
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.
Observation 0c3adb83-0ec5-426e-ac6e-99dbe67b0863 · outbound
Parallel spin wave for the Villain model Decay of covariances, uniqueness of ergodic component and scaling limit for a class of systems with non-convex potential
Reference 22
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.
Observation e05fa39f-6728-45ab-9a78-36427f57a93b · outbound
Parallel spin wave for the Villain model Strict convexity of the free energy for a class of non-convex gradient models
Reference 23
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.
Observation 77305688-8278-4e54-9619-ed1f128ea2bb · outbound
Parallel spin wave for the Villain model Validity of the spin-wave approximation for the free energy of the H eisenberg ferromagnet
Reference 24
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.
Observation 9d38f57d-5a82-44a1-930a-5f984d6de0bd · outbound
Parallel spin wave for the Villain model Wilson loops in I sing lattice gauge theory
Reference 25
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.
Observation 7746777a-ba7b-4f04-b4a4-4ce2b99e64c8 · outbound
Parallel spin wave for the Villain model A strong central limit theorem for a class of random surfaces
Reference 26
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.
Observation 059e9fe0-597f-4194-9863-4175c7d898ee · outbound
Parallel spin wave for the Villain model Hydrodynamic limit for a class of degenerate convex $\nabla \varphi$-interface models
Reference 27
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.
Observation 43aba182-11da-4a20-8c8e-39d89ebf8c92 · outbound
Parallel spin wave for the Villain model Delmotte and J.-D
Reference 28
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.
Observation 00efe568-adbf-402a-a618-b290679ef13b · outbound
Parallel spin wave for the Villain model Entropic repulsion for massless fields
Reference 29
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.
Observation a87187c8-b962-4b79-be6b-8f1cc8b092e4 · outbound
Parallel spin wave for the Villain model Large deviations and concentration properties for interface models
Reference 30
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.
Observation bf5c419a-2b2e-4db9-a696-c505e4ae1236 · outbound
Parallel spin wave for the Villain model Dyson, Elliott H
Reference 31
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.
Observation 2f29cad9-b389-4560-ae26-7b465fb8cd23 · outbound
Parallel spin wave for the Villain model Unresolved cited work
Reference 32
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.
Observation 7ac96881-8bb1-4061-b4a7-e17102ad0e31 · outbound
Parallel spin wave for the Villain model A Ray--Knight theorem for interface models and scaling limits
Reference 33
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.
Observation c4651cca-6f0d-440e-b81b-ba65fa6eed69 · outbound
Parallel spin wave for the Villain model Massless phases for the V illain model in d 3
Reference 34
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.
Observation cf11964a-6810-4345-b737-fba7d50bfb8d · outbound
Parallel spin wave for the Villain model Unresolved cited work
Reference 35
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.
Observation 9bc15b2e-6314-4f8b-910d-5d68bf4f3b6c · outbound
Parallel spin wave for the Villain model Kosterlitz- T houless transition line for the two dimensional C oulomb gas
Reference 36
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.
Observation 8e79dec3-8f37-4c90-9182-545305d5e411 · outbound
Parallel spin wave for the Villain model Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition
Reference 37
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.
Observation b26cc460-ed19-4609-bebb-3a1663507ae4 · outbound
Reference 38
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.
Observation 22abdf30-157c-4a3f-b61f-d13767b180d6 · outbound
Reference 39
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.
Observation 203120f3-61df-4749-badd-5c563d5017cb · outbound
Parallel spin wave for the Villain model Funaki and H
Reference 40
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.
Observation 204b8d53-08e6-4f9c-a8e3-723dba455e0a · outbound
Parallel spin wave for the Villain model Fr\" o hlich, B
Reference 41
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.
Observation 7739313c-1a1c-450b-a745-f4fd9ab808ba · outbound
Parallel spin wave for the Villain model Stochastic interface models
Reference 42
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.
Observation 0451842c-7218-4340-a6b3-a1b97ce38b06 · outbound
Parallel spin wave for the Villain model Unresolved cited work
Reference 43
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.
Observation 91a0c10a-6a63-4101-a7a4-dbccd6fee8bf · outbound
Parallel spin wave for the Villain model Gloria, S
Reference 44
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.
Observation f672c308-a22c-4398-9ce0-a3d0d21a5c01 · outbound
Parallel spin wave for the Villain model Gloria and F
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 729ffa3c-c7ee-4e49-9ea3-f4a4c2a502b7 · outbound
Parallel spin wave for the Villain model Gloria and F
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55204ccc-7595-45cd-b248-60119cdeb3b6 · outbound
Parallel spin wave for the Villain model The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78c1d0ec-77be-41a8-bf49-ac0a00e12726 · outbound
Parallel spin wave for the Villain model Quantitative results on the corrector equation in stochastic homogenization
Reference 48
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.
Observation 93ff1981-a434-4f48-8fa6-edb01817e5e7 · outbound
Parallel spin wave for the Villain model Low-temperature asymptotic expansion for classical O ( N ) vector models
Reference 49
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.
Observation d848baa2-8e40-4271-8040-bf7cfb78553b · outbound
Parallel spin wave for the Villain model Goldstone
Reference 50
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.
Observation ed3cf72d-63f4-478d-a43b-959f65200138 · outbound
Parallel spin wave for the Villain model Equilibrium fluctuations for interface model
Reference 51
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.
Observation 6bca7e5f-2c22-4483-9d34-01e19a383e76 · outbound
Parallel spin wave for the Villain model Improved spin-wave estimate for W ilson loops in U(1) lattice gauge theory
Reference 52
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.
Observation 2c187026-b6c9-44d3-ac39-a657ae437f7f · outbound
Parallel spin wave for the Villain model Trudinger
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 910611e3-7b09-4682-8f3d-e4b40b176430 · outbound
Parallel spin wave for the Villain model Unresolved cited work
Reference 54
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.
Observation 1fb00741-91e2-489d-8d67-e37281df6eaf · outbound
Parallel spin wave for the Villain model On the correlation for K ac-like models in the convex case
Reference 55
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.
Observation 28542f5c-a5ac-4709-9d3c-37509481ad75 · outbound
Parallel spin wave for the Villain model Spontaneous symmetry breakdown in the abelian H iggs model
Reference 56
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.
Observation 3a10c753-e236-44c0-b5eb-29aa478f9ba9 · outbound
Parallel spin wave for the Villain model Ordering, metastability and phase transitions in two-dimensional systems
Reference 57
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.
Observation 11954102-da04-45f3-8318-5fad3c00e84c · outbound
Parallel spin wave for the Villain model Random walk: a modern introduction , volume 123
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5ba89a2-010c-45f2-aba5-03ec7ac0ea0d · outbound
Parallel spin wave for the Villain model Fluctuations for the G inzburg- L andau interface model on a bounded domain
Reference 59
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.
Observation 531aedd9-df51-4f40-a23b-9cf295fbaaef · outbound
Parallel spin wave for the Villain model Absence of ferromagnetism or antiferromagnetism in one-or two-dimensional isotropic H eisenberg models
Reference 60
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.
Observation 73f87b41-a39d-42d6-88a3-8f3a3f90ef7d · outbound
Parallel spin wave for the Villain model Naddaf and T
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1fe65c02-d195-4131-85bc-a046c36a7b5e · outbound
Parallel spin wave for the Villain model Newman and Wei Wu
Reference 62
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.
Observation 3f07d64d-db61-4d47-8615-1af48c73d031 · outbound
Parallel spin wave for the Villain model Sheffield
Reference 63
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.
Observation 4dca1d17-4058-4505-a605-3b422dc8e853 · outbound
Parallel spin wave for the Villain model Sj \"o strand
Reference 64
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.
Observation c28aae12-4e0d-4510-a1e3-3b827988f646 · outbound
Parallel spin wave for the Villain model Euclidean proof of the G oldstone T heorem
Reference 65
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.
Observation 10e15010-1b7b-485c-8ec5-2eb1ba8d2d34 · outbound
Reference 66
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.
Observation 4967c4b5-1863-4ca4-83ba-daee2ed75e2b · outbound
Parallel spin wave for the Villain model Localization and delocalization of random interfaces
Reference 67
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.
Observation f2111c16-a852-49ae-8e49-f1c195eb0422 · outbound
Parallel spin wave for the Villain model Theory of one-and two-dimensional magnets with an easy magnetization plane
Reference 68
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.
Observation ee62d1a4-6784-4f51-bbfa-b8dbc75ad672 · outbound
Parallel spin wave for the Villain model Local central limit theorem for gradient field models
Reference 69
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.
No inbound Pith citation observations are available.