Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T10:40:55.435999Z
Paper Citation Record · LEDGER
A Liouville principle for the random conductance model under degenerate conditions
As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.10691.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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
Reference resolution
41 of 41 outbound references displayed
- verified exact8
- verified fuzzy23
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4fcf4a71-2a34-4480-9050-4729c7ae6335 · outbound
This paper cites Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup.
A Liouville principle for the random conductance model under degenerate conditions Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.610824Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 436a545f-2722-43fa-8351-266bd746ebac · outbound
This paper cites Andres, J.-D.
A Liouville principle for the random conductance model under degenerate conditions Andres, J.-D
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.996776Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e5f345df-988d-4ba4-a59d-57fbe3c6c919 · outbound
This paper cites Andres, J.-D.
A Liouville principle for the random conductance model under degenerate conditions Andres, J.-D
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.987233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5853c72f-77e1-40fd-ac9a-55f3a52f08f6 · outbound
This paper cites Elliptic regularity and quantitative homogenization on percolation clusters.
A Liouville principle for the random conductance model under degenerate conditions Elliptic regularity and quantitative homogenization on percolation clusters
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.593713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6bf022ae-6f71-4cdd-be25-bd8abd580d78 · outbound
This paper cites Bella, B.
A Liouville principle for the random conductance model under degenerate conditions Bella, B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.975695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c6468ff4-6bc0-41d6-ae18-76886ef0e6a2 · outbound
This paper cites Quenched invariance principle for random walks among random degenerate conductances.
A Liouville principle for the random conductance model under degenerate conditions Quenched invariance principle for random walks among random degenerate conductances
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.576138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0ad568c6-ce4a-4057-aa83-8aaf3a3a8950 · outbound
This paper cites Benjamini, H.
A Liouville principle for the random conductance model under degenerate conditions Benjamini, H
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.964111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a733688d-4c82-4662-87c1-7fa816451e3a · outbound
This paper cites Berger and M.
A Liouville principle for the random conductance model under degenerate conditions Berger and M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.952447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 54c28cb5-732b-4f0b-a50b-b5ac521d2465 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.940103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f5178208-a671-4515-b9ac-71c2807bae1c · outbound
This paper cites Biskup, M.
A Liouville principle for the random conductance model under degenerate conditions Biskup, M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.928149Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ba769ce0-dff4-4a87-8002-b477b2533471 · outbound
This paper cites Brydges and T.
A Liouville principle for the random conductance model under degenerate conditions Brydges and T
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.915834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation db015755-e54f-4ca9-b197-b84ea862717c · outbound
This paper cites A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant.
A Liouville principle for the random conductance model under degenerate conditions A discrete harmonic function bounded on a large portion of $\mathbb{Z}^2$ is constant
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.558560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 608a6e9e-1d63-4b76-a54a-a4d2d4055a23 · outbound
This paper cites Coulhon and A.
A Liouville principle for the random conductance model under degenerate conditions Coulhon and A
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.903616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2b007c6f-55d1-4768-a245-b1518ff6e400 · outbound
This paper cites De Masi, P.
A Liouville principle for the random conductance model under degenerate conditions De Masi, P
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.891742Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 574fcd48-9835-4f98-a7f8-c9089d03da4d · outbound
This paper cites Delmotte.
A Liouville principle for the random conductance model under degenerate conditions Delmotte
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.879831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b72ada45-03ea-4df1-934f-ad8608839c21 · outbound
This paper cites Delmotte and J.-D.
A Liouville principle for the random conductance model under degenerate conditions Delmotte and J.-D
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.868147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a5f79377-db3c-45a2-8e48-610545fbd051 · outbound
This paper cites Deuschel, G.
A Liouville principle for the random conductance model under degenerate conditions Deuschel, G
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.856676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1fc8f2ad-8607-419d-a566-9d01b8859fae · outbound
This paper cites Deuschel, T.
A Liouville principle for the random conductance model under degenerate conditions Deuschel, T
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.844898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3e2f56b9-dfe2-4ca5-bb2d-19ed99ffc6d6 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.833278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fe3f852b-5144-4fd5-9bea-3db14bbca050 · outbound
This paper cites Fischer and F.
A Liouville principle for the random conductance model under degenerate conditions Fischer and F
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.820883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a13e6097-8dba-4f15-a64b-5be5353096d0 · outbound
This paper cites Fischer and C.
A Liouville principle for the random conductance model under degenerate conditions Fischer and C
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.809089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cd98ff09-e7c9-46fc-91b9-53d6442eaa51 · outbound
This paper cites A regularity theory for random elliptic operators.
A Liouville principle for the random conductance model under degenerate conditions A regularity theory for random elliptic operators
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T10:40:55.372263Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbccfcb7-35ac-49cb-8d26-0a276d797bc5 · outbound
This paper cites Gloria and F.
A Liouville principle for the random conductance model under degenerate conditions Gloria and F
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.797138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 76de84a1-5609-4116-b4fa-89913df23241 · outbound
This paper cites Gloria and F.
A Liouville principle for the random conductance model under degenerate conditions Gloria and F
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.784427Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b591357c-e561-46eb-ba60-f265fdf34c32 · outbound
This paper cites G¨ urlebeck and A.
A Liouville principle for the random conductance model under degenerate conditions G¨ urlebeck and A
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.772289Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 662e28fb-1901-4dc8-ba32-f5a332ae313c · outbound
This paper cites G¨ urlebeck and A.
A Liouville principle for the random conductance model under degenerate conditions G¨ urlebeck and A
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.760248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a99ab5cb-9c77-405e-af3d-ea7dea251883 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.748474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1319d562-2ffb-490f-829f-4131f03c083f · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.736543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 41e8fc27-7ff1-400b-ade9-2e620a42c730 · outbound
This paper cites K¨ unnemann.
A Liouville principle for the random conductance model under degenerate conditions K¨ unnemann
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.723369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4b8d9c11-57b7-4b79-a147-a33172406a0a · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.710592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 46086ebe-8851-4c42-8122-57ee72d516a8 · outbound
This paper cites Lippner and D.
A Liouville principle for the random conductance model under degenerate conditions Lippner and D
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.696914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 04cb0fb9-b117-4447-9ff7-2868e9a8eea0 · outbound
This paper cites On the sharpness of a three circles theorem for discrete harmonic functions.
A Liouville principle for the random conductance model under degenerate conditions On the sharpness of a three circles theorem for discrete harmonic functions
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.527051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e0f52bdf-d78f-44c1-8bbc-10970dfc3da1 · outbound
This paper cites Ratios of harmonic functions with the same zero set.
A Liouville principle for the random conductance model under degenerate conditions Ratios of harmonic functions with the same zero set
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.508809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7bee2007-1427-4104-9604-fb4d0b2630dd · outbound
This paper cites Mitrea and M.
A Liouville principle for the random conductance model under degenerate conditions Mitrea and M
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.684919Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 25eab3db-8753-47a1-83e7-482370e484c4 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.672333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 034ec787-0155-40d9-8d09-9d9aee0d2963 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.660627Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0789f7ce-3371-4834-a2c8-48e529248a48 · outbound
This paper cites An $L^p$-comparison, $p\in (1,\infty)$, on the finite differences of a discrete harmonic function at the boundary of a discrete box.
A Liouville principle for the random conductance model under degenerate conditions An $L^p$-comparison, $p\in (1,\infty)$, on the finite differences of a discrete harmonic function at the boundary of a discrete box
Reference 37
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.491580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bd21487e-1656-4d52-9828-fff88124cb5d · outbound
This paper cites Decoupling inequalities for the Ginzburg-Landau $\nabla \varphi$ models.
A Liouville principle for the random conductance model under degenerate conditions Decoupling inequalities for the Ginzburg-Landau $\nabla \varphi$ models
Reference 38
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:40:55.474182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 04ce5465-d0fb-4fbc-914e-2bd22a436e63 · outbound
This paper cites Sapozhnikov.
A Liouville principle for the random conductance model under degenerate conditions Sapozhnikov
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T10:40:55.648818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 19162dc4-0208-49e6-b72d-758a72300837 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.635970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8cb26518-eaa8-4734-814f-60d0aa950516 · outbound
This paper cites an unresolved cited work.
A Liouville principle for the random conductance model under degenerate conditions Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T10:40:55.623151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.