Paper Citation Record · LEDGER

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.13515.

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

pith.paper-citation-record.v1
2412.13515 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:10:48.368256Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

verified exact0
verified fuzzy21
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 44d4f4f6-db3e-40cd-96db-6c7df799d40a · outbound

This paper cites Beltr´ an, C.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Beltr´ an, C

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.718277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b1a4a1dd-a730-482b-ab2b-d828f107d930 · outbound

This paper cites Beltr´ an, C.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Beltr´ an, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.707552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 82bf3aad-b6a7-429d-afa8-941d74d1ef19 · outbound

This paper cites Beltr´ an, C.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Beltr´ an, C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.696763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cb4cff6e-e43f-4fdb-a3b4-fc909d63177f · outbound

This paper cites Beltr´ an, C.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Beltr´ an, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.687060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation af22763c-c4cf-44cf-94c2-9c1d6b432fce · outbound

This paper cites Ben Arous, R.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Ben Arous, R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.677250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 35a35653-d85d-4cea-8e52-ec9f03fab40b · outbound

This paper cites Bertini, A.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Bertini, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.667288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7438d06d-9df3-4fe4-938b-e53fb2278c42 · outbound

This paper cites Bertini, A.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Bertini, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.657753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a5ece56f-2887-463d-8981-fb47b4d0419a · outbound

This paper cites Bertini, D.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Bertini, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.647711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 92bdc365-e240-4d08-82ae-fd6eb1512a0c · outbound

This paper cites Bovier, F.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Bovier, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.637164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 820602b8-5ecb-475c-aa0f-521cfbf323cb · outbound

This paper cites Bovier, F.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Bovier, F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.625388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 32602aa7-d08f-46a8-a3e3-a16457c7a879 · outbound

This paper cites Braides: Γ -Convergence for beginners.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Braides: Γ -Convergence for beginners

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.614073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b3ed0f03-4423-4688-bd44-0eb4bcdc292c · outbound

This paper cites Cirillo, E.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Cirillo, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.603827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9a760df8-e6ef-46a1-bc70-2996ad0676dc · outbound

This paper cites an unresolved cited work.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:10:48.593378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b19fc0a-b205-4932-a929-0f26d00e80bb · outbound

This paper cites Freidlin, L.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Freidlin, L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.579731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 20c8f362-8ed5-4218-be00-87d15604d819 · outbound

This paper cites an unresolved cited work.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:10:48.568710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f9091624-efbd-4f0e-ad34-674ba206b64c · outbound

This paper cites Gaudilli` ere, F.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Gaudilli` ere, F

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.557317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a8bf9d80-e013-4d6e-9276-68f7cba718b9 · outbound

This paper cites den Hollander, F.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains den Hollander, F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.546084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d302f73b-e5bf-44da-a13e-168496ffd2d6 · outbound

This paper cites Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts models without external fields.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts models without external fields

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:48.326594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 110b86f4-a7da-4847-978f-0eea45200ae4 · outbound

This paper cites an unresolved cited work.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:10:48.525431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a92aef27-0f9e-4527-ba56-d3ba121f4b9c · outbound

This paper cites Komorowski, C.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Komorowski, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.513455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e8d78153-7c6c-4297-80c8-8e6b5310908e · outbound

This paper cites Landim: Metastable Markov chains.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Landim: Metastable Markov chains

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T13:10:48.338028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a378cbfc-0972-4574-8ead-20ccc77ffd8c · outbound

This paper cites Landim: Metastability from the large deviations poi nt of view: A Γ-expansion of the level two large deviations rate functional of non-reversible ﬁni te-state Markov chains.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Landim: Metastability from the large deviations poi nt of view: A Γ-expansion of the level two large deviations rate functional of non-reversible ﬁni te-state Markov chains

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.503025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b259c1e5-0de9-4492-b62f-87afd90ad8d2 · outbound

This paper cites Landim, P.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Landim, P

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.491636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bc144f6c-8d86-4b61-9f87-85fa78bdfd48 · outbound

This paper cites Landim, M.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Landim, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.480508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation caad12cc-db69-43f7-8a6b-699ca8696986 · outbound

This paper cites Landim, T.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Landim, T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.469296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c0c560d7-a5f0-4281-a939-cd776d3ec047 · outbound

This paper cites Mariani: A Γ-convergence approach to large deviatio ns.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Mariani: A Γ-convergence approach to large deviatio ns

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:10:48.457475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 22839989-7530-4a46-ac86-1060e7f86f46 · outbound

This paper cites an unresolved cited work.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:10:48.443226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6def02a3-3a47-499b-b147-839e5f0abeaa · outbound

This paper cites an unresolved cited work.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:10:48.431668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0bf98192-0fdf-4ddb-ba06-2b1b49d93896 · outbound

This paper cites an unresolved cited work.

$\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:10:48.419340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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