Paper Citation Record · LEDGER

Markov processes associated to fractal branch groups

As of 7 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2505.21134.

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

pith.paper-citation-record.v1
2505.21134 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:56:45.654423Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:33:08.912057Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T15:33:09.209860Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy10
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d4c9fc5-aa68-486e-9cd9-10e02c465ce1 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:47.869604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8acbd0d-b533-480f-a193-6d402f876a09 · outbound

This paper cites Barnea and A.

Markov processes associated to fractal branch groups Barnea and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:47.755121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 960b22cb-7614-4fad-8082-f0d1c9f1f59f · outbound

This paper cites Bartholdi, R.

Markov processes associated to fractal branch groups Bartholdi, R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:47.641140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e98f12bc-0d79-4350-98b8-71198a7da1ed · outbound

This paper cites Bowen, A measure-conjugacy invariant for free group actions, Ann.

Markov processes associated to fractal branch groups Bowen, A measure-conjugacy invariant for free group actions, Ann

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:47.493757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dfb0b7cf-dcf7-4a96-97d3-535e6757ce15 · outbound

This paper cites Bowen, Non-abelian free group actions: Markov processes, the Abramov- Rohlin formula and Yuzvinskii’s formula, Ergodic Theory Dynam.

Markov processes associated to fractal branch groups Bowen, Non-abelian free group actions: Markov processes, the Abramov- Rohlin formula and Yuzvinskii’s formula, Ergodic Theory Dynam

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:47.377224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6299271e-807c-4904-ac61-12ffda5f60fa · outbound

This paper cites Fari˜ na-Asategui, Cyclicity, hypercyclicity and randomness in self-similar groups, Monatsh.

Markov processes associated to fractal branch groups Fari˜ na-Asategui, Cyclicity, hypercyclicity and randomness in self-similar groups, Monatsh

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:47.221240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6548f36e-2f66-46e5-8584-0d2d4ca0097b · outbound

This paper cites Fari˜ na-Asategui, Restricted Hausdorff spectra of q-adic automorphisms, Adv.

Markov processes associated to fractal branch groups Fari˜ na-Asategui, Restricted Hausdorff spectra of q-adic automorphisms, Adv

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T13:56:44.738412Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c8ca1fc-7d66-4136-858f-5f2f00aaf892 · outbound

This paper cites On the fixed-point proportion of self-similar groups.

Markov processes associated to fractal branch groups On the fixed-point proportion of self-similar groups

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:56:44.854244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5eb06524-c087-4d37-9c0a-1fef6d077fb7 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T13:56:44.933055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a8472d2-e086-42e1-89d3-9a93b36b5bf8 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:47.037686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c50d2f2e-93ae-4ecc-89df-f4991f5dcecc · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T13:56:45.052950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edf64ed7-632a-4346-a45d-47f817bd5576 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:46.859288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53c838b9-e576-4cc8-922e-e5c4c8c492f8 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:46.737799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f376f324-154f-444c-ba7d-6da56b40e2a4 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:46.620788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 53997c04-bbf6-4322-b721-5c2422750775 · outbound

This paper cites Nekrashevych, Self-similar groups, volume 117 of Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2005.

Markov processes associated to fractal branch groups Nekrashevych, Self-similar groups, volume 117 of Mathematical Surveys and Monographs, American Mathematical Society, Providence, RI, 2005

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:46.488306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1574febd-60f9-49cd-a3c9-8de41abbcacc · outbound

This paper cites Ornstein, Bernoulli shifts with the same entropy are isomorphic, Adv.

Markov processes associated to fractal branch groups Ornstein, Bernoulli shifts with the same entropy are isomorphic, Adv

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:46.379375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 42f74679-076d-4821-a2d5-38c553aaa176 · outbound

This paper cites Ornstein, Two Bernoulli shifts with infinite entropy are isomorphic, Adv.

Markov processes associated to fractal branch groups Ornstein, Two Bernoulli shifts with infinite entropy are isomorphic, Adv

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:46.242304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a6035ccb-34f5-470e-9075-5aabb61656c9 · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:56:46.080841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8cebd73c-48db-4276-85dc-e915f3c089ec · outbound

This paper cites an unresolved cited work.

Markov processes associated to fractal branch groups Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T13:56:45.535250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aef7f1c-8630-4594-b688-edef38fcf0a3 · outbound

This paper cites Sinai, On the concept of entropy for a dynamic system, Dokl.

Markov processes associated to fractal branch groups Sinai, On the concept of entropy for a dynamic system, Dokl

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:45.978223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3876d6f5-0233-4d3d-ad1b-20f409f5e720 · outbound

This paper cites ˇSuni´ c, Hausdorff dimension in a family of self-similar groups,Geom.

Markov processes associated to fractal branch groups ˇSuni´ c, Hausdorff dimension in a family of self-similar groups,Geom

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:56:45.854791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 071da778-364f-4fa2-8f4d-93ff38b698b7 · inbound

Random subgroups of branch groups cites this paper.

Random subgroups of branch groups Markov processes associated to fractal branch groups

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:33:09.233837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.