Paper Citation Record · LEDGER

Density of finitely supported invariant measures for automorphisms of compact abelian groups

As of 12 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2507.14113.

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

pith.paper-citation-record.v1
2507.14113 v1

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

59 of 59 outbound references displayed

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External citation measurements

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Outbound references

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 1

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 2

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 3

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Reference 4

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Reference 5

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Reference 6

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 7

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Observation 0e1ddc71-fa75-401d-a408-6eb27ba22730 · outbound

This paper cites D\'iaz, Katrin Gelfert, and Bruno Santiago, Weak * and entropy approximation of nonhyperbolic measures: a geometrical approach , Math.

Density of finitely supported invariant measures for automorphisms of compact abelian groups D\'iaz, Katrin Gelfert, and Bruno Santiago, Weak * and entropy approximation of nonhyperbolic measures: a geometrical approach , Math

Reference 8

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Observation edfaeeef-5735-49e9-850e-e77d5044dca9 · outbound

This paper cites Systems 30 (2010), no.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems 30 (2010), no

Reference 9

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Observation f26382d2-4753-4899-84d3-d610e907ff31 · outbound

This paper cites Characters of diagonal products and Hilbert-Schmidt stability.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Characters of diagonal products and Hilbert-Schmidt stability

Reference 10

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Observation e4c90a5e-41a7-43e2-bec7-76c4d0716092 · outbound

This paper cites Residually finite amenable groups that are not Hilbert-Schmidt stable.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Residually finite amenable groups that are not Hilbert-Schmidt stable

Reference 11

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems 42 (2022), no

Reference 12

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Reference 13

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Observation d50604c2-3e57-4840-9da3-5c222408ee21 · outbound

This paper cites 259, Springer-Verlag London, Ltd., London, 2011.

Density of finitely supported invariant measures for automorphisms of compact abelian groups 259, Springer-Verlag London, Ltd., London, 2011

Reference 14

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Observation bacde0ca-2f3f-4ff0-b06e-94db9e89073b · outbound

This paper cites Pytheas Fogg, Substitutions in dynamics, arithmetics and combinatorics, Lecture Notes in Mathematics, vol.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Pytheas Fogg, Substitutions in dynamics, arithmetics and combinatorics, Lecture Notes in Mathematics, vol

Reference 15

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Observation a709491c-a1e3-4219-9fbe-15ef11e2f5c1 · outbound

This paper cites Systems Theory 1 (1967), 1--49.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems Theory 1 (1967), 1--49

Reference 16

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 17

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Observation cb05dea6-eeec-4c86-b1f4-321bdebfb689 · outbound

This paper cites Systems 38 (2018), no.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems 38 (2018), no

Reference 18

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 19

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Observation 5bbb5d19-b8de-432b-abef-4fbe28185bd9 · outbound

This paper cites Lectures on Lie groups over local fields.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Lectures on Lie groups over local fields

Reference 20

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Reference 21

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Observation 6ba1ebfb-4a1f-40ad-b8ae-dea66e965422 · outbound

This paper cites Halmos, On automorphisms of compact groups, Bull.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Halmos, On automorphisms of compact groups, Bull

Reference 22

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Hall, Finiteness conditions for soluble groups, Proc

Reference 23

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Reference 24

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 25

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Reference 26

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Observation 90cb2308-267b-4515-bb60-21cd60bd8ef4 · outbound

This paper cites 30, American Mathematical Society, Providence, RI, 2003.

Density of finitely supported invariant measures for automorphisms of compact abelian groups 30, American Mathematical Society, Providence, RI, 2003

Reference 27

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Reference 28

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Math., vol

Reference 29

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems 9 (1989), no

Reference 30

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Reference 31

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Reference 32

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Reference 33

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Density of finitely supported invariant measures for automorphisms of compact abelian groups C onf., M ath

Reference 34

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems 2 (1982), no

Reference 35

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Reference 38

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Systems 42 (2022), no

Reference 39

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Observation 5d453720-fe7c-47b3-907e-001c9a339aa3 · outbound

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Density of finitely supported invariant measures for automorphisms of compact abelian groups 3, 388--393

Reference 40

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Reference 41

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Reference 42

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Reference 43

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Miles and R

Reference 45

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Reference 46

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Observation 5f0f3d5a-0325-4622-953c-78062e38abce · outbound

This paper cites Pestov, Hyperlinear and sofic groups: a brief guide, Bull.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Pestov, Hyperlinear and sofic groups: a brief guide, Bull

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:10.325819Z

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Observation 7430c3c2-aaaf-450e-86b1-9d215bb46b58 · outbound

This paper cites Phelps, Lectures on C hoquet's theorem , second ed., Lecture Notes in Mathematics, vol.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Phelps, Lectures on C hoquet's theorem , second ed., Lecture Notes in Mathematics, vol

Reference 48

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Observation 7cb7a809-3852-498c-b027-ee3263fc6a95 · outbound

This paper cites Pfister and W.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Pfister and W

Reference 49

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Observation fa616d2d-c192-4051-909c-6110ea34c59c · outbound

This paper cites 1294, Springer-Verlag, Berlin, 2010.

Density of finitely supported invariant measures for automorphisms of compact abelian groups 1294, Springer-Verlag, Berlin, 2010

Reference 50

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Observation 80bd08b4-fbb2-4a9f-862d-6fa6b3294646 · outbound

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 51

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Density of finitely supported invariant measures for automorphisms of compact abelian groups auser Classics, Birkh\

Reference 52

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Reference 53

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Observation 65747084-a773-4330-b5db-ef748f091660 · outbound

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 54

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Observation f5a0833b-52c3-4c15-86be-1d7992031cf4 · outbound

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Density of finitely supported invariant measures for automorphisms of compact abelian groups Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:08.616960Z

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Observation 73b75718-5d0a-4139-8513-8ba2dd35914e · outbound

This paper cites Veech, Periodic points and invariant pseudomeasures for toral endomorphisms, Ergodic Theory Dynam.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Veech, Periodic points and invariant pseudomeasures for toral endomorphisms, Ergodic Theory Dynam

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:08.230371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72218069-823b-4b25-ba45-9defe5c285aa · outbound

This paper cites 79, Springer-Verlag, New York-Berlin, 1982.

Density of finitely supported invariant measures for automorphisms of compact abelian groups 79, Springer-Verlag, New York-Berlin, 1982

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:06.345216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29f1797c-bdfe-45fc-a5f0-046ff06623f3 · outbound

This paper cites Band 144, Springer-Verlag, New York-Berlin, 1974.

Density of finitely supported invariant measures for automorphisms of compact abelian groups Band 144, Springer-Verlag, New York-Berlin, 1974

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:07.873965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a6d30c03-5b7e-43f0-8490-b2815eeef8a0 · outbound

This paper cites 7, 1942--1972.

Density of finitely supported invariant measures for automorphisms of compact abelian groups 7, 1942--1972

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:07.573938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 24d79f42-0758-4b99-aff8-3c65bd39d071 · inbound

Polynomial Hilbert-Schmidt stability of the lamplighter group cites this paper.

Polynomial Hilbert-Schmidt stability of the lamplighter group Density of finitely supported invariant measures for automorphisms of compact abelian groups

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-01T10:53:59.322360Z

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