Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum | Paper Citation Record

Observation 60d3d4b9-9792-4d28-bd37-e6fe19c8775b · outbound

This paper cites Weak mixing directions in non-arithmetic V eech surfaces.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Weak mixing directions in non-arithmetic V eech surfaces

Reference 1

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.347278Z

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Observation 426aa1ee-7ed5-4d52-811d-2b018f081d30 · outbound

This paper cites Weak mixing for interval exchange transformations and translation flows.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Weak mixing for interval exchange transformations and translation flows

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.528256Z

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Observation c5630901-fb49-45a9-85b2-c1b7e5e8b418 · outbound

This paper cites Athreya and Giovanni Forni.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Athreya and Giovanni Forni

Reference 3

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.318335Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa9a68a6-2aa8-4af0-9b68-1f794a14b60d · outbound

This paper cites Quantitative weak mixing for interval exchange transformations.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Quantitative weak mixing for interval exchange transformations

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.295507Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6933f21a-226f-40ba-845e-adaca0dd0f82 · outbound

This paper cites Weak mixing in rational billiards.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Weak mixing in rational billiards

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.543275Z

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Observation ca4a8556-e886-4863-8e27-96be4532be05 · outbound

This paper cites Weak mixing properties of interval exchange transformations & translation flows.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Weak mixing properties of interval exchange transformations & translation flows

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.278797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c8db6b1d-d2de-4961-a99a-b0e8884a7963 · outbound

This paper cites Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.554932Z

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Observation 0b2b1f0a-bd15-4f1b-9d50-6bf5ab19f1b4 · outbound

This paper cites Binary constant-length substitutions and Mahler measures of Borwein polynomials.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Binary constant-length substitutions and Mahler measures of Borwein polynomials

Reference 8

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.250926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5a1c6998-0a3f-43d7-945b-6dc6fcf76f69 · outbound

This paper cites Spectral analysis of a family of binary inflation rules.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Spectral analysis of a family of binary inflation rules

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.565483Z

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Observation 44652889-6e4c-423a-a83c-30e902e1d291 · outbound

This paper cites Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.234987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cc5274db-2e29-4ef3-b698-d525b822beba · outbound

This paper cites Local spectral estimates and quantitative weak mixing for substitution $\mathbb{Z}$-actions.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Local spectral estimates and quantitative weak mixing for substitution $\mathbb{Z}$-actions

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T10:33:13.580242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6d690f72-702b-48cc-bccd-f27554b6cc6e · outbound

This paper cites Bufetov and Boris Solomyak.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Bufetov and Boris Solomyak

Reference 12

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.218949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e05f5ce1-cc5f-47bd-a2da-38584e8d3fb4 · outbound

This paper cites Bufetov and Boris Solomyak.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Bufetov and Boris Solomyak

Reference 13

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.202196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b31a466-3346-4cd2-a4d3-a2e05f9748b1 · outbound

This paper cites Bufetov and Boris Solomyak.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Bufetov and Boris Solomyak

Reference 14

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.186117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 20f6c420-0334-4d42-ae6f-404339d453c6 · outbound

This paper cites Bufetov and Boris Solomyak.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Bufetov and Boris Solomyak

Reference 15

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.170950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d2339805-0239-4e14-93bd-de6a77116c13 · outbound

This paper cites Bufetov and Boris Solomyak.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Bufetov and Boris Solomyak

Reference 16

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.154236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6521a071-1828-4392-918e-4ee1bfbcabd2 · outbound

This paper cites Sinai, and Corinna Ulcigrai.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Sinai, and Corinna Ulcigrai

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:33:13.773629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b3a06b2b-7057-4e1e-a733-b4287830faa5 · outbound

This paper cites M \"o bius disjointness for interval exchange transformations on three intervals.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum M \"o bius disjointness for interval exchange transformations on three intervals

Reference 18

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.139559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e2ee8387-19fa-41d6-86ac-c00adf6956b1 · outbound

This paper cites Self-joinings for 3- IETs.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Self-joinings for 3- IETs

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.123059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e4a9aa72-c5f6-433c-9b73-cb4e4e0af825 · outbound

This paper cites Circle averages and disjointness in typical translation surfaces on every Teichm \"u ller disc.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Circle averages and disjointness in typical translation surfaces on every Teichm \"u ller disc

Reference 20

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.106581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cd01db53-9ed2-4f4b-8b7f-5890404bd3cf · outbound

This paper cites Every ergodic transformation is disjoint from almost every interval exchange transformation.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Every ergodic transformation is disjoint from almost every interval exchange transformation

Reference 21

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.089870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 37b67e96-2763-455c-9b9a-3dcff87824f1 · outbound

This paper cites Deviation of ergodic averages for area-preserving flows on surfaces of higher genus.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Deviation of ergodic averages for area-preserving flows on surfaces of higher genus

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.633424Z

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Unavailable: canonical work link unavailable.

Observation 0bb872bf-70b2-4631-b004-3539e0c3aa2e · outbound

This paper cites Twisted translation flows and effective weak mixing.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Twisted translation flows and effective weak mixing

Reference 23

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.059702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 73b0ac20-a128-41b8-aa83-8fde15ee6b03 · outbound

This paper cites Effective Unique Ergodicity and Weak Mixing of Translation Flows , pages 161--221.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Effective Unique Ergodicity and Weak Mixing of Translation Flows , pages 161--221

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.041314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 680b1b88-8935-447e-80cc-0eb710510bcc · outbound

This paper cites Interval exchange transformations and some special flows are not mixing.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Interval exchange transformations and some special flows are not mixing

Reference 25

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.022405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bd8fd015-573a-4c30-8ea4-5b67b5174f7f · outbound

This paper cites Lyapunov exponents for matrices with invariant subspaces.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Lyapunov exponents for matrices with invariant subspaces

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:33:13.753512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c85cc394-e499-4d79-8306-600627c071b0 · outbound

This paper cites Rigidity in dynamics and M \"o bius disjointness.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Rigidity in dynamics and M \"o bius disjointness

Reference 27

Resolution: verified exact; doi, observed 2026-08-10T10:33:13.005148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f7c0aea3-8483-4459-8301-1736500718e8 · outbound

This paper cites Katok and Anatoly M.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Katok and Anatoly M

Reference 28

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.987975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 512400cd-838a-4371-aa6f-1642435eaa61 · outbound

This paper cites Interval exchange transformations and measured foliations.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Interval exchange transformations and measured foliations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.668147Z

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Observation ad60263e-271d-49b5-80b8-d6c6a8a71476 · outbound

This paper cites Lyapunov exponents of the spectral cocycle for topological factors of bijective substitutions on two letters.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Lyapunov exponents of the spectral cocycle for topological factors of bijective substitutions on two letters

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.672711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faa206eb-ab2d-47bd-a28e-8d11a0e3f897 · outbound

This paper cites The cohomological equation for roth-type interval exchange maps.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum The cohomological equation for roth-type interval exchange maps

Reference 31

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.948325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 69fca491-35d6-410b-be14-420d56d410ac · outbound

This paper cites Around the unit circle.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Around the unit circle

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.682718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6611baec-02d8-47ea-ad9c-90dbacb09c49 · outbound

This paper cites Topological weak-mixing of interval exchange maps.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Topological weak-mixing of interval exchange maps

Reference 33

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.917769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5e8027c5-2294-4c04-891b-663f5b78e99e · outbound

This paper cites Nondegeneracy of the spectrum of the twisted cocycle for interval exchange transformations.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Nondegeneracy of the spectrum of the twisted cocycle for interval exchange transformations

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-10T10:33:13.551644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0940cf7f-8f8a-4b40-a382-8116559bf1d6 · outbound

This paper cites On the lyapunov spectrum of the twisted cocycle for substitutions.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum On the lyapunov spectrum of the twisted cocycle for substitutions

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:33:13.730196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0ccfa33-eb09-4e3c-b7af-9a3f6b6ad1cd · outbound

This paper cites A note on spectral properties of random $S$-adic systems.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum A note on spectral properties of random $S$-adic systems

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.703888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59e001be-cc63-4a7b-9aab-ac83b8d3c2b9 · outbound

This paper cites On the Hausdorff dimension of minimal interval exchange transformations with flips.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum On the Hausdorff dimension of minimal interval exchange transformations with flips

Reference 37

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.900952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1adeefad-d072-4369-9684-86d874acb7b0 · outbound

This paper cites an unresolved cited work.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Unresolved cited work

Reference 38

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.884758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8a18bcb1-8add-46e0-a338-9b35add1ae2d · outbound

This paper cites Weak mixing for logarithmic flows over interval exchange transformations.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Weak mixing for logarithmic flows over interval exchange transformations

Reference 39

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.869062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5dcced65-03b8-4e7a-919c-958d2a9d8b06 · outbound

This paper cites Absence of mixing in area-preserving flows on surfaces.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Absence of mixing in area-preserving flows on surfaces

Reference 40

Resolution: verified exact; doi, observed 2026-08-10T10:33:12.851344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 83ee5375-bb0a-4636-87c7-946dd4252943 · outbound

This paper cites an unresolved cited work.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.729311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation befa844f-c4d1-40a3-b850-45b0d6e56d45 · outbound

This paper cites an unresolved cited work.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Unresolved cited work

Reference 42

Resolution: verified exact; raw_fallback, observed 2026-08-10T10:33:13.498648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d0801cb-9a55-45d3-9fe6-473af346da23 · outbound

This paper cites Dynamics of interval exchange transformations and teichm \"u ller flows.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Dynamics of interval exchange transformations and teichm \"u ller flows

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:33:13.710833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3118f31c-0736-4b42-9fa4-9ce188f7583a · outbound

This paper cites Finite gauss measure on the space of interval exchange transformations.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Finite gauss measure on the space of interval exchange transformations

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.742831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cf830ff-d47d-4959-991f-d5b1b75f88ad · outbound

This paper cites Deviation for interval exchange transformations.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Deviation for interval exchange transformations

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.747434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4170d695-788c-4245-a296-dbc21c3121af · outbound

This paper cites write newline.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum write newline

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-10T10:33:12.751782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4b39a59-65ae-4c3a-a7b2-a10b5e993683 · outbound

This paper cites an unresolved cited work.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-10T10:33:13.676760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a91a4c43-cb31-43d8-a402-e3bd5d49e2d1 · outbound

This paper cites " 'skip if FUNCTION emphasize duplicate empty pop.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum " 'skip if FUNCTION emphasize duplicate empty pop

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:33:13.658724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c7471ac-06fa-485a-bedd-33586720a646 · outbound

This paper cites write newline.

Twisted cocycle for interval exchange transformations: Invariant structures and Lyapunov spectrum write newline

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:33:13.641307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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