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Paper Citation Record · LEDGER

Flexibility of Lyapunov exponents

As of 16 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:1908.07891.

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

pith.paper-citation-record.v1
1908.07891 v2

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:16:41.932646Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

44 of 44 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 507ab96b-81dd-4d3a-89f7-732566b3bdca · outbound

This paper cites – Existence of smooth ergodic flows on smooth manifolds.

Flexibility of Lyapunov exponents – Existence of smooth ergodic flows on smooth manifolds

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8c186783-7d1c-4922-82e3-687641095190 · outbound

This paper cites – New examples in smooth ergodic theory.

Flexibility of Lyapunov exponents – New examples in smooth ergodic theory

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6e9e9d8e-d4d3-41c8-b807-d2bcdae4735c · outbound

This paper cites – Random dynamical systems.

Flexibility of Lyapunov exponents – Random dynamical systems

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ad5c96f1-3800-4653-b2a2-efd85e7a5586 · outbound

This paper cites – On the regularization of conservative maps.

Flexibility of Lyapunov exponents – On the regularization of conservative maps

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 274525f6-1e9c-4cad-889b-a22a737377b1 · outbound

This paper cites – Diffeomorphisms with positive metric entropy.

Flexibility of Lyapunov exponents – Diffeomorphisms with positive metric entropy

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 34aa94cb-a282-4ecf-9d9b-10d8e72639f6 · outbound

This paper cites – Removing zero Lyapunov exponents.

Flexibility of Lyapunov exponents – Removing zero Lyapunov exponents

Reference 6

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raw_fallback, observed 2026-08-14T12:16:42.600173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c2008f2c-d546-4582-8b05-0d157ccb93e5 · outbound

This paper cites – Nonuniform hyperbolicity.

Flexibility of Lyapunov exponents – Nonuniform hyperbolicity

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e88035c7-3b46-4278-a22d-231dbb3bce33 · outbound

This paper cites – Flexibility of geometrical and dynamical data in fixed conformal classes.

Flexibility of Lyapunov exponents – Flexibility of geometrical and dynamical data in fixed conformal classes

Reference 8

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raw_fallback, observed 2026-08-14T12:16:42.569442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation fa9994dd-cb0d-47bc-ad5b-02e897bac633 · outbound

This paper cites Geometry and entropies in a fixed conformal class on surfaces.

Flexibility of Lyapunov exponents Geometry and entropies in a fixed conformal class on surfaces

Reference 9

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local_arxiv, observed 2026-08-14T12:16:42.000483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.758586Z digest=sha256:a9a08ededf61f40b0edbe5bdbfde79b999195e0ec88e398a9707c382d3fa6c2f

Observation 3a4cb9c9-1b5e-403e-922a-90097d71c4fa · outbound

This paper cites – Genericity of zero Lyapunov exponents.

Flexibility of Lyapunov exponents – Genericity of zero Lyapunov exponents

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0e2b3a91-1f05-4200-bc24-913c92601ae2 · outbound

This paper cites – Ergodic optimization of Birkhoff averages and Lyapunov exp onents.

Flexibility of Lyapunov exponents – Ergodic optimization of Birkhoff averages and Lyapunov exp onents

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.769279Z digest=sha256:9eaaf45ca41b304c33cb9e8fa1ddaa4aff91fec67ef099316748e11d43775c49

Observation e69d09a4-dff0-4a81-aacd-3e04bc4ca4e4 · outbound

This paper cites – Perturbation of the Lyapunov spectra of periodic orbits.

Flexibility of Lyapunov exponents – Perturbation of the Lyapunov spectra of periodic orbits

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5856b2ec-2016-43f3-aa6b-ddf09946a399 · outbound

This paper cites – The Lyapunov exponents of generic volume-preserving and symplectic maps.

Flexibility of Lyapunov exponents – The Lyapunov exponents of generic volume-preserving and symplectic maps

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 746117fe-a694-45ce-a040-b29f45f9f05a · outbound

This paper cites – Dynamics beyond uniform hyperbolicity.

Flexibility of Lyapunov exponents – Dynamics beyond uniform hyperbolicity

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation acc0e676-0015-4cb5-8df5-512da62482d6 · outbound

This paper cites , – Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus.

Flexibility of Lyapunov exponents , – Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3329c8ce-2256-493f-9a84-1cfae05b70f5 · outbound

This paper cites – Rigidity of equality of Lyapunov exponents for geodesic flo ws.

Flexibility of Lyapunov exponents – Rigidity of equality of Lyapunov exponents for geodesic flo ws

Reference 16

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raw_fallback, observed 2026-08-14T12:16:42.460313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.793911Z digest=sha256:6be4e92f1fc63372be0ad018d9bdedf89415fdb7cb1b7bf5f5be3e303b8763f5

Observation e39fddda-600d-437d-b1b8-7ec9f661e0d3 · outbound

This paper cites Characterizing symmetric spaces by their Lyapunov spectra.

Flexibility of Lyapunov exponents Characterizing symmetric spaces by their Lyapunov spectra

Reference 17

Resolution
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local_arxiv, observed 2026-08-14T12:16:41.977285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.798669Z digest=sha256:cf5cd7bb3fc74e940452b0d533d4d11dba41ca74f48ff41bab80cd7d2e1fc581

Observation 1abee7cb-6319-4c43-b5e6-3ccbd9de3d16 · outbound

This paper cites – Every compact manifold carries a completely hyper- bolic diffeomorphism.

Flexibility of Lyapunov exponents – Every compact manifold carries a completely hyper- bolic diffeomorphism

Reference 18

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raw_fallback, observed 2026-08-14T12:16:42.443748Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.803758Z digest=sha256:1186c3f1edf43b28b6d99337779657b27bdafb0e0c5e23f63615111309ce2e19

Observation 3b2a88ad-65e7-4c52-bccf-5d520370eff8 · outbound

This paper cites – Flexibility of Lyapunov exponents for expanding circle ma ps.

Flexibility of Lyapunov exponents – Flexibility of Lyapunov exponents for expanding circle ma ps

Reference 19

Resolution
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raw_fallback, observed 2026-08-14T12:16:42.427297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.808776Z digest=sha256:0c6e546ed34118b9d0056d903184146a38c43f7a4857b4677bc83532bb5cff36

Observation acd648f6-7530-4667-b6a3-81e221208add · outbound

This paper cites – Flexibility of entropies for surfaces of negative curva- ture.

Flexibility of Lyapunov exponents – Flexibility of entropies for surfaces of negative curva- ture

Reference 20

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raw_fallback, observed 2026-08-14T12:16:42.410727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9dd4c7e3-4c35-4210-bdc7-a7d045166bf1 · outbound

This paper cites T.; Gogolev, A.

Flexibility of Lyapunov exponents T.; Gogolev, A

Reference 21

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raw_fallback, observed 2026-08-14T12:16:42.392706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f98e343c-784d-4af8-9bef-a9e662b31ce5 · outbound

This paper cites – Local rigidity of Lyapunov spec- trum for toral automorphisms.

Flexibility of Lyapunov exponents – Local rigidity of Lyapunov spec- trum for toral automorphisms

Reference 22

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raw_fallback, observed 2026-08-14T12:16:42.377391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.825198Z digest=sha256:dfcf3dcf14c301d08949dcfe2d6ae640805e6032067788ded80bb9e330bd270f

Observation 88f6356c-542b-4996-acba-10ed784f2186 · outbound

This paper cites – Adapted metrics for dominated splittings.

Flexibility of Lyapunov exponents – Adapted metrics for dominated splittings

Reference 23

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raw_fallback, observed 2026-08-14T12:16:42.362215Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8c81bbf5-0a7e-4c8c-bbc7-36bbe121220c · outbound

This paper cites – Infimum of the metric entropy of volume preserving Anosov systems.

Flexibility of Lyapunov exponents – Infimum of the metric entropy of volume preserving Anosov systems

Reference 25

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raw_fallback, observed 2026-08-14T12:16:42.346271Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f31d1e76-d1ca-424d-bf1d-9896f14ad3b5 · outbound

This paper cites – Bernoulli diffeomorphisms on surfaces.

Flexibility of Lyapunov exponents – Bernoulli diffeomorphisms on surfaces

Reference 26

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raw_fallback, observed 2026-08-14T12:16:42.329659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.840444Z digest=sha256:01708c31ca926eda94f4eae8cb4163342036ffd5141a0910b8b1ebb631a89f71

Observation 9ae11d69-75fe-4fb1-a0f0-ea965d30dd4e · outbound

This paper cites – Entropy and closed geodesics.

Flexibility of Lyapunov exponents – Entropy and closed geodesics

Reference 27

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raw_fallback, observed 2026-08-14T12:16:42.314303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.844615Z digest=sha256:fdb4c72339fde7ef20740d5fc32261e3fd88de837f92d956401d7acd724abb2c

Observation 5ec69666-3114-407f-877c-696877a89f9c · outbound

This paper cites – Introduction to the modern theory of dynamical sys- tems.

Flexibility of Lyapunov exponents – Introduction to the modern theory of dynamical sys- tems

Reference 28

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raw_fallback, observed 2026-08-14T12:16:42.299825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.848993Z digest=sha256:38669d7709024f46d07f8bd98aa9edd3aa3cd380979ac59c83b7140f45c9618e

Observation 9de9e510-d56a-4f7f-b8b1-1f825c2a0fa0 · outbound

This paper cites – Arithmeticity and topology of smooth actions of higher rank abelian groups.

Flexibility of Lyapunov exponents – Arithmeticity and topology of smooth actions of higher rank abelian groups

Reference 29

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raw_fallback, observed 2026-08-14T12:16:42.267424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.858661Z digest=sha256:1d85e6e12d310b3a261d8311805b12e2303b34dbdaa66b74233a4f29a84e88fc

Observation 9051e827-17f8-4573-9123-495c5173250a · outbound

This paper cites – Transformation groups in differential geometry.

Flexibility of Lyapunov exponents – Transformation groups in differential geometry

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.253257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.864942Z digest=sha256:0d055e6e8a4eaecfc2f65125bb49b1f1da4b3016ae3d899e84f167b3525cb2f0

Observation 50cc35ff-7873-4c05-b27d-b5d5e30dc749 · outbound

This paper cites – C 1-openness of non-uniform hyperbolic diffeo- morphisms with bounded C 2-norm.

Flexibility of Lyapunov exponents – C 1-openness of non-uniform hyperbolic diffeo- morphisms with bounded C 2-norm

Reference 31

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verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.238355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.870494Z digest=sha256:85df29a3cecf2c0206b1edcd6eacb10e9990b23bc0dd4d7565b6deb28da9e1f0

Observation 60ac8721-c7a0-4d07-aa6d-637bb539f656 · outbound

This paper cites – Inequalities: theory of majorization and its applications.

Flexibility of Lyapunov exponents – Inequalities: theory of majorization and its applications

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.221474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.875064Z digest=sha256:36cf2f5f9344179a79412ae314a476dc4a2a66bbeb877b11ccd4e56ffc8366f5

Observation feb5a817-0898-4e46-9ad3-982f9e00b9e8 · outbound

This paper cites – A note on rigidity of Anosov diffeomorphisms of the three torus.

Flexibility of Lyapunov exponents – A note on rigidity of Anosov diffeomorphisms of the three torus

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.204017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.880391Z digest=sha256:33c1ab3dd52ba262962de0c3ae7620ddf470f5724885bafcdc22c43519b98cd6

Observation b0010ea6-81be-42ae-a884-02ae3ebd3b70 · outbound

This paper cites – On the volume elements on a manifold.

Flexibility of Lyapunov exponents – On the volume elements on a manifold

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.187888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.885228Z digest=sha256:63136b4afa900e6e98fb6b3e4c3fef01c7768e74cf34992d0c39cd53739aeacc

Observation 53f50e95-15fd-4532-8248-bcf55332046f · outbound

This paper cites – Continuity properties of entropy.

Flexibility of Lyapunov exponents – Continuity properties of entropy

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.170797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.890126Z digest=sha256:5d8c11ce22ffc816ef15b34fbc67d1b41638cbb05826cc08cb8a872e3ab444d2

Observation 9269da10-df11-4455-a807-2d062b721f94 · outbound

This paper cites B.; Sinai, Ya.

Flexibility of Lyapunov exponents B.; Sinai, Ya

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.155311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.894746Z digest=sha256:c894ab848b5a1b401b38e2874b82cdce7e07f7958e8e7e80e125afb2af0d4e36

Observation 121f4bd2-a870-42fa-ad38-a1246a553722 · outbound

This paper cites – Central Lyapunov exponent of partially hyperbolic diffeo- morphisms of T3.

Flexibility of Lyapunov exponents – Central Lyapunov exponent of partially hyperbolic diffeo- morphisms of T3

Reference 37

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verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.137534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.898864Z digest=sha256:5e4e02c594f0858c84a99824a57568a13940e2f6d16db52fdefff63e948664a9

Observation cc0c0cab-6201-40b2-a4ff-b242748942a1 · outbound

This paper cites – Partial hyperbolicity and foliations in T3.

Flexibility of Lyapunov exponents – Partial hyperbolicity and foliations in T3

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.120793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.902864Z digest=sha256:0c5ba6665766341dbbdd3faaa47689902d824c257b53cadcfee672094c39d9cd

Observation 19162231-179c-4bb9-9806-7b1cc3e39807 · outbound

This paper cites – Geometric expansion, Lyapunov exponents and foliations.

Flexibility of Lyapunov exponents – Geometric expansion, Lyapunov exponents and foliations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.104429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.908213Z digest=sha256:7a9dd22c40e256559cfbb6fb90e53ad70dbcb81a147234beab4f266caf40e9d6

Observation 6075d071-0ecb-4f22-a4f3-69fb5064dfd0 · outbound

This paper cites – Lyapunov exponents and rigidity of Anosov automorphisms and skew products.

Flexibility of Lyapunov exponents – Lyapunov exponents and rigidity of Anosov automorphisms and skew products

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.086322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.913060Z digest=sha256:f2c35f07fcf9113bbab7fff6b6bcdc67b5709623a2c50904775f6d09e0b678e8

Observation a6ac4f1e-0867-499c-9aff-57bf1c2081f7 · outbound

This paper cites – A (short) survey on dominated splittings.

Flexibility of Lyapunov exponents – A (short) survey on dominated splittings

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.066675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.917512Z digest=sha256:604b95511c8647b53537c419945553ec664a31892335dd042e25d9ad04a5682c

Observation 04629975-e8a8-4910-9794-d61975a3cf0f · outbound

This paper cites – Pathological foliations and removable zero exponents.

Flexibility of Lyapunov exponents – Pathological foliations and removable zero exponents

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.050148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.922345Z digest=sha256:9f562539495ac5a78b9e85d922e3ed2b193540fec2fa51e8781cf7006465242b

Observation c6162297-7882-406a-bdcc-2aaefa3fff21 · outbound

This paper cites – On the fractional parts of the powers of a number.

Flexibility of Lyapunov exponents – On the fractional parts of the powers of a number

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.033772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.928017Z digest=sha256:a40133cf10be89195a8eef6c14b1e006798b2f9acaa5ba17c5950440f3d60441

Observation 44fe90bc-4608-4a45-a964-4ff9d5debede · outbound

This paper cites – Volume growth and entropy.

Flexibility of Lyapunov exponents – Volume growth and entropy

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:16:42.017140Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.932646Z digest=sha256:fc1a8528e0abb3892958ce4677ade4ee1b827204878b55af036e7aa99b4ab7c4

Observation d5b2eeb7-88e4-4d88-b0d1-1d1bc8d1089b · outbound

This paper cites an unresolved cited work.

Flexibility of Lyapunov exponents Unresolved cited work

Reference 1995

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:16:42.283376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:16:41.853809Z digest=sha256:a9bbef6a845f9e77625ec325a255b45b4040cf262d6f078b23d2f178f83be721

Pith citing papers

No inbound Pith citation observations are available.