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Paper Citation Record · LEDGER

Generalized hyperbolicity for diffeomorphisms of Banach spaces

As of 13 August 2026, this Paper Citation Record lists 100 of 137 outbound references and 0 inbound Pith citation observations for arXiv:2510.05499.

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pith.paper-citation-record.v1
2510.05499 v3

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measured 100 of 137 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T11:26:21.953153Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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100 of 137 outbound references displayed

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Outbound references

Observation 59483063-6327-4691-b521-faf3b17efb9c · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

Reference 1

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Observation 4750a252-59a7-48bf-bb9a-63179456088e · outbound

This paper cites Apushkinskaya, S.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Apushkinskaya, S

Reference 2

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Observation 50063648-2939-417c-8741-fdcbacd1810a · outbound

This paper cites Shadowing for Infinite Dimensional Dynamical Systems.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Shadowing for Infinite Dimensional Dynamical Systems

Reference 3

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Observation bdb1d3cd-239d-4d37-96f2-9d1bf1a50e9d · outbound

This paper cites Arrieta, A.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Arrieta, A

Reference 4

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Observation 08a88524-1ca5-4927-9a0b-d0991e46271f · outbound

This paper cites Avila.Dynamics of Renormalization Operators.In Proceedings of the International Congress of Mathematicians (ICM 2010), Vol.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Avila.Dynamics of Renormalization Operators.In Proceedings of the International Congress of Mathematicians (ICM 2010), Vol

Reference 5

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Observation 732f43a7-11cf-412b-b803-8731a7cb3712 · outbound

This paper cites Avila, M.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Avila, M

Reference 6

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Observation f869e687-127d-45ed-af78-6d91542ef453 · outbound

This paper cites Shadowing for infinite dimensional dynamics and exponential trichotomies.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Shadowing for infinite dimensional dynamics and exponential trichotomies

Reference 7

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Observation bdfa530c-3fe3-4dce-bdaa-f6141cb8cc1a · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

Reference 8

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Observation c28e7380-36e5-424e-84d6-87b5863cedfd · outbound

This paper cites Barreira, D.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Barreira, D

Reference 9

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Observation c4c3165a-993a-40de-b74f-912a4181a57a · outbound

This paper cites Bayart, E.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Bayart, E

Reference 10

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Observation 4db24bab-bb01-4342-b80c-c4c9128695e7 · outbound

This paper cites Bernardes.On nested sequences of convex sets in Banach spaces.J.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Bernardes.On nested sequences of convex sets in Banach spaces.J

Reference 11

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Observation d78e98d2-b6c6-4a5b-a567-4bf6153f1aeb · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

Reference 12

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

Reference 14

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Observation e11bac73-e84a-4b98-b8ea-f874519cef42 · outbound

This paper cites Bernardes, P.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Bernardes, P

Reference 15

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Observation c896a8c9-e484-4a26-87a1-087d2e218d1e · outbound

This paper cites Bernardes Jr., F.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Bernardes Jr., F

Reference 16

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Observation a0f7506d-0432-490b-b0fd-9feeef00ec72 · outbound

This paper cites Bernardes, A.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Bernardes, A

Reference 17

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 80760e14-224b-4aaa-8554-fc4ce5490bee · outbound

This paper cites Bernardes, A.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Bernardes, A

Reference 19

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Observation 4af6948c-d876-471b-8913-10a962aee990 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 75f92909-133c-4158-8215-7b3c022bdd40 · outbound

This paper cites Boffetta, S.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Boffetta, S

Reference 21

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Observation 7c7d454d-c096-4a1c-97e3-40f1bf444ef5 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 124c373a-a4cc-4e5b-aaea-a72de3283eeb · outbound

This paper cites Carvalho, J.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Carvalho, J

Reference 24

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Observation c4c6182b-b092-4751-89f7-69dd821b404a · outbound

This paper cites de Carvalho, M.

Generalized hyperbolicity for diffeomorphisms of Banach spaces de Carvalho, M

Reference 25

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Observation 38c6b49f-4e42-4e60-a044-d9d55dae21d8 · outbound

This paper cites Chicone, Y.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Chicone, Y

Reference 26

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 04396374-ee6c-498e-8b53-0ffa8a5db08a · outbound

This paper cites Cirilo, B.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Cirilo, B

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Observation 9539f21b-04cb-4340-86e6-2fd02f8baaf0 · outbound

This paper cites Coullet, C.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Coullet, C

Reference 29

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 3141f54d-098d-4a29-8b16-def90d0500f2 · outbound

This paper cites A Priori Bounds for H\'enon-like Renormalization.

Generalized hyperbolicity for diffeomorphisms of Banach spaces A Priori Bounds for H\'enon-like Renormalization

Reference 31

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Observation 767eaffb-fecb-4967-9458-1f466f772f0d · outbound

This paper cites Diamond, P.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Diamond, P

Reference 32

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Observation f899c5e3-0124-4ec8-8676-5088a8b31460 · outbound

This paper cites Diekmann, S.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Diekmann, S

Reference 33

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation baa75161-08ac-4d6e-b400-6e1aef8cdec1 · outbound

This paper cites Engel, R.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Engel, R

Reference 35

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Observation 3fd25dec-576e-4966-a316-b4f5c928f2dd · outbound

This paper cites Fiedler, B.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Fiedler, B

Reference 36

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Observation 7780d09d-ff7a-44a9-87b3-f6730a7364d9 · outbound

This paper cites Fiedler, D.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Fiedler, D

Reference 37

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Observation 99ffe63a-a67e-4b97-a372-b015665bd977 · outbound

This paper cites Fisher, B.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Fisher, B

Reference 38

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Observation 650d41ad-fc2a-47f5-95aa-dfaf47b62c64 · outbound

This paper cites Foias, G.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Foias, G

Reference 39

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Observation ca9a8a55-2183-4014-82aa-9940a58b6056 · outbound

This paper cites Gan.The star systemsX ∗ and a proof of theC 1 Ω-stability conjecture for flows, J.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Gan.The star systemsX ∗ and a proof of theC 1 Ω-stability conjecture for flows, J

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Observation f2e5d8b5-c359-4e3d-a524-6bea6bffd95e · outbound

This paper cites Gan.A generalized shadowing lemma.Discrete Contin.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Gan.A generalized shadowing lemma.Discrete Contin

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 7c16b0c8-9ed4-489f-8337-6d997a2f5ccd · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 252d2403-0724-4b7b-833a-da29a0fb3ee6 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 2e4014d9-9d9c-41ec-b7df-58f17fbed45b · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation edba6fa8-02c7-42e4-80bf-86c9ae8ff718 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 1d5184a3-125b-44d9-a11e-895c7704156a · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:16.283847Z digest=sha256:51730b0ac36a41942fc77a2e1ded5291ec804d941090f27e973f6dd30f6cef64

Observation fde4a8f5-0c15-4fd8-ba79-611a9affdb47 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Godefroy, J

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Observation 171d0ca8-4912-4c45-99a4-d8e7b4e63dcb · outbound

This paper cites Grosse-Erdmann, A.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Grosse-Erdmann, A

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Observation 85649618-a849-4cd4-a472-58a25f3c966d · outbound

This paper cites Guckenheimer, R.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Guckenheimer, R

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Observation e896e947-a70a-4abb-a394-2e4d141b6393 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 8a94f434-e830-4acf-917a-fdd1acb608d7 · outbound

This paper cites Hayashi,Connecting invariant manifolds and the solution of theC 1 stability andΩ-stability conjec- tures for flows, Ann.

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Observation ac50bf99-5b33-4b02-baef-67bcde69e7cf · outbound

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Observation f68fae11-66c7-42a4-9b00-85044f9e9107 · outbound

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Observation 7a9bae38-6883-4c57-8d6b-7527c5961121 · outbound

This paper cites Hochs, A.J.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Hochs, A.J

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Observation 7b16c6ea-6d61-4419-be0f-8dcd33afaf75 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 82df1471-58a8-42fa-81f8-ed3faa0272aa · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation 6c9c95a1-1fe4-4149-bbfd-af9127d152fb · outbound

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Observation 528394ce-bf60-4583-a977-640c4b35e731 · outbound

This paper cites Katok, B.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Katok, B

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Observation 7a287753-170b-44ac-8f31-a06e6ea0d664 · outbound

This paper cites Latushkin, T.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Latushkin, T

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Observation f345f518-105e-444f-bd4d-4e5aa2376512 · outbound

This paper cites Latushkin, T.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Latushkin, T

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Observation 1141d849-7608-4b2f-8bca-fd248d43a042 · outbound

This paper cites Lani-Wayda.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Lani-Wayda

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Observation 040d69a5-a072-460d-9b14-da040937db46 · outbound

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Observation e1652630-3776-4fb7-b3fa-d9db93528a3a · outbound

This paper cites Lani-Wayda.Erratic solutions of simple delay equations.Trans.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Lani-Wayda.Erratic solutions of simple delay equations.Trans

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Observation 181abab2-b790-4ed8-9a9d-f74a33e48987 · outbound

This paper cites Charles Li.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Charles Li

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Observation f6797c78-e99d-45a7-a4ca-842e3d3716ba · outbound

This paper cites Li,Orbital shadowing and stability for vector fields.J.

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Observation ff153c1f-558e-4734-804a-7b671ad63d9d · outbound

This paper cites Li.Chaos and Shadowing Lemma for Autonomous Systems of Infinite Dimensions.Journal of Dy- namics and Differential Equations 15, 699–730 (2003).

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Observation 6aa117d2-d427-4a5a-b309-3708c7ffdcab · outbound

This paper cites Lian, L.-S.

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Observation d775c29e-001d-4eb2-a9c7-0981abec6d7f · outbound

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Observation fffc82a9-2b88-41a1-b8ba-f05b03420f44 · outbound

This paper cites de la Llave.A Smooth Center Manifold Theorem which Applies to Some Ill-Posed Partial Differential Equations with Unbounded Nonlinearities.J.

Generalized hyperbolicity for diffeomorphisms of Banach spaces de la Llave.A Smooth Center Manifold Theorem which Applies to Some Ill-Posed Partial Differential Equations with Unbounded Nonlinearities.J

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Observation 827912d8-8253-4b0e-b285-02b2887100b1 · outbound

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Observation 8b08b225-02ef-40c5-98a8-45b2b19093d9 · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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Observation cd6b2004-2574-47b8-a396-b8668daa974c · outbound

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Observation 7faab52a-805c-4624-9f6a-5a8459baa4be · outbound

This paper cites Lyubich, M.

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Observation ac54d9f5-6e3a-4feb-a08e-9d5b93ecd59c · outbound

This paper cites Lyubich, M.

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Observation 6555156f-c1b7-4c11-9353-5c2a38a229fa · outbound

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Observation 230811b9-6a79-46d4-bcaf-6190f4c9d50b · outbound

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Observation 3b9a553b-fcb2-484d-a914-82eb6e9a6b41 · outbound

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Observation 023761f3-694d-448f-96d8-c3360a029483 · outbound

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Observation de172d01-7f92-4051-b340-61f36c9f0f21 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Ma˜ n´ e.Characterizations of AS diffeomorphisms.Geometry and Topology, Lect

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Observation d6aba6f6-50fa-434d-a645-729e05d2a87d · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Ma˜ n´ e.An ergodic closing lemma.Ann

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source=pdf_text observed=2026-08-04T11:26:20.264444Z digest=sha256:3886f9a8fb11c45fad2ebb0af5f30b5e5176551ed3a12352e694f07615edc099

Observation c49d5a03-d1bd-46d9-ae2d-5a4ffcdabfb5 · outbound

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source=pdf_text observed=2026-08-04T11:26:20.389877Z digest=sha256:2cc55a1e9046878a4827c42b42fd20484e9c1297486bd1845be26475685d39c2

Observation 05319588-164a-42f2-b5ff-c2146597ed6e · outbound

This paper cites Menon, F.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Menon, F

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Observation 3be92d9b-a54f-44c9-9f6f-acb888155a13 · outbound

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source=pdf_text observed=2026-08-04T11:26:20.587773Z digest=sha256:5a42daf56320740422839f749ca94b3752411be8d643222339e7914e401f9a8a

Observation 1d887aed-2d75-4bca-b923-3a44bf9bb609 · outbound

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source=pdf_text observed=2026-08-04T11:26:20.689996Z digest=sha256:67fa8d983024ee8b019468b2ec67c25a55015c614b12e1ba81ca8132bcbecf5a

Observation fb89e8cf-1186-4ba6-8721-f26c3cc6af0b · outbound

This paper cites Michael.Continuous selections.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Michael.Continuous selections

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source=pdf_text observed=2026-08-04T11:26:20.807191Z digest=sha256:8d25164bb21addb590601842701edf341bf05990b0224928551c4e2f65fe67d5

Observation 520603bd-25ef-42b0-a6e0-801f9972af23 · outbound

This paper cites Monakov, S.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Monakov, S

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source=pdf_text observed=2026-08-04T11:26:20.924750Z digest=sha256:d66f8d5941b8874bff5686199b1c0d3758c40fba25389c33e7e973e1286987fb

Observation 45a79b87-6b3d-45c4-a194-d4ef15f50b55 · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:21.105452Z digest=sha256:9b6b2a94d6fefe226d59a16d3cfe9749d5309e9a5b340dca4187ceeea779e637

Observation f2974b31-fd0b-4f46-96c7-d10fa440c753 · outbound

This paper cites Murakami.Oriented and Standard Shadowing Properties for Topological Flows.Tokyo J.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Murakami.Oriented and Standard Shadowing Properties for Topological Flows.Tokyo J

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source=pdf_text observed=2026-08-04T11:26:21.225579Z digest=sha256:cd34f6238d2421c90f1731ca3dcddc799e4d43b36f6b6eea13b18cc3c3f80fb4

Observation ef8eccdc-5796-4271-b6eb-f2511192704e · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:21.374418Z digest=sha256:81b3850841daf2f307ebbb95de15e884bcbcda5c1f06644cdb901af7e842bfcf

Observation 08582a18-0053-4e2c-ab5f-a7464cff8c40 · outbound

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Generalized hyperbolicity for diffeomorphisms of Banach spaces Palis.On the local structure of hyperbolic points in Banach spaces.An

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source=pdf_text observed=2026-08-04T11:26:21.544732Z digest=sha256:5fd21ddf9a6db23d40fb1e9e8b921ea0d70bf88ada0064701c226de9386b88ae

Observation 2bc2c077-d3f3-4ff3-9a88-ed896f0c13e8 · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:21.627923Z digest=sha256:2921cd6371d764404b95f68b08169a0b9ebbb411acc989d7786e6490d8b71338

Observation 735b468f-aead-41b2-8ecc-38cea99ffd8e · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:21.748664Z digest=sha256:332d8ad670e754d594fcf3d6922df912c8429bda8e993063ccfe24156c97567f

Observation bfc14887-d950-4424-9317-2e4f0ce58f69 · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:21.820161Z digest=sha256:3b32478eac7eecdac7c7e21a8abe995daa0521a6e031d39acf3d554788672fb7

Observation a5e35c50-44b3-4648-9993-b753822585e4 · outbound

This paper cites an unresolved cited work.

Generalized hyperbolicity for diffeomorphisms of Banach spaces Unresolved cited work

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source=pdf_text observed=2026-08-04T11:26:21.953153Z digest=sha256:92613478f71ae997b6f936d9e6692e004e51bf7880b44b4efe821ec87c177eef

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