Non Uniform Hyperbolicity in Global Dynamics

Mildly dissipative diffeomorphisms of the disk with zero entropy

Autores: Crovisier, Sylvain; Pujals, Enrique; Tresser, Charles
Publicado en: Acta Mathematica (to appear), 2020
Editor: P

Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows

Autores: Jerome Buzzi, Sylvain Crovisier, Yuri Lima
Publicado en: 2023
Editor: ArXiv

Ergodic properties of multi-singular hyperbolic vector fields

Autores: Sylvain Crovisier, Xiaodong Wang, Dawei Yang, Jinhua Zhang
Publicado en: 2023
Editor: ArXiv

Doubly Intermittent Full Branch Maps with Critical Points and Singularities

Autores: Douglas Coates, Stefano Luzzatto, Muhammad Mubarak
Publicado en: 2022
Editor: ArXiv

Diffusion rate in non-generic directions in the wind-tree model

Autores: Sylvain Crovisier, Pascal Hubert, Erwan Lanneau, Angel Pardo
Publicado en: 2023
Editor: ArXiv

Random product of quasi-periodic cocycles

Autores: Bezerra, Jamerson; Poletti, Mauricio
Publicado en: Proc. Amer. Math. Soc., 2021, Página(s) 2927--2942
Editor: P
DOI: 10.1090/proc/15428

Accessibility for dynamically coherent partially hyperbolic diffeomorphisms with 2D center

Autores: Martin Leguil, Luis Pedro Pineyrua
Publicado en: 2022
Editor: ArXiv

Homoclinic tangencies and singular hyperbolicity for three-dimensional vector fields

Autores: Crovisier, Sylvain; Yang, Dawei
Publicado en: Arxiv, 2021
Editor: ArXiv
DOI: 10.48550/arXiv.1702.05994

Regularity of conjugacies of linearizable generalized interval exchange transformations

Autores: Selim Ghazouani, Corinna Ulcigrai
Publicado en: 2023
Editor: ArXiv

Persistent Non-Statistical Dynamics in One-Dimensional Maps

Autores: Douglas Coates, Stefano Luzzatto
Publicado en: 2023
Editor: ArXiv

Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension

Autores: Araujo, Ermerson; Lima, Yuri; Poletti, Mauricio
Publicado en: Memoirs of the American Mathematical Society (to appear), 2020
Editor: P

Nonlinear thermodynamicalformalism

Autores: Buzzi, Jérôme; Leplaideur, Renaud
Publicado en: Annales Henri Lebesgue (to appear), 2020
Editor: P

Rigidity of u-gibbs measures near conservative Anosov diffeomorphisms on T3

Autores: Sebastien Alvarez ; Martin Leguil ; Davi Obata ; Bruno Santiago
Publicado en: 2022
Editor: ArXiv

Closed geodesics in dilation surfaces

Autores: Adrien Boulanger, Selim Ghazouani, Guillaume Tahar
Publicado en: 2021
Editor: ArXiv

Uniqueness of u-Gibbs measures for hyperbolic skew products on T4

Autores: Sylvain Crovisier, Davi Obata, Mauricio Poletti
Publicado en: 2022
Editor: ArXiv

Ergodic Measures with Multi-zero Lyapunov Exponents Inside Homoclinic Classes

Autores: Xiaodong Wang, Jinhua Zhang
Publicado en: Journal of Dynamics and Differential Equations, Edición 32/2, 2020, Página(s) 631-664, ISSN 1040-7294
Editor: Plenum Publishers
DOI: 10.1007/s10884-019-09752-3

A new example of robustly transitive diffeomorphism

Autores: Carrasco, Pablo D.; Obata, Davi
Publicado en: Math. Res. Lett., Edición 28, 2019, ISSN 1073-2780
Editor: Mathematical Publishing
DOI: 10.4310/mrl.2021.v28.n3.a2

Uniqueness of the measure of maximal entropy for the standard map

Autores: Obata, Davi
Publicado en: Comment. Math. Helv., Edición 96, 2020, ISSN 0010-2571
Editor: Birkhauser Verlag
DOI: 10.4171/cmh/508

Symplectomorphisms with positive metric entropy

Autores: Avila, Artur; Crovisier, Sylvain; Wilkinson, Amie
Publicado en: Proc. Lond. Math. Soc., Edición 124, 2019, ISSN 0024-6115
Editor: Oxford University Press
DOI: 10.1112/plms.12437

"Invariant graphs and spectral type of Schr\""odinger operators"

Autores: Avila, Artur; Khanin, Konstantin; Leguil, Martin
Publicado en: Pure and Applied Functional Analysis, Edición 5, 2021, ISSN 2189-3756
Editor: Yokohama Publishers

Open sets of partially hyperbolic skew products having a unique SRB measure

Autores: Davi Obata
Publicado en: Advances in Mathematics, Edición 427, 2021, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2023.109136

Finiteness of partially hyperbolic attractors with one-dimensional center

Autores: Sylvain CROVISIER, Rafael POTRIE, Martín SAMBARINO
Publicado en: Annales scientifiques de l'École normale supérieure, Edición 53/3, 2020, Página(s) 559-588, ISSN 0012-9593
Editor: Elsevier BV
DOI: 10.24033/asens.2428

On the notions of singular domination and (multi-)singular hyperbolicity

Autores: Sylvain Crovisier, Adriana da Luz, Dawei Yang, Jinhua Zhang
Publicado en: Science China Mathematics, Edición 63/9, 2020, Página(s) 1721-1744, ISSN 1674-7283
Editor: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-019-1764-x

Empirical Measures of Partially Hyperbolic Attractors

Autores: Sylvain Crovisier, Dawei Yang, Jinhua Zhang
Publicado en: Communications in Mathematical Physics, Edición 375/1, 2020, Página(s) 725-764, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-019-03668-1

Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center

Autores: Christian Bonatti, Jinhua Zhang
Publicado en: Science China Mathematics, Edición 63/9, 2020, Página(s) 1647-1670, ISSN 1674-7283
Editor: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-019-1751-2

Germ-typicality of the coexistence of infinitely many sinks

Autores: Pierre Berger, Sylvain Crovisier, Enrique Pujals
Publicado en: Advances in Mathematics, Edición 407, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2022.108528

Positive exponents for random products of conservative surface diffeomorphisms and some skew products

Autores: Davi Obata, Mauricio Poletti
Publicado en: J. Dynam. Differential Equations, Edición 34, 2022, ISSN 1040-7294
Editor: Plenum Publishers
DOI: 10.1007/s10884-021-10052-y

On the existence of SRB measures for C∞ surface diffeomorphisms

Autores: Jérôme Buzzi, Sylvain Crovisier, Omri Sarig
Publicado en: International Mathematics Research Notices, Edición 2023/24, 2022, Página(s) 20812–20826, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnac275

Measures of maximal entropy for surface diffeomorphisms

Autores: Buzzi, Jerome; Crovisier, Sylvain; Sarig, Omri
Publicado en: Annals of Mathematics, Edición 195, 2019, ISSN 0003-486X
Editor: Princeton University Press
DOI: 10.4007/annals.2022.195.2.2

Cr-prevalence of stable ergodicity for a class of partially hyperbolic systems

Autores: Martin Leguil ; Zhiyuan Zhang
Publicado en: J. Eur. Math. Soc., Edición 24, 2022, ISSN 1435-9855
Editor: European Mathematical Society Publishing House
DOI: 10.4171/jems/1163

Uniqueness of minimal unstable lamination for discretized Anosov flows

Autores: Nancy Guelman, Santiago Martinchich
Publicado en: Mathematische Zeitschrift, Edición 300, 2022, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-021-02827-2

Robust transitivity of singular hyperbolic attractors

Autores: Sylvain Crovisier, Dawei Yang
Publicado en: Mathematische Zeitschrift, 2021, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-020-02618-1

Local perturbations of conservative C1 diffeomorphisms

Autores: Jérôme Buzzi, Sylvain Crovisier, Todd Fisher
Publicado en: Nonlinearity, Edición 30/9, 2017, Página(s) 3613-3636, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aa803f

Global stability of discretized Anosov flows

Autores: Santiago Martinchich
Publicado en: Journal of Modern Dynamics, Edición 19, 2023, ISSN 1930-5311
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2023016

On the centralizer of vector fields: criteria of triviality and genericity results

Autores: Martin Leguil, Davi Obata, Bruno Santiago
Publicado en: Mathematische Zeitschrift, Edición 297/1-2, 2021, Página(s) 283-337, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-020-02511-x

Symmetries of vector fields: the diffeomorphism centralizer

Autores: Obata, Davi
Publicado en: Discrete Contin. Dyn. Syst., Edición 41, 2019, ISSN 1078-0947
Editor: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2021063

C1 density of stable ergodicity

Autores: Artur Avila ; Sylvain Crovisier ; Amie Wilkinson
Publicado en: Advances in Math., Edición 379, 2021, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2020.107496

New examples of stably ergodic diffeomorphisms in dimension 3

Autores: Gabriel Nuñez, Davi Obata, Jana Rodriguez-Hertz
Publicado en: Nonlinearity, Edición 34, 2020, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abbab3

The entropy of $C^1$-diffeomorphisms without a dominated splitting

Autores: Jérôme Buzzi, Sylvain Crovisier, Todd Fisher
Publicado en: Transactions of the American Mathematical Society, Edición 370/9, 2018, Página(s) 6685-6734, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/7380

NON-HYPERBOLIC ERGODIC MEASURES AND HORSESHOES IN PARTIALLY HYPERBOLIC HOMOCLINIC CLASSES

Autores: Dawei Yang, Jinhua Zhang
Publicado en: Journal of the Institute of Mathematics of Jussieu, 2019, Página(s) 1-28, ISSN 1474-7480
Editor: Cambridge University Press
DOI: 10.1017/s1474748018000579

On the stable ergodicity of diffeomorphisms with dominated splitting

Autores: Davi Obata
Publicado en: Nonlinearity, Edición 32/2, 2019, Página(s) 445-463, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaea93

Projective transformations of rotation sets

Autores: François Béguin, Sylvain Crovisier, Frédéric Le Roux
Publicado en: Nonlinearity, Edición 32/4, 2019, Página(s) 1237-1241, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aafcde

Strongly dissipative surface diffeomorphisms

Autores: Sylvain Crovisier, Enrique Pujals
Publicado en: Commentarii Mathematici Helvetici, Edición 93/2, 2018, Página(s) 377-400, ISSN 0010-2571
Editor: Birkhauser Verlag
DOI: 10.4171/cmh/438

Entropy rigidity for 3D conservative Anosov flows and dispersing billiards

Autores: Jacopo De Simoi, Martin Leguil, Kurt Vinhage, Yun Yang
Publicado en: Geometric and Functional Analysis, Edición 30/5, 2020, Página(s) 1337-1369, ISSN 1016-443X
Editor: Birkhauser Verlag
DOI: 10.1007/s00039-020-00547-z

A priori bounds for GIETs, affine shadows and rigidity of foliations in genus 2

Autores: Selim Ghazouani, Corinna Ulcigrai
Publicado en: Publ. Math. Inst. Hautes Études Sci., Edición 138, 2023, Página(s) 229–366, ISSN 0073-8301
Editor: Springer Verlag
DOI: 10.1007/s10240-023-00142-6

Partially hyperbolic diffeomorphisms with one-dimensional neutral center on 3-manifolds

Autores: Jinhua Zhang
Publicado en: Journal of Modern Dynamics, Edición 17, 2021, ISSN 1930-5311
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/jmd.2021019

Continuity properties of Lyapunov exponents for surface diffeomorphisms

Autores: Jerome Buzzi ; Sylvain Crovisier ; Omri Sarig
Publicado en: Inventiones Mathematicae, Edición 230, 2022, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.1007/s00222-022-01132-x

On the Stable Ergodicity of Berger-Carrasco's example

Autores: Obata, Davi
Publicado en: Ergodic Theory and Dynamical Systems, Edición 1, 2020, ISSN 0143-3857
Editor: Cambridge University Press

Stable ergodicity and physical measures for weakly hyperbolic dynamical systems

Autores: Obata, Davi dos Anjos
Publicado en: https://tel.archives-ouvertes.fr/tel-02457102, Edición 1, 2019
Editor: Univ. Paris-Sud

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