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Non Uniform Hyperbolicity in Global Dynamics

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Publications

Mildly dissipative diffeomorphisms of the disk with zero entropy

Author(s): Crovisier, Sylvain; Pujals, Enrique; Tresser, Charles
Published in: 1, 2020
Publisher: P

A new example of robustly transitive diffeomorphism

Author(s): Carrasco, Pablo D.; Obata, Davi
Published in: 1, 2019
Publisher: P

Uniqueness of the measure of maximal entropy for the standard map

Author(s): Obata, Davi
Published in: 1, 2020
Publisher: P

Symplectomorphisms with positive metric entropy

Author(s): Avila, Artur; Crovisier, Sylvain; Wilkinson, Amie
Published in: https://hal.archives-ouvertes.fr/hal-02367523, 1, 2019
Publisher: P

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

Author(s): Avila, Artur; Khanin, Konstantin; Leguil, Martin
Published in: Pure and Applied Functional Analysis, 1, 2021
Publisher: P

Measures of maximal entropy for surface diffeomorphisms

Author(s): Buzzi, Jerome; Crovisier, Sylvain; Sarig, Omri
Published in: https://hal.archives-ouvertes.fr/hal-02367519, 1, 2019
Publisher: P

Symmetries of vector fields: the diffeomorphism centralizer

Author(s): Obata, Davi
Published in: 1, 2019
Publisher: P

New examples of stably ergodic diffeomorphisms in dimension 3

Author(s): Gabriel Nuñez, Davi Obata, Jana Rodriguez-Hertz
Published in: 2020
Publisher: P

Random product of quasi-periodic cocycles

Author(s): Bezerra, Jamerson; Poletti, Mauricio
Published in: 1, 2019
Publisher: P

Homoclinic tangencies and singular hyperbolicity for three-dimensional vector fields

Author(s): Crovisier, Sylvain; Yang, Dawei
Published in: Math. Z., 1, 2021
Publisher: Springer

On the genericity of positive exponents of conservative skew products with two-dimensional fibers

Author(s): Obata, Davi; Poletti, Mauricio
Published in: 1, 2018
Publisher: P

Symbolic dynamics for nonuniformly hyperbolic maps with singularities in high dimension

Author(s): Araujo, Ermerson; Lima, Yuri; Poletti, Mauricio
Published in: 1, 2020
Publisher: P

Nonlinear thermodynamicalformalism

Author(s): Buzzi, Jérôme; Leplaideur, Renaud
Published in: 1, 2020
Publisher: P

Ergodic Measures with Multi-zero Lyapunov Exponents Inside Homoclinic Classes

Author(s): Xiaodong Wang, Jinhua Zhang
Published in: Journal of Dynamics and Differential Equations, 32/2, 2020, Page(s) 631-664, ISSN 1040-7294
Publisher: Plenum Publishers
DOI: 10.1007/s10884-019-09752-3

Finiteness of partially hyperbolic attractors with one-dimensional center

Author(s): Sylvain CROVISIER, Rafael POTRIE, Martín SAMBARINO
Published in: Annales scientifiques de l'École normale supérieure, 53/3, 2020, Page(s) 559-588, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2428

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

Author(s): Sylvain Crovisier, Adriana da Luz, Dawei Yang, Jinhua Zhang
Published in: Science China Mathematics, 63/9, 2020, Page(s) 1721-1744, ISSN 1674-7283
Publisher: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-019-1764-x

Empirical Measures of Partially Hyperbolic Attractors

Author(s): Sylvain Crovisier, Dawei Yang, Jinhua Zhang
Published in: Communications in Mathematical Physics, 375/1, 2020, Page(s) 725-764, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03668-1

Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center

Author(s): Christian Bonatti, Jinhua Zhang
Published in: Science China Mathematics, 63/9, 2020, Page(s) 1647-1670, ISSN 1674-7283
Publisher: Zhongguo Kexue Zazhishe/Science in China Press
DOI: 10.1007/s11425-019-1751-2

Robust transitivity of singular hyperbolic attractors

Author(s): Sylvain Crovisier, Dawei Yang
Published in: Mathematische Zeitschrift, 2021, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02618-1

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

Author(s): Martin Leguil, Davi Obata, Bruno Santiago
Published in: Mathematische Zeitschrift, 297/1-2, 2021, Page(s) 283-337, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02511-x

Local perturbations of conservative C 1 diffeomorphisms

Author(s): Jérôme Buzzi, Sylvain Crovisier, Todd Fisher
Published in: Nonlinearity, 30/9, 2017, Page(s) 3613-3636, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aa803f

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

Author(s): Jérôme Buzzi, Sylvain Crovisier, Todd Fisher
Published in: Transactions of the American Mathematical Society, 370/9, 2018, Page(s) 6685-6734, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7380

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

Author(s): Dawei Yang, Jinhua Zhang
Published in: Journal of the Institute of Mathematics of Jussieu, 2019, Page(s) 1-28, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/s1474748018000579

On the stable ergodicity of diffeomorphisms with dominated splitting

Author(s): Davi Obata
Published in: Nonlinearity, 32/2, 2019, Page(s) 445-463, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aaea93

Projective transformations of rotation sets

Author(s): François Béguin, Sylvain Crovisier, Frédéric Le Roux
Published in: Nonlinearity, 32/4, 2019, Page(s) 1237-1241, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aafcde

Strongly dissipative surface diffeomorphisms

Author(s): Sylvain Crovisier, Enrique Pujals
Published in: Commentarii Mathematici Helvetici, 93/2, 2018, Page(s) 377-400, ISSN 0010-2571
Publisher: Birkhauser Verlag
DOI: 10.4171/cmh/438

Entropy rigidity for 3D conservative Anosov flows and dispersing billiards

Author(s): Jacopo De Simoi, Martin Leguil, Kurt Vinhage, Yun Yang
Published in: Geometric and Functional Analysis, 30/5, 2020, Page(s) 1337-1369, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-020-00547-z

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

Author(s): Dawei Yang, Jinhua Zhang
Published in: Journal of the Institute of Mathematics of Jussieu, 19/5, 2020, Page(s) 1765-1792, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/s1474748018000579

Stable ergodicity and physical measures for weakly hyperbolic dynamical systems

Author(s): Obata, Davi dos Anjos
Published in: https://tel.archives-ouvertes.fr/tel-02457102, 1, 2019
Publisher: Univ. Paris-Sud