On multifractal analysis and large deviations of singular hyperbolic attractors

Nonlinearity

2023 | journal-article

Quenched and annealed equilibrium states for random Ruelle expanding maps and applications

Ergodic Theory and Dynamical Systems

2023 | journal-article

Symmetries of $$C^r$$-vector Fields on Surfaces

Bulletin of the Brazilian Mathematical Society, New Series

2023 | journal-article

Correction: A Convex Analysis Approach to Entropy Functions, Variational Principles and Equilibrium States

Communications in Mathematical Physics

2023 | journal-article

Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system

Nonlinearity

2023 | journal-article

Sensitivity and historic behavior for continuous maps on Baire metric spaces

Ergodic Theory and Dynamical Systems

2023 | journal-article

Typical properties of ergodic optimization for asymptotically additive potentials

Stochastics and Dynamics

2023 | journal-article

A Convex Analysis Approach to Entropy Functions, Variational Principles and Equilibrium States

Communications in Mathematical Physics

2022 | journal-article

Entropy inequalities for semigroup actions

Nonlinearity

2022 | journal-article

Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism

Journal of Statistical Physics

2022 | journal-article

Generic homeomorphisms have full metric mean dimension

Ergodic Theory and Dynamical Systems

2022 | journal-article

A variational principle for the metric mean dimension of free semigroup actions

Ergodic Theory and Dynamical Systems

2022 | journal-article

On C-0-centralizers of Anosov diffeomorphisms on the torus: algebraic and topological aspects

FUNDAMENTA MATHEMATICAE

2022 | journal-article

QUENCHED DECAY OF CORRELATIONS FOR NONUNIFORMLY HYPERBOLIC RANDOM MAPS WITH AN ERGODIC DRIVING SYSTEM

arXiv

2022 | other

THERMODYNAMIC FORMALISM FOR EXPANDING MEASURES

arXiv

2022 | other

Topological and metric emergence of continuous maps

arXiv

2022 | other

Genericity of historic behavior for maps and flows

Nonlinearity

2021 | journal-article

Topological aspects of incompressible flows

Journal of Differential Equations

2021 | journal-article

Thermodynamic Formalism for Random Non-uniformly Expanding Maps

Communications in Mathematical Physics

2021 | journal-article

Exponential Decay of Correlations for Gibbs Measures and Semiflows over $$C^{1+\alpha }$$ Piecewise Expanding Maps

Annales Henri Poincaré

2021 | journal-article

Volume lemmas and large deviations for partially hyperbolic endomorphisms

Ergodic Theory and Dynamical Systems

2021 | journal-article

Gluing orbit property and partial hyperbolicity

Journal of Differential Equations

2021 | journal-article

Exponential decay of correlations for Gibbs measures on attractors of axiom a flows

arXiv

2021 | other

Genericity of historic behavior for maps and flows

arXiv

2021 | other

Lyapunov non-typical behavior for linear cocycles through the lens of semigroup actions

arXiv

2021 | other

Necessary and sufficient condition for M 2-convergence to a Lévy process for billiards with cusps at flat points

Stochastics and Dynamics

2021 | journal-article

On Multifractal Analysis and Large Deviations of Singular-Hyperbolic Attractors

arXiv

2021 | other

On the rotation sets of generic homeomorphisms on the torus T^d

Ergodic Theory and Dynamical Systems

2021 | journal-article

Sensitivity and historic behavior for continuous maps on Baire metric spaces

arXiv

2021 | other

The Role of Continuity and Expansiveness on Leo and Periodic Specification Properties

Lecture Notes in Mathematics

2021 | book

The rotation sets of most volume preserving homeomorphisms on T^d are stable, convex and rational polyhedrons

Israel Journal of Mathematics

2021 | journal-article

Ergodic Optimization for Hyperbolic Flows and Lorenz Attractors

Annales Henri Poincaré

2020 | journal-article

A CONVEX ANALYSIS APPROACH TO ENTROPY FUNCTIONS, VARIATIONAL PRINCIPLES AND EQUILIBRIUM STATES

arXiv

2020 | other

BAYES POSTERIOR CONVERGENCE FOR LOSS FUNCTIONS VIA ALMOST ADDITIVE THERMODYNAMIC FORMALISM

arXiv

2020 | other

Continuous flows generate few homeomorphisms

Proceedings of the Edinburgh Mathematical Society

2020 | journal-article

Convergence to a Lévy Process in the Skorohod M1 and M2 Topologies for Nonuniformly Hyperbolic Systems, Including Billiards with Cusps

Communications in Mathematical Physics

2020 | journal-article

Leafwise shadowing property for partially hyperbolic diffeomorphisms

Dynamical Systems

2020 | journal-article

On the cohomology class of fiber-bunched cocycles on semi simple Lie groups

Revista Matematica Iberoamericana

2020 | journal-article

QUENCHED AND ANNEALED EQUILIBRIUM STATES FOR RANDOM RUELLE EXPANDING MAPS AND APPLICATIONS

arXiv

2020 | other

SRB measures for partially hyperbolic attractors of local diffeomorphisms

Ergodic Theory and Dynamical Systems

2020 | journal-article

Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems

Ergodic Theory and Dynamical Systems

2020 | journal-article

THE ROLE OF CONTINUITY AND EXPANSIVENESS ON LEO AND PERIODIC SPECIFICATION PROPERTIES

arXiv

2020 | other

Thermodynamic formalism for random non-uniformly expanding maps

arXiv

2020 | other

Stability and limit theorems for sequences of uniformly hyperbolic dynamics

Journal of Mathematical Analysis and Applications

2019 | journal-article

A criterion for the triviality of the centralizer for vector fields and applications

Journal of Differential Equations

2019 | journal-article

The gluing orbit property, uniform hyperbolicity and large deviations principles for semiflows

Journal of Differential Equations

2019 | journal-article

A criterion for the triviality of the centralizer for vector fields and applications

arXiv

2019 | other

C¹-generic sectional Axiom A flows have only trivial symmetries

Portugaliae Mathematica

2019 | journal-article

Ergodic optimization for hyperbolic flows and lorenz attractors

arXiv

2019 | other

Generic homeomorphisms have full metric mean dimension

arXiv

2019 | other

Necessary and sufficient condition for M₂-convergence to a Lévy process for billiards with cusps at flat points

arXiv

2019 | other

On the rotation sets of generic homeomorphisms on the torus Td

arXiv

2019 | other

Quantitative recurrence for free semigroup actions

Nonlinearity

2018 | journal-article

Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles

Dynamical Systems

2018 | journal-article

A variational principle for free semigroup actions

Advances in Mathematics

2018 | journal-article

Convergence to a lévy process in the skorohod M_1 and M_2 topologies for nonuniformly hyperbolic systems, including billiards with cusps

arXiv

2018 | other

Erratum to “open sets of axiom a flows with exponentially mixing attractors”

Proceedings of the American Mathematical Society

2018 | journal-article

On the periodic orbits, shadowing and strong transitivity of continuous flows

Nonlinear Analysis, Theory, Methods and Applications

2018 | journal-article

SRB measures for partially hyperbolic attractors of local diffeomorphisms

arXiv

2018 | other

The centralizer of C^r -generic diffeomorphisms at hyperbolic basic sets is trivial

Proceedings of the American Mathematical Society

2018 | journal-article

Volume lemmas for partially hyperbolic endomorphisms and applications

arXiv

2018 | other