Sensitivity and historic behavior for continuous maps on Baire metric spaces

Ergodic Theory and Dynamical Systems

2024 | journal-article

A convex analysis approach to the metric mean dimension: Limits of scaled pressures and variational principles

Advances in Mathematics

2024 | journal-article

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

Typical properties of ergodic optimization for asymptotically additive potentials

Stochastics and Dynamics

2023 | journal-article

Good inducing schemes for uniformly hyperbolic flows, and applications to exponential decay of correlations

arXiv

2023 | other

PHASE TRANSITIONS FOR SURFACE DIFFEOMORPHISMS

arXiv

2023 | other

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

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

REALIZATION OF ROTATION VECTORS FOR VOLUME PRESERVING HOMEOMORPHISMS OF THE TORUS

Topological Methods in Nonlinear Analysis

2022 | journal-article

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

The gluing orbit property and partial hyperbolicity

Journal of Differential Equations

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

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 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

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

Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases

Bulletin of the Brazilian Mathematical Society, New Series

2017 | journal-article

Topological entropy of level sets of empirical measures for non-uniformly expanding maps

Discrete and Continuous Dynamical Systems

2017 | journal-article

Topological features of flows with the reparametrized gluing orbit property

Journal of Differential Equations

2017 | journal-article

Semigroup Actions of Expanding Maps

Journal of Statistical Physics

2017 | journal-article

Generic Hamiltonian Dynamics

Journal of Dynamics and Differential Equations

2017 | journal-article

On sensitivity to initial conditions and uniqueness of conjugacies for structurally stable diffeomorphisms

Nonlinearity

2017 | journal-article

The centralizer of Komuro-expansive flows and expansive $${{\mathbb {R}}}^d$$ R d actions

Mathematische Zeitschrift

2017 | journal-article

A note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansion

Stoch. Dyn.

2016 | journal-article

Specification and thermodynamical properties of semigroup actions

J. Math. Phys.

2016 | journal-article

Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects

Ergod. Th. Dynam. Sys.

2016 | journal-article

A version of Kac’s lemma on first return times for suspension flows

Stoch. Dyn.

2016 | journal-article

Differentiability of thermodynamical quantities in non-uniformly expanding dynamics

Advances in Mathematics

2016 | journal-article

Open sets of Axiom A flows with exponentially mixing attractors

Proceedings of the American Mathematical Society

2016 | journal-article

(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms

Journal of Mathematical Analysis and Applications

2016 | journal-article

Erratum to: Robust Exponential Decay of Correlations for Singular-Flows

Commun. Math. Phys.

2015 | journal-article

Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets

Ergod. Th. Dynam. Sys.

2015 | journal-article

Multifractal analysis of the irregular set for almost-additive sequences via large deviations

Nonlinearity

2015 | journal-article

Rapid Mixing for the Lorenz Attractor and Statistical Limit Laws for Their Time-1 Maps

Commun. Math. Phys.

2015 | journal-article

Specification and partial hyperbolicity for flows

Dynamical Systems

2015 | journal-article

CONTRIBUTION TO THE ERGODIC THEORY OF ROBUSTLY TRANSITIVE MAPS

Discrete and Continuous Dynamical Systems

2015 | journal-article

Trivial and Simple Spectrum for SL(d, R) Cocycles with Free Base

2015 | journal-article

Exponential law for random subshifts of finite type

Stochastic Processes and Their Applications

2014 | journal-article

Statistical properties of generalized Viana maps

Dynamical Systems-an International Journal

2014 | journal-article

Weak specification properties and large deviations for non-additive potentials

Ergod. Th. Dynam. Sys.

2013 | journal-article

Equilibrium states for non-uniformly expanding maps: Decay of correlations and strong stability

Annales De L Institut Henri Poincare-Analyse Non Lineaire

2013 | journal-article

ENTROPY FORMULAS FOR DYNAMICAL SYSTEMS WITH MISTAKES

Discrete and Continuous Dynamical Systems

2012 | journal-article

Non-uniform Specification and Large Deviations for Weak Gibbs Measures

Journal of Statistical Physics

2012 | journal-article

Robust Exponential Decay of Correlations for Singular-Flows

Communications in Mathematical Physics

2012 | journal-article

On the Entropy of Conservative Flows

Qualitative Theory of Dynamical Systems

2011 | journal-article

Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps

Annales De L Institut Henri Poincare-Analyse Non Lineaire

2010 | journal-article

Entropy and Poincare recurrence from a geometrical viewpoint

Nonlinearity

2009 | journal-article

Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps

Journal of Statistical Physics

2008 | journal-article

Partial hyperbolicity and specification

Proceedings of the American Mathematical Society

| journal-article