Multifractal formalism for Lyapunov exponents of fiber-bunched linear cocycles

To appear in Annali della Scuola Normale Superiore di Pisa

2026 | journal-article

Abundance of periodic orbits for typical impulsive semiflows

Journal of Differential Equations

2025 | journal-article

Variational principles for finitely generated pseudogroup actions

Groups, Geometry, and Dynamics

2025 | journal-article

EXPONENTIAL DECAY OF CORRELATIONS FOR GIBBS MEASURES ON ATTRACTORS OF AXIOM A FLOWS

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

2025 | journal-article

Entropy functions for semigroup actions

STUDIA MATHEMATICA

2025 | journal-article

Good Inducing Schemes for Uniformly Hyperbolic Flows, and Applications to Exponential Decay of Correlations

ANNALES HENRI POINCARE

2025 | journal-article

Shape and stability of rotation sets for incompressible flows on the torus

ISRAEL JOURNAL OF MATHEMATICS

2025 | journal-article

Statistical properties of equilibrium states for fiber-bunched matrix cocycles and applications

Arxiv

2025 | journal-article

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

ADVANCES IN MATHEMATICS

2024 | journal-article

Discrete symmetries of smooth flows and their time-t maps

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2024 | journal-article

Length averages for codimension one foliations

Arxiv

2024 | journal-article

Phase Transitions for Surface Diffeomorphisms

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

2024 | journal-article

Regularity of the Hausdorff dimension of some hyperbolic systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2024 | journal-article

Sensitivity and historic behavior for continuous maps on Baire metric spaces

ERGODIC THEORY AND DYNAMICAL SYSTEMS

2024 | journal-article

Shift operators and their classification

Arxiv

2024 | journal-article

Topological and metric emergence of continuous maps

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

2024 | journal-article

A Convex Analysis Approach to Entropy Functions, Variational Principles and Equilibrium States (vol 394, pg 215, 2022)

COMMUNICATIONS IN MATHEMATICAL PHYSICS

2023 | 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

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

NONLINEARITY

2023 | journal-article

Symmetries of C^r-vector Fields on Surfaces

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

2023 | journal-article

Thermodynamic formalism for expanding measures

Arxiv

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

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

ERGODIC THEORY AND DYNAMICAL SYSTEMS

2022 | journal-article

Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism

JOURNAL OF STATISTICAL 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

On C⁰-centralizers of Anosov diffeomorphisms on the torus: algebraic and topological aspects

FUNDAMENTA MATHEMATICAE

2022 | journal-article

REALIZATION OF ROTATION VECTORS FOR VOLUME PRESERVING HOMEOMORPHISMS OF THE TORUS

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS

2022 | journal-article

The gluing orbit property and partial hyperbolicity

Journal of Differential Equations

2021 | journal-article

Exponential Decay of Correlations for Gibbs Measures and Semiflows over C^1+α Piecewise Expanding Maps

ANNALES HENRI POINCARE

2021 | journal-article

Genericity of historic behavior for maps and flows

NONLINEARITY

2021 | journal-article

Gluing orbit property and partial hyperbolicity

JOURNAL OF DIFFERENTIAL EQUATIONS

2021 | journal-article

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

arXiv

2021 | other

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

STOCHASTICS AND DYNAMICS

2021 | journal-article

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

ERGODIC THEORY AND DYNAMICAL SYSTEMS

2021 | journal-article

THE ROTATION SETS OF MOST VOLUME PRESERVING HOMEOMORPHISMS ON T^d ARE STABLE, CONVEX AND RATIONAL POLYHEDRONS

ISRAEL JOURNAL OF MATHEMATICS

2021 | journal-article

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

THERMODYNAMIC FORMALISM

2021 | journal-article

Topological aspects of incompressible flows

JOURNAL OF DIFFERENTIAL EQUATIONS

2021 | journal-article

Volume lemmas and large deviations for partially hyperbolic endomorphisms

ERGODIC THEORY AND DYNAMICAL SYSTEMS

2021 | journal-article

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

Revista Matemática Iberoamericana

2020 | journal-article

CONTINUOUS FLOWS GENERATE FEW HOMEOMORPHISMS

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

2020 | journal-article

Convergence to a L\'evy process in the Skorohod $M_1$ and $M_2$ topologies for nonuniformly hyperbolic systems, including billiards with cusps

Arxiv

2020 | journal-article

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

COMMUNICATIONS IN MATHEMATICAL PHYSICS

2020 | journal-article

Ergodic Optimization for Hyperbolic Flows and Lorenz Attractors

ANNALES HENRI POINCARE

2020 | journal-article

Leafwise shadowing property for partially hyperbolic diffeomorphisms

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL

2020 | journal-article

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

$C^1$-generic sectional Axiom A flows have only trivial symmetries

Portugaliae Mathematica

2019 | journal-article

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

JOURNAL OF DIFFERENTIAL EQUATIONS

2019 | journal-article

Necessary and sufficient condition for $\cM_2$-convergence to a L\'evy process for billiards with cusps at flat points

Arxiv

2019 | journal-article

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

Stability and limit theorems for sequences of uniformly hyperbolic dynamics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2019 | journal-article

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

JOURNAL OF DIFFERENTIAL EQUATIONS

2019 | 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

OPEN SETS OF AXIOM A FLOWS WITH EXPONENTIALLY MIXING ATTRACTORS (vol 144, pg 2971, 2016)

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2018 | journal-article

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

NONLINEARITY

2018 | journal-article

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

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

2018 | journal-article

Open sets of Axiom A flows with Exponentially Mixing Attractors (with Erratum)

Arxiv

2018 | journal-article

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

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

2018 | journal-article

Quantitative recurrence for free semigroup actions

NONLINEARITY

2018 | journal-article

THE CENTRALIZER OF C^r-GENERIC DIFFEOMORPHISMS AT HYPERBOLIC BASIC SETS IS TRIVIAL

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2018 | journal-article

The centralizer of Komuro-expansive flows and expansive actions

MATHEMATISCHE ZEITSCHRIFT

2018 | journal-article

Volume lemmas for partially hyperbolic endomorphisms and applications

Arxiv

2018 | journal-article

Positive Lyapunov exponents for symplectic cocycles

Arxiv

2017 | journal-article

Semigroup Actions of Expanding Maps

JOURNAL OF STATISTICAL PHYSICS

2017 | journal-article

TOPOLOGICAL ENTROPY OF LEVEL SETS OF EMPIRICAL MEASURES FOR NON-UNIFORMLY EXPANDING MAPS

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

2017 | journal-article

The centralizer of Komuro-expansive flows and expansive R^d-actions

Arxiv

2017 | journal-article

Topological features of flows with the reparametrized gluing orbit property

JOURNAL OF DIFFERENTIAL EQUATIONS

2017 | journal-article

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

ERGODIC THEORY AND DYNAMICAL SYSTEMS

2017 | journal-article

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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

2016 | journal-article

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

Arxiv

2016 | journal-article

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

STOCHASTICS AND DYNAMICS

2016 | journal-article

Differentiability of thermodynamical quantities in non-uniformly expanding dynamics

Arxiv

2016 | journal-article

OPEN SETS OF AXIOM A FLOWS WITH EXPONENTIALLY MIXING ATTRACTORS

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

2016 | journal-article

Robust Exponential Decay of Correlations for Singular-Flows (vol 311, pg 215, 2012)

COMMUNICATIONS IN MATHEMATICAL PHYSICS

2016 | journal-article

Specification and thermodynamical properties of semigroup actions

JOURNAL OF MATHEMATICAL PHYSICS

2016 | journal-article

Specification properties and thermodynamical properties of semigroup actions

Arxiv

2016 | journal-article

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

Arxiv

2016 | journal-article

Uniform hyperbolicity revisited: Index of periodic points and equidimensional cycles

Arxiv

2016 | journal-article

Unique SRB measures and transitivity for Anosov diffeomorphisms

Arxiv

2016 | journal-article

CONTRIBUTION TO THE ERGODIC THEORY OF ROBUSTLY TRANSITIVE MAPS

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

2015 | journal-article

Generic Hamiltonian Dynamics

Arxiv

2015 | journal-article

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

Arxiv

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

COMMUNICATIONS IN MATHEMATICAL PHYSICS

2015 | journal-article

Robust exponential decay of correlations for singular-flows

Arxiv

2015 | journal-article

Specification and partial hyperbolicity for flows

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL

2015 | journal-article

Trivial and Simple Spectrum for SL(d, R) cocycles with Free Base and Fiber Dynamics

ACTA MATHEMATICA SINICA-ENGLISH SERIES

2015 | journal-article

Weak specification properties and large deviations for non-additive potentials

ERGODIC THEORY AND DYNAMICAL SYSTEMS

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

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

Annales de l'Institut Henri Poincaré C, Analyse non linéaire

2013 | journal-article

Statistical properties of generalized-Viana maps

Arxiv

2013 | journal-article

Trivial and simple spectrum for SL(2,R) cocycles with free base and fiber dynamics

Arxiv

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

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 Poincaré C, Analyse non linéaire

2010 | journal-article

Entropy and Poincar\'e recurrence from a geometrical viewpoint

Arxiv

2009 | 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

Correlation decay and recurrence estimates for some robust nonuniformly hyperbolic maps

Arxiv

2008 | journal-article

Partial hyperbolicity and specification

Proceedings of the American Mathematical Society

| journal-article