43 citations · 89 across the 31 of their papers we have counts for
34 papers
Margulis Measures on Expanding Foliations: Construction and Rigidity
Jérôme Buzzi, Yi Shi, Fan Yang +1
Given a diffeomorphism preserving a one-dimensional expanding foliation with homogeneous exponential growth, we construct a family of reference measures on each leaf o…
Discontinuity of Lyapunov exponents vs Entropy for smooth surface diffeomorphisms
Jérôme Buzzi
Lyapunov exponents are fundamental invariants in smooth ergodic theory describing the asymptotic infinitesimal behavior along typical orbits. This text aims to explain how and why…
Chaos on surfaces and beyond: a new notion of dynamical hyperbolicity
Jérôme Buzzi
We present some developments in the study of chaotic dynamics following the solution of a conjecture of Newhouse on the measures maximizing the entropy of smooth surface diffeomorp…
Continuity properties of ergodic measures of maximal entropy for surface diffeomorphisms
Jérôme Buzzi, Chiyi Luo, Dawei Yang
Let be a surface diffeomorphism with large entropy (more precisely, ). Then the number of ergodic measures of maximal entropy is upper sem…
Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows
Jérôme Buzzi, Sylvain Crovisier, Yuri Lima
We construct symbolic dynamics for three dimensional flows with positive speed. More precisely, for each , we code a set of full measure for every invariant probability measur…
Open questions in descriptive set theory and dynamical systems
Jérôme Buzzi, Nishant Chandgotia, Matthew Foreman +6
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff,…