Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Buzzi, Jérôme"'
We construct symbolic dynamics for three dimensional flows with positive speed. More precisely, for each $\chi>0$, we code a set of full measure for every invariant probability measure which is $\chi$-hyperbolic. These include all ergodic measures wi
Externí odkaz:
http://arxiv.org/abs/2307.14319
Autor:
Buzzi, Jérôme, Chandgotia, Nishant, Foreman, Matthew, Gao, Su, García-Ramos, Felipe, Gorodetski, Anton, Maitre, François Le, Rodríguez-Hertz, Federico, Sabok, Marcin
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, Canada on 2022.
Externí odkaz:
http://arxiv.org/abs/2305.00248
Recently, Burguet proved a strong form of Viana's conjecture on physical measures, in the special case of $C^\infty$ surface diffeomorphisms. We give another proof, based on our analysis of entropy and Lyapunov exponents in [BCS].
Externí odkaz:
http://arxiv.org/abs/2201.03165
We study the entropy and Lyapunov exponents of invariant measures $\mu$ for smooth surface diffeomorphisms $f$, as functions of $(f,\mu)$. The main result is an inequality relating the discontinuities of these functions. One consequence is that for a
Externí odkaz:
http://arxiv.org/abs/2103.02400
We study the one parameter family of potential functions $q\varphi^u$ associated with the geometric potential $\varphi^u$ for the geodesic flow of a compact rank 1 surface of nonpositive curvature. For $q<1$ it is known that there is a unique equilib
Externí odkaz:
http://arxiv.org/abs/2101.01823
We define a nonlinear thermodynamical formalism which translates into dynamical system theory the statistical mechanics of generalized mean-field models, extending investigation of the quadratic case by Leplaideur and Watbled. Under suitable conditio
Externí odkaz:
http://arxiv.org/abs/2002.00576
We show that time-one maps of transitive Anosov flows of compact manifolds are accumulated by diffeomorphisms robustly satisfying the following dichotomy: either all of the measures of maximal entropy are non-hyperbolic, or there are exactly two ergo
Externí odkaz:
http://arxiv.org/abs/1904.07821
Autor:
Buzzi, Jérôme, Ruette, Sylvie
Publikováno v:
Discrete Contin. Dyn. Syst. Ser. A, 14 (4), 673-688, 2006
We give a new type of sufficient condition for the existence of measures with maximal entropy for an interval map $f$, using some non-uniform hyperbolicity to compensate for a lack of smoothness of $f$. More precisely, if the topological entropy of a
Externí odkaz:
http://arxiv.org/abs/1901.01073
We show that $C^\infty$ surface diffeomorphisms with positive topological entropy have at most finitely many ergodic measures of maximal entropy in general, and at most one in the topologically transitive case. This answers a question of Newhouse, wh
Externí odkaz:
http://arxiv.org/abs/1811.02240
Autor:
Buzzi, Jerome
We show that symbolic finite-to-one extensions of the type constructed by O. Sarig for surface diffeomorphisms induce H\"older-continuous conjugacies on large sets. We deduce this from their Bowen property. This notion, introduced in a joint work wit
Externí odkaz:
http://arxiv.org/abs/1807.04017