Samuel Senti
Federal University of Rio de Janeiro
Journal of Modern Dynamics | 2008
Yakov Pesin; Samuel Senti
We introducea class of continuousmaps f of a compact topologi- cal space I admitting inducing schemes and describe the tower constructions associated with them. We then establish a thermodynamicformalism, i.e., de- scribe a class of real-valued potential functions ϕ on I, which admit a unique equilibrium measure ¹ ϕ minimizing the free energy for a certain class of in- variant measures. We also describe ergodic properties of equilibrium mea- sures, including decay of correlation and the Central Limit Theorem. Our re- sults apply to certain maps of the interval with critical points and/or singular- ities (including some unimodal and multimodal maps) and to potential func- tions ϕt =−t log|d f | with t ∈(t0,t1) for some t0 < 1< t1. In theparticularcase of S-unimodal maps we show that one can choose t0 < 0 and that the class of measures under consideration consists of all invariant Borel probability mea- sures.
Transactions of the American Mathematical Society | 2016
Yakov Pesin; Samuel Senti; Ke Zhang
We introduce a class of continuous maps
Ergodic Theory and Dynamical Systems | 2008
Yakov Pesin; Samuel Senti; Ke Zhang
f
Nonlinearity | 2013
Samuel Senti; Hiroki Takahasi
of a compact topological space
Ergodic Theory and Dynamical Systems | 2017
Yakov Pesin; Samuel Senti; Ke Zhang
X
Nonlinearity | 2017
Manfred Denker; Samuel Senti; Xuan Zhang
admitting inducing schemes of hyperbolic type and describe the associated tower constructions. We then establish a thermodynamic formalism, i.e., we describe a class of real-valued potential functions
arXiv: Dynamical Systems | 2005
Yakov Pesin; Samuel Senti
\varphi
Ergodic Theory and Dynamical Systems | 2016
Samuel Senti; Hiroki Takahasi
on
Bulletin de la Société Mathématique de France | 2003
Samuel Senti
X
arXiv: Dynamical Systems | 2005
Alexander Arbieto; Carlos Matheus; Samuel Senti
such that
