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BOWEN’S ENTROPY-CONJUGACY CONJECTURE IS TRUE UP TO FINITE INDEX
BOWEN’S ENTROPY CONJUGACY CONJECTURE FINITE INDEX
2015/9/29
For a topological dynamical system (X, f), consisting of a continuous map f : X → X, and a (not necessarily compact) set Z ⊂ X, Bowen [2] defined a dimension-like version of entropy,hX(f, Z). In...
Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
Residually nilpotent group entropy of automorphisms of groups pseudo-Anosov dilatation
2011/9/15
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...
Computing the topological entropy of unimodal maps
Topological entropy interval maps symbolic dynamics
2011/3/2
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm
is obtained by t...
It is shown, non–rigorously, that the effective action on Z q– factored odd spheres (lunes) has a vanishing derivative at q = 1. This leaves the effective action on the ordinary sphere as (minus) the ...
An improved upper bound on the Entropy Production for the Kac Master equation
Entropy Production Villani’s Conjecture
2010/12/8
In this paper we take an idea presented in recent paper by Carlen, Carvalho,Le Roux, Loss, and Villani ([3]) and push it one step forward to find an exact estimation on the entropy production. The new...