Positive Exponents for Random Products of Conservative Surface Diffeomorphisms and Some Skew Products

2021 ◽  
Author(s):  
Davi Obata ◽  
Mauricio Poletti
Keyword(s):  
Skew Products ◽  
Surface Diffeomorphisms ◽  
Random Products

scholarly journals The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms

2020 ◽  
pp. 1-26
Author(s):  
SNIR BEN OVADIA
Keyword(s):  
Symbolic Dynamics ◽  
Full Measure ◽  
Probability Measures ◽  
Positive Entropy ◽  
Surface Diffeomorphisms ◽  
Srb Measures ◽  
Hyperbolic Diffeomorphisms ◽  
Set Of Points ◽  
Math Phys ◽  
Homoclinic Classes

Abstract The papers [O. M. Sarig. Symbolic dynamics for surface diffeomorphisms with positive entropy. J. Amer. Math. Soc.26(2) (2013), 341–426] and [S. Ben Ovadia. Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds. J. Mod. Dyn.13 (2018), 43–113] constructed symbolic dynamics for the restriction of $C^r$ diffeomorphisms to a set $M'$ with full measure for all sufficiently hyperbolic ergodic invariant probability measures, but the set $M'$ was not identified there. We improve the construction in a way that enables $M'$ to be identified explicitly. One application is the coding of infinite conservative measures on the homoclinic classes of Rodriguez-Hertz et al. [Uniqueness of SRB measures for transitive diffeomorphisms on surfaces. Comm. Math. Phys.306(1) (2011), 35–49].

Topological entropy of piecewise bimonotone skew products

2009 ◽  
Vol 15 (1) ◽  
pp. 53-69
Author(s):  
Franz Hofbauer ◽  
Peter Maličký ◽  
L'ubomír Snoha
Keyword(s):  
Topological Entropy ◽  
Skew Products

scholarly journals Asymptotics for self-normalized random products of sums of i.i.d. random variables

2007 ◽  
Vol 334 (2) ◽  
pp. 1246-1259 ◽  
Author(s):  
Tian-Xiao Pang ◽  
Zheng-Yan Lin ◽  
Kyo-Shin Hwang
Keyword(s):  
Random Variables ◽  
Products Of Sums ◽  
Random Products

scholarly journals Noncommuting random products

1963 ◽  
Vol 108 (3) ◽  
pp. 377-377 ◽  
Author(s):  
Harry Furstenberg
Keyword(s):  
Random Products

scholarly journals Stability of the Markov operator and synchronization of Markovian random products

Nonlinearity ◽  
2018 ◽  
Vol 31 (5) ◽  
pp. 1782-1806 ◽  
Author(s):  
Lorenzo J Díaz ◽  
Edgar Matias
Keyword(s):  
Markov Operator ◽  
Random Products
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