Invariant densities and mean ergodicity of markov operators

2003 ◽  
Vol 136 (1) ◽  
pp. 373-379 ◽  
Author(s):  
Eduard Yu. Emel’yanov
Keyword(s):  
Markov Operators ◽  
Mean Ergodicity ◽  
Invariant Densities

scholarly journals Topological Wiener–Wintner theorems for amenable operator semigroups

2013 ◽  
Vol 34 (5) ◽  
pp. 1674-1698 ◽  
Author(s):  
MARCO SCHREIBER
Keyword(s):  
Compact Group ◽  
Skew Product ◽  
Operator Semigroups ◽  
Group Extensions ◽  
Markov Operators ◽  
Mean Ergodicity ◽  
The Mean ◽  
Amenable Semigroups

AbstractInspired by topological Wiener–Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets. The results are then used to characterize mean ergodicity of Koopman semigroups corresponding to skew product actions on compact group extensions.

Factorization of an adjontable Markov operator

2019 ◽  
Vol 22 (02) ◽  
pp. 1950013
Author(s):  
Carlo Pandiscia
Keyword(s):  
Hilbert Space ◽  
Matrix Algebra ◽  
Unitary Operator ◽  
Markov Operator ◽  
Factorization Property ◽  
Markov Operators ◽  
Dilation Theory ◽  
Probability Spaces

In this work, we propose a method to investigate the factorization property of a adjontable Markov operator between two algebraic probability spaces without using the dilation theory. Assuming the existence of an anti-unitary operator on Hilbert space related to Stinespring representations of our Markov operator, which satisfy some particular modular relations, we prove that it admits a factorization. The method is tested on the two typologies of maps which we know admits a factorization, the Markov operators between commutative probability spaces and adjontable homomorphism. Subsequently, we apply these methods to particular adjontable Markov operator between matrix algebra which fixes the diagonal.

scholarly journals Invariant densities and escape rates: Rigorous and computable approximations in the -norm

2011 ◽  
Vol 74 (13) ◽  
pp. 4481-4495 ◽  
Author(s):  
Wael Bahsoun ◽  
Christopher Bose
Keyword(s):  
Invariant Densities
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