Invariant densities and mean ergodicity of markov operators

2003 ◽  
Vol 136 (1) ◽  
pp. 373-379 ◽  
Author(s):  
Eduard Yu. Emel’yanov
2013 ◽  
Vol 34 (5) ◽  
pp. 1674-1698 ◽  
Author(s):  
MARCO SCHREIBER

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.


Author(s):  
Carlo Pandiscia

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.


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