Weak mixing for semi-groups of markov operators without finite invariant measures

1979 ◽  
pp. 89-92
Author(s):  
Michael Lin
Keyword(s):  
Invariant Measures ◽  
Weak Mixing ◽  
Markov Operators

Refined scales of weak-mixing dynamical systems: typical behaviour

2019 ◽  
Vol 40 (12) ◽  
pp. 3296-3309
Author(s):  
SILAS L. CARVALHO ◽  
CÉSAR R. DE OLIVEIRA
Keyword(s):  
Invariant Measures ◽  
Dynamical Behaviour ◽  
Lebesgue Spaces ◽  
Weak Mixing ◽  
Axiom A ◽  
Typical Behaviour ◽  
Topologically Mixing ◽  
Continuous Measures ◽  
Basic Sets ◽  
Measure Preserving Transformations

We study sets of measure-preserving transformations on Lebesgue spaces with continuous measures taking into account extreme scales of variations of weak mixing. It is shown that the generic dynamical behaviour depends on subsequences of time going to infinity. We also present corresponding generic sets of (probability) invariant measures with respect to topological shifts over finite alphabets and Axiom A diffeomorphisms over topologically mixing basic sets.

scholarly journals The uniqueness of invariant measures for Markov operators

2008 ◽  
Vol 189 (3) ◽  
pp. 225-233 ◽  
Author(s):  
Tomasz Szarek
Keyword(s):  
Invariant Measures ◽  
Markov Operators

Iterates and Invariant Measures for Markov Operators

2021 ◽  
Vol 76 (4) ◽  
Author(s):  
Ana-Maria Acu ◽  
Ioan Rasa
Keyword(s):  
Invariant Measures ◽  
Markov Operators
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