Invariant Probabilities of Transition Functions

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Focusing on the structure of invariant probabilities within transition functions, this book delves into significant topics in ergodic theory and dynamical systems. It extends previous results published by the author between 2004 and 2008, applying them to transition functions with new proofs. The findings are illustrated through various examples, including flows and one-parameter convolution semigroups of probability measures, showcasing their relevance to other fields like number theory.