Invariant Probabilities of Transition Functions

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Focusing on the structure of invariant probabilities related to transition functions, this book explores significant findings in ergodic theory and dynamical systems, with implications for fields like number theory. It presents new proofs and extends previously published results on transition probabilities to transition functions. The concepts are illustrated through various mathematical frameworks, including flows and convolution semigroups of probability measures, making it a valuable resource for researchers in these areas.