Invariant Probabilities of Transition Functions

• Main Author: Zaharopol, Radu (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Probability and Its Applications,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Measure theory.; Operator theory.; Potential theory (Mathematics).; Probabilities.; Operator Theory.; Dynamical Systems and Ergodic Theory.; Probability Theory and Stochastic Processes.; Potential Theory.; Measure and Integration.

The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in...

Table of Contents:

• Introduction
• 1.Transition Probabilities
• 2.Transition Functions
• 3.Vector Integrals and A.E. Convergence
• 4.Special Topics
• 5.The KBBY Ergodic Decomposition, Part I
• 6.The KBBY Ergodic Decomposition, Part II
• 7.Feller Transition Functions
• Appendices: A.Semiflows and Flows: Introduction
• B.Measures and Convolutions
• Bibliography
• Index.