Random Dynamical Systems

The book explores the intersection of probability theory and dynamical systems, focusing on random dynamical systems that blend measure-preserving dynamics with smooth or topological systems. It outlines the historical context and developments in this field, emphasizing the emergence of new research opportunities and problems that arise from their combination. By examining systems that incorporate invariant measures, the work delves into the implications of ergodic theory within these frameworks, presenting a comprehensive study of this evolving area of mathematics.