Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems. I will briefly outline the background of the book, thus placing it in a systematic and historical context and tradition. Roughly speaking, a random dynamical system is a combination of a measure-preserving dynamical system in the sense of ergodic theory, (D, F, lP', (B(t))tE'lf), 'II'= JR+, IR, z+, Z, with a smooth (or topological) dy- namical system, typically generated by a differential or difference equation: i: = f(x) or Xn+l =...
Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical...
Examines all significant recent progress made in the theory and applications of a key component of dynamical systems, known as the Lyapunov exponents. Emphasis is placed on shifts towards nonlinear and infinite-dimensional systems and observable engineering applications.
Examines all significant recent progress made in the theory and applications of a key component of dynamical systems, known as the Lyapunov exponents....
Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical systems. I will briefly outline the background of the book, thus placing it in a systematic and historical context and tradition. Roughly speaking, a random dynamical system is a combination of a measure-preserving dynamical system in the sense of ergodic theory, (D, F, lP', (B(t))tE'lf), 'II'= JR+, IR, z+, Z, with a smooth (or topological) dy- namical system, typically generated by a differential or difference equation: i: = f(x) or Xn+l =...
Background and Scope of the Book This book continues, extends, and unites various developments in the intersection of probability theory and dynamical...
