Infinite Ergodic Theory of Numbers

By Connecting Dynamical Systems And Number Theory, This Graduate Textbook On Ergodic Theory Acts As An Introduction To A Highly Active Area Of Mathematics, Where A Variety Of Strands Of Research Open Up. The Text Explores Various Concepts In Infinite Ergodic Theory, Always Using Continued Fractions And Other Number-theoretic Dynamical Systems As Illustrative Examples. Contents: Preface Mathematical Symbols Number-theoretical Dynamical Systems Basic Ergodic Theory Renewal Theory And α-sum-level Sets Infinite Ergodic Theory Applications Of Infinite Ergodic Theory Bibliography Index