Ergodic Theory: Nonsingular Transformations

2008/03/17 by Alexandre I. Danilenko, Danilenko, Alexandre I., Cesar E. Silva +1
Computer Science · Physics and Astronomy · #37A40 #Advanced Thermodynamics and Statistical Mechanics #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0803.2424

openalex publication_date 2008/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This survey is a 2022 update of the 2008 version, with recent developments and new references.

Related

• Smooth ergodic theory
• Lecture notes on ergodic transformations
• A Proof of the Ergodic Theorem using Nonstandard Analysis
• New Applications of Ergodic Theory to Sets of Differences
• Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem