Ergodic theory and dynamical systems from a physical point of view

Abstract EN

Ergodic theory and a large part of dynamical systems are in essence some mathematical modeling, which belong to statistical physics.

This paper is an attempt to present some of the results and principles in ergodic theory and dynamical systems from certain view points of physics such as thermodynamics and classical mechanics. The significance of the variational principle in the statistical physics, the relation between classical approach and statistical approach, also comparison between reversibility in classical mechanics and irreversibility from statistical point of view are discussed.