Ergodic theory lies at the intersection of many areas of mathematics, including smooth dynamics, statistical mechanics, probability, harmonic analysis, and group actions. Problems, techniques, and results are related to many other areas of mathematics, and ergodic theory has had applications both within mathematics and to numerous other branches of science. Ergodic theory has particularly strong overlap with other branches of dynamical systems; to clarify what distinguishes it from other areas of dynamics, we start with a quick overview of dynamical systems.
|Original language||English (US)|
|Title of host publication||Mathematics of Complexity and Dynamical Systems|
|Editors||Robert A Meyers|
|Publisher||Springer New York|
|Number of pages||2|
|State||Published - 2011|