measure-preserving
31time average — noun (ergodic theory) the average (if it exists) of a function over iterations of T, a measure preserving transformation on a measure space, starting from some initial point x …
32Dissipation — In physics, dissipation embodies the concept of a dynamical system where important mechanical models, such as waves or oscillations, lose[citation needed] energy over time, typically from friction or turbulence. The lost energy converts into heat …
33Joseph Liouville — Infobox Scientist name =Joseph Liouville box width = image width =150px caption =Joseph Liouville birth date = March 24 1809 birth place = death date = September 8 1882 death place = residence = citizenship = nationality = French ethnicity =… …
34List of dynamical systems and differential equations topics — This is a list of dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Contents 1 Dynamical systems, in general 2 Abstract dynamical systems 3 …
35Symbolic dynamics — In mathematics, symbolic dynamics is the practice of modelling a topological or smooth dynamical system by a discrete space consisting of infinite sequences of abstract symbols, each of which corresponds to a state of the system, with the… …
36Maximal ergodic theorem — The maximal ergodic theorem is a theorem in ergodic theory, a discipline within mathematics. Suppose that is a probability space, that is a (possibly noninvertible) measure preserving transformation, and that . Define f * by The …
37Ergodic Ramsey theory — is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory.Ergodic Ramsey theory arose shortly after Endre Szemerédi s proof that a set of positive upper density contains arbitrarily long… …
38Donald Ornstein — D. Ornstein en 1970 Donald Samuel Ornstein (né en 1934) est un mathématicien américain. Il est professeur de théorie ergodique à l université Stanford ; il a pris sa retraite en 2004. Il est membre de la National Academy of Sciences depuis… …
39Théorie du chaos — Pour les articles homonymes, voir Chaos. Attracteur étrange de Lorenz La théorie du chaos traite des systèmes dynamiques rigoureusement déterminis …
40Теорема Новикова о компактном слое — Теорема Новикова о компактном слое: Двумерное слоение на трехмерном многообразии с нестягиваемой универсальной накрывающей имеет компактный слой. Содержание 1 Теорема Новикова о компактном слое на сфере …
