measure-preserving
21List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …
22Subshift of finite type — In mathematics, subshifts of finite type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the set of all possible sequences executed by a finite state… …
23Ergodic (adjective) — In mathematics and physics, the adjective ergodic is used to imply that a system satisfies the ergodic hypothesis of thermodynamics or that it is a system studied in ergodic theory. Formal definitionLet (X, Sigma, mu) be a probability space, and… …
24Entropy (general concept) — In many branches of science, entropy refers to a certain measure of the disorder of a system. Entropy is particularly notable as it has a broad, common definition that is shared across physics, mathematics and information science. Although the… …
25Maximal function — Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability… …
26Mixing (physics) — In physics, a dynamical system is said to be mixing if the phase space of the system becomes strongly intertwined, according to at least one of several mathematical definitions. For example, a measure preserving transformation T is said to be… …
27Hyperfinite type II factor — In mathematics, there are up to isomorphism exactly two hyperfinite type II factors; one infinite and one finite. Murray and von Neumann proved that up to isomorphism there is a unique von Neumann algebra that is a factor of type II1 and also… …
28Partition regular — In mathematics, the notion of partition regularity in combinatorics is one approach to explaining when a set system is quite large.Given a set X, a collection of subsets mathbb{S} subset mathcal{P}(X) is called partition regular if for any A in… …
29Base flow (random dynamical systems) — In mathematics, the base flow of a random dynamical system is the dynamical system defined on the noise probability space that describes how to fast forward or rewind the noise when one wishes to change the time at which one starts the random… …
30Liouville, Joseph — ▪ French mathematician born March 24, 1809, Saint Omer, France died September 8, 1882, Paris French mathematician known for his work in analysis, differential geometry, and number theory and for his discovery of transcendental numbers i.e …
