measure-preserving
11Poincaré recurrence theorem — In mathematics, the Poincaré recurrence theorem states that certain systems will, after a sufficiently long time, return to a state very close to the initial state. The Poincaré recurrence time is the length of time elapsed until the recurrence.… …
12Random dynamical system — In mathematics, a random dynamical system is a measure theoretic formulation of a dynamical system with an element of randomness , such as the dynamics of solutions to a stochastic differential equation. It consists of a base flow, the noise ,… …
13Mixing (mathematics) — In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: mixing paint, mixing drinks, etc. The concept appears in ergodic theory the… …
14Bernoulli scheme — In mathematics, the Bernoulli scheme or Bernoulli shift is a generalization of the Bernoulli process to more than two possible outcomes.[1][2] Bernoulli schemes are important in the study of dynamical systems, as most such systems (such as Axiom… …
15Grigorchuk group — In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constructed by Rostislav Grigorchuk that provided the first example of a finitely generated group of intermediate (that is …
16Map projection — A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy s Geography and using his second map projection A map projection is any method of representing the surface of a sphere or other …
17Measurable function — In mathematics, particularly in measure theory, measurable functions are structure preserving functions between measurable spaces; as such, they form a natural context for the theory of integration. Specifically, a function between measurable… …
18Polyrhythm — is the simultaneous sounding of two or more independent rhythms. Polyrhythms can be distinguished from irrational rhythms, which can occur within the context of a single part; polyrhythms require at least two rhythms to be played concurrently,… …
19Alexandra Bellow — (1935 ndash;) is a mathematician who has made substantial contributions to the fields of ergodic theory, probability and analysis. BiographyShe was born in Bucharest, Romania, as Alexandra Bagdasar. Her parents were both physicians. Her mother,… …
20Entropy (disambiguation) — Additional relevant articles may be found in the following categories: Thermodynamic entropy Entropy and information Quantum mechanical entropy Entropy, in thermodynamics, is a measure of the energy in a thermodynamic system not available to do… …
