ergodic property
11Roger Jones (mathematician) — For Roger Jones the physicist and entrepreneur see Roger Jones (physicist and entrepreneur) Roger L. Jones is an American mathematician. He has his Ph.D. in mathematics from Rutgers University and has recently retired from a professorship in… …
12Ergodicity — For other uses, see Ergodic (disambiguation). In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged over space. In physics the term is used to imply… …
13John von Neumann — Von Neumann redirects here. For other uses, see Von Neumann (disambiguation). The native form of this personal name is Neumann János. This article uses the Western name order. John von Neumann …
14probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …
15Grigory Margulis — Infobox Scientist name = Grigory Margulis box width = image width = 200px caption = Grigory Margulis birth date = February 24, 1946 (age 62) birth place = death date = death place = residence = citizenship = nationality = Russia ethnicity = field …
16Khinchin's constant — In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x , the infinitely many denominators a i of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as… …
17Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …
18Measure (mathematics) — Informally, a measure has the property of being monotone in the sense that if A is a subset of B, the measure of A is less than or equal to the measure of B. Furthermore, the measure of the empty set is required to be 0. In mathematical analysis …
19Standard probability space — In probability theory, a standard probability space (called also Lebesgue Rokhlin probability space) is a probability space satisfying certain assumptions introduced by Vladimir Rokhlin in 1940 [1] . He showed that the unit interval endowed with… …
20Maximal 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… …
