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Prokhorov's theorem. In measure theory Prokhorov's theorem relates tightness of measures to relative compactness (and hence weak convergence) in the space of probability measures. It is credited to the Soviet mathematician Yuri Vasilyevich Prokhorov, who considered probability measures on complete separable metric spaces. The term "Prokhorov ...
Lévy–Prokhorov metric. In mathematics, the Lévy–Prokhorov metric (sometimes known just as the Prokhorov metric) is a metric (i.e., a definition of distance) on the collection of probability measures on a given metric space. It is named after the French mathematician Paul Lévy and the Soviet mathematician Yuri Vasilyevich Prokhorov ...
Charles Hard Townes (July 28, 1915 – January 27, 2015) was an American physicist. [4] [5] Townes worked on the theory and application of the maser, for which he obtained the fundamental patent, and other work in quantum electronics associated with both maser and laser devices.
The Reverse Hierarchy Theory (RHT), proposed by Ahissar & Hochstein, aims to link between learning dynamics and specificity and the underlying neuronal sites. [54] RHT proposes that naïve performance is based on responses at high-level cortical areas, where crude, categorical level representations of the environment are represented.
Yuri Vasilyevich Prokhorov (Russian: Ю́рий Васи́льевич Про́хоров; 15 December 1929 – 16 July 2013) was a Soviet and Russian mathematician, active in the field of probability theory. He was a PhD student of Andrey Kolmogorov at the Moscow State University, where he obtained his PhD in 1956. Prokhorov became a ...
Lévy metric. In mathematics, the Lévy metric is a metric on the space of cumulative distribution functions of one-dimensional random variables. It is a special case of the Lévy–Prokhorov metric, and is named after the French mathematician Paul Lévy.
Eugene Dynkin. Anatoliy Volodymyrovych Skorokhod (Ukrainian: Анато́лій Володи́мирович Скорохо́д; September 10, 1930 – January 3, 2011) [1] was a Soviet and Ukrainian mathematician. Skorokhod is well-known for a comprehensive treatise on the theory of stochastic processes, co-authored with Gikhman. [2][3][4]
Continuum percolation theory. In mathematics and probability theory, continuum percolation theory is a branch of mathematics that extends discrete percolation theory to continuous space (often Euclidean space ℝn). More specifically, the underlying points of discrete percolation form types of lattices whereas the underlying points of continuum ...