equidistribution
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Equidistribution theorem — In mathematics, the equidistribution theorem is the statement that the sequence : a , 2 a , 3 a , ... mod 1 is uniformly distributed on the unit interval, when a is an irrational number. It is a special case of the ergodic theorem.clarify… … Wikipedia
equidistribution — noun a flat distribution having equal frequencies of occurrence • Hypernyms: ↑distribution, ↑statistical distribution … Useful english dictionary
Equidistributed sequence — In mathematics, a bounded sequence {s1, s2, s3, …} of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that interval. Such sequences are… … Wikipedia
Mersenne twister — The Mersenne twister is a pseudorandom number generator developed in 1997 by Makoto Matsumoto (松本 眞?) and Takuji Nishimura (西村 拓士?)[1] … Wikipedia
Ergodic theory — is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. Its initial development was motivated by problems of statistical physics. A central concern of ergodic theory is the behavior of a dynamical … Wikipedia
Ratner's theorems — In mathematics, Ratner s theorems is a group of major theorems in ergodic theory concerning unipotent flows on homogeneous spaces proved by Marina Ratner around 1990. The study of the dynamics of unipotent flows played decisive role in the proof… … Wikipedia
Pareto distribution — Probability distribution name =Pareto type =density pdf cdf Pareto cumulative distribution functions for various k with x m = 1. The horizontal axis is the x parameter. parameters =x mathrm{m}>0, scale (real) k>0, shape (real) support =x in [x… … Wikipedia
Exponential sum — In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function:e(x) = exp(2pi ix).Therefore a typical… … Wikipedia
Kronecker's theorem — In mathematics, Kronecker s theorem, named after Leopold Kronecker, is a result in diophantine approximations applying to several real numbers xi , for 1 ≤ i ≤ N , that generalises dubious the equidistribution theorem, which implies that an… … Wikipedia
Akshay Venkatesh — (born 21 November 1981 in New Delhi, India) is an Australian mathematician of Indian descent who was a Clay Research Math Fellow research at the Clay Mathematics Institute from 2004 to 2006. His research interests are in the fields of counting,… … Wikipedia
