About: Equidistribution theorem

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In mathematics, the equidistribution theorem is the statement that the sequence a, 2a, 3a, ... mod 1 is uniformly distributed on the circle , when a is an irrational number. It is a special case of the ergodic theorem where one takes the normalized angle measure .

Attributes	Values
rdf:type	yago:WikicatTheorems yago:WikicatTheoremsInNumberTheory yago:Abstraction100002137 yago:Communication100033020 yago:Message106598915 yago:Proposition106750804 yago:Statement106722453 yago:Theorem106752293
rdfs:label	Equidistribution theorem (en) Teorema di equidistribuzione (it) 균등분포 정리 (ko) Teorema da equidistribuição de Weyl (pt)
rdfs:comment	In mathematics, the equidistribution theorem is the statement that the sequence a, 2a, 3a, ... mod 1 is uniformly distributed on the circle , when a is an irrational number. It is a special case of the ergodic theorem where one takes the normalized angle measure . (en) 균등분포 정리(Equidistribution theorem)는 임의의 무리수 a에 대해 a, 2a, 3a, ... mod 1 은 균등분포되어 있다는 에르고딕 이론의 정리이다. (ko) In matematica, il teorema di equidistribuzione è l'asserzione che la successione {a, 2a, 3a, ...} mod 1 è uniformemente distribuita sull'intervallo unitario [0,1], quando a è un numero irrazionale. Esso è un caso particolare del teorema ergodico. (it) Em matemática, o teorema da equidistribuição estabelece que a sequência a, 2a, 3a, ... mod 1 é sobre o , quando a é um número irracional. É um caso especial do teorema ergódico. (pt)
foaf:depiction
dcterms:subject	Theorems in number theory Ergodic theory Diophantine approximation
Wikipage page ID	2541664 (xsd:integer)
Wikipage revision ID	1122155068 (xsd:integer)
Link from a Wikipage to another Wikipage	Theorems in number theory Mathematics Low-discrepancy sequence Circle Elias M. Stein Geometric series George Birkhoff Equidistributed sequence Three-gap theorem Wacław Sierpiński Irrational number Ergodic theorem Aleksandr Khinchin Almost all Diophantine approximation Dirichlet's approximation theorem Weyl's criterion Hermann Weyl Ivan Vinogradov Jean Bourgain Prime number Ergodic theory Diophantine approximation Piers Bohl Sequence Unit interval Exponential sum Lebesgue measurable Rendiconti del Circolo Matematico di Palermo Odd Goldbach conjecture Shift map
Link from a Wikipage to an external page	https://zenodo.org/record/1428454 https://zenodo.org/record/2425535 http://www.pnas.org/cgi/reprint/17/12/656
sameAs	Equidistribution theorem Equidistribution theorem Equidistribution theorem Equidistribution theorem Equidistribution theorem Equidistribution theorem Equidistribution theorem
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thumbnail	wiki-commons:Special:FilePath/equidistribution_theorem.svg?width=300
has abstract	In mathematics, the equidistribution theorem is the statement that the sequence a, 2a, 3a, ... mod 1 is uniformly distributed on the circle , when a is an irrational number. It is a special case of the ergodic theorem where one takes the normalized angle measure . (en) 균등분포 정리(Equidistribution theorem)는 임의의 무리수 a에 대해 a, 2a, 3a, ... mod 1 은 균등분포되어 있다는 에르고딕 이론의 정리이다. (ko) In matematica, il teorema di equidistribuzione è l'asserzione che la successione {a, 2a, 3a, ...} mod 1 è uniformemente distribuita sull'intervallo unitario [0,1], quando a è un numero irrazionale. Esso è un caso particolare del teorema ergodico. (it) Em matemática, o teorema da equidistribuição estabelece que a sequência a, 2a, 3a, ... mod 1 é sobre o , quando a é um número irracional. É um caso especial do teorema ergódico. (pt)
prov:wasDerivedFrom	wikipedia-en:Equidistribution_theorem?oldid=1122155068&ns=0
page length (characters) of wiki page	5962 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Equidistribution_theorem
is Link from a Wikipage to another Wikipage of	Weyl sequence George David Birkhoff Equidistributed sequence Equiprobability Limit inferior and limit superior Kronecker's theorem Measure-preserving dynamical system Three-gap theorem Aleksandr Khinchin Ergodic theory Ratner's theorems Circolo Matematico di Palermo Exponential sum List of theorems Weyl's equidistribution theorem
is Wikipage redirect of	Weyl's equidistribution theorem
is foaf:primaryTopic of	wikipedia-en:Equidistribution_theorem

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