Equidistribution theorem
id:
equidistribution-theorem-233-8568096
title:
Equidistribution theorem
text:
In mathematics, the equidistribution theorem is the statement that the sequence is uniformly distributed on the circle R / Z , when a is an irrational number. It is a special case of the ergodic theorem where one takes the normalized angle measure μ = d θ 2 π .
brand slug:
wiki
category slug:
encyclopedia
description:
Integer multiples of any irrational mod 1 are uniformly distributed on the circle
original url:
https://en.wikipedia.org/wiki/Equidistribution_theorem
date created:
date modified:
2023-01-02T17:24:18Z
main entity:
{"identifier":"Q3984052","url":"https://www.wikidata.org/entity/Q3984052"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/88/Equidistribution_theorem.svg","width":2200,"height":2200}
fields total:
13
integrity:
15