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Results tagged with measure-theory
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user 8857
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
3
votes
Accepted
Weyl's Equidistribution Theorem and Measure Theory
This is a very interesting question, which actually asks about the interplay between equidistribution (or harmonic analysis if you would like to call it that way) and ergodic theory.
As Vaughn mentio …
- 2,459
4
votes
Uniform distribution in (non-compact) locally compact spaces
This is not a complete answer by any means, just a hint to some interesting problems where people have thought about your question.
One should bear in mind that the case of a general $X$, and drawing …
- 2,459
8
votes
Applications of measure, integration and Banach spaces to combinatorics
Fourier Analysis is a major tool in Arithmetic combinatorics (see Tao and Vu's book, they have a chapter named L^p theory, i.e. the theorem of Bourgain's about "long APs in sumsets").
Moreover, one c …
- 2,459
4
votes
Looking for at least one beautiful and not too technical result in asymptotic group theory
You can speak about the Howe-Moore theorem, which is very useful and imply ergodicity (and actually, mixing) of group actions on reasonable spaces.