User Asaf

26 votes

Accepted

If there is a dense geodesic, are almost all geodesics equidistributed? Dense?

answered Jul 20, 2014 at 19:56

11 votes

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Furstenberg $\times 2 \times 3$ conjecture, bibliography

answered Mar 27, 2014 at 19:34

10 votes

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References on Lie groups and dynamical systems

answered Apr 2, 2011 at 21:36

10 votes

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Equidistibution of horocycles through Hecke eigenvalues of Maass cusp forms

answered Jun 11, 2012 at 14:15

8 votes

Applications of measure, integration and Banach spaces to combinatorics

answered Aug 28, 2010 at 22:28

8 votes

Has dynamics on $G/\Gamma$ ever been used to prove interesting things about $\Gamma$?

answered Sep 20, 2018 at 19:19

7 votes

rate of equidistribution of the horocycle flow for $SL(2, \mathbb{Z})$

answered Feb 14, 2017 at 18:38

7 votes

Background for Hejhal's "The Selberg Trace Formula for $PSL(2, \mathbb{R})$

answered Nov 6, 2012 at 9:58

6 votes

Examples of transformations that are totally ergodic but not weakly mixing?

answered Aug 29, 2013 at 16:21

6 votes

Ihara zeta function

answered Jan 23, 2012 at 14:15

6 votes

Failures that lead eventually to new mathematics

answered Oct 7, 2011 at 7:53

5 votes

Kronecker Approximation theorem and Fibonacci numbers

answered Jun 14, 2011 at 19:33

5 votes

Book recommendation for ergodic theory and/or topological dynamics?

answered Dec 5, 2011 at 11:24

5 votes

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Gelfand representation and functional calculus applications beyond Functional Analysis

answered Apr 18, 2013 at 18:17

5 votes

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Why limit of discrete series representation?

answered Jul 10, 2012 at 13:12

5 votes

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Kronecker theorems on linear forms.

answered Mar 1, 2012 at 8:07

5 votes

Uniform distribution of sequence mod 1

answered Oct 6 at 0:19

4 votes

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A lattice in $ \operatorname{SL}_n $ is Ad-irreducible

answered Sep 30, 2022 at 3:19

4 votes

"Typical" convergence rate for the von Neumann mean ergodic theorem

answered May 15, 2015 at 15:27

4 votes

Hausdorff dimension of sequence space

answered Apr 20, 2016 at 14:42

4 votes

Accepted

Interesting examples of functions that are not orthogonal to the Mobius function?

answered Nov 16, 2016 at 19:35

4 votes

Looking for at least one beautiful and not too technical result in asymptotic group theory

answered Apr 18, 2012 at 17:34

4 votes

Sequences equidistributed modulo 1

answered May 18, 2013 at 20:24

4 votes

Uniform distribution in (non-compact) locally compact spaces

answered Sep 20, 2013 at 11:41

4 votes

Connection between quadratic forms and ideal class group

answered Feb 18, 2014 at 22:11

4 votes

Examples of Using Class Field Theory

answered Apr 18, 2011 at 13:35

4 votes

Accepted

Looking for concise books on automorphic L-functions, Eisenstein series on adelic homogeneous spaces

answered Oct 27, 2011 at 7:42

3 votes

Accepted

Furstenberg-Zimmer theorem: non-invertible systems

answered Oct 4, 2011 at 18:27

3 votes

Accepted

Weyl's Equidistribution Theorem and Measure Theory

answered Jan 28, 2012 at 16:36

3 votes

Quick computation of the Pontryagin dual group of torus

answered Feb 25, 2012 at 23:27

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64 Answers

If there is a dense geodesic, are almost all geodesics equidistributed? Dense?

Furstenberg $\times 2 \times 3$ conjecture, bibliography

References on Lie groups and dynamical systems

Equidistibution of horocycles through Hecke eigenvalues of Maass cusp forms

Applications of measure, integration and Banach spaces to combinatorics

Has dynamics on $G/\Gamma$ ever been used to prove interesting things about $\Gamma$?

rate of equidistribution of the horocycle flow for $SL(2, \mathbb{Z})$

Background for Hejhal's "The Selberg Trace Formula for $PSL(2, \mathbb{R})$

Examples of transformations that are totally ergodic but not weakly mixing?

Ihara zeta function

Failures that lead eventually to new mathematics

Kronecker Approximation theorem and Fibonacci numbers

Book recommendation for ergodic theory and/or topological dynamics?

Gelfand representation and functional calculus applications beyond Functional Analysis

Why limit of discrete series representation?

Kronecker theorems on linear forms.

Uniform distribution of sequence mod 1

A lattice in $ \operatorname{SL}_n $ is Ad-irreducible

"Typical" convergence rate for the von Neumann mean ergodic theorem

Hausdorff dimension of sequence space

Interesting examples of functions that are not orthogonal to the Mobius function?

Looking for at least one beautiful and not too technical result in asymptotic group theory

Sequences equidistributed modulo 1

Uniform distribution in (non-compact) locally compact spaces

Connection between quadratic forms and ideal class group

Examples of Using Class Field Theory

Looking for concise books on automorphic L-functions, Eisenstein series on adelic homogeneous spaces

Furstenberg-Zimmer theorem: non-invertible systems

Weyl's Equidistribution Theorem and Measure Theory

Quick computation of the Pontryagin dual group of torus