User Vaughn Climenhaga

139 votes

Proofs without words

answered May 20, 2010 at 1:27

84 votes

Is the boundary $\partial S$ analogous to a derivative?

answered Nov 17, 2010 at 21:27

35 votes

Connection between properties of dynamical and ergodic systems

answered Nov 24, 2012 at 22:33

26 votes

What are some mathematical sculptures?

answered Jul 19, 2010 at 15:26

25 votes

Proof of Krylov-Bogoliubov theorem

answered Jun 1, 2011 at 17:47

20 votes

Book recommendation for ergodic theory and/or topological dynamics?

answered Dec 5, 2011 at 1:38

20 votes

Proofs without words

answered May 15, 2010 at 16:40

19 votes

Accepted

If you were to axiomatize the notion of entropy

answered Jul 1, 2011 at 5:17

18 votes

Accepted

Particles chasing one another around a circle

answered Dec 3, 2012 at 7:01

17 votes

Accepted

Birkhoff ergodic theorem and the measure of the bad points

answered Aug 25, 2013 at 20:43

12 votes

Accepted

Ruelle Perron Frobenius Operator

answered Nov 29, 2010 at 22:05

11 votes

Accepted

Hausdorff dimension of graphs .

answered Aug 29, 2011 at 19:17

11 votes

Accepted

Relation between Hausdorff dimension and Bowen's equation

answered Aug 4, 2010 at 5:08

10 votes

Is there an intrinsic definition of fractal (i.e. not embedded in euclidean space)?

answered May 18, 2010 at 13:54

10 votes

Accepted

Absolute continuity on $R^{n}$

answered Feb 1, 2012 at 3:15

10 votes

Is there any expression for the Feigenbaum constants ?

answered Feb 7, 2012 at 4:25

9 votes

Separable sigma-algebra: equivalence of two definitions

answered May 28, 2012 at 20:46

9 votes

Accepted

Compact manifolds which do not admit a diffeomorphism with a dense orbit

answered Apr 26, 2018 at 3:13

9 votes

Accepted

Ruelle-Perron-Frobenius theorem for shift of finite type

answered Aug 2, 2019 at 19:21

8 votes

Examples of statements with a high quantifier complexity

answered Sep 26, 2017 at 4:06

8 votes

Proofs without words

answered Nov 29, 2017 at 17:48

8 votes

Accepted

Count of non-trivial ergodic measures of a topological dynamical system

answered Jul 29, 2021 at 15:57

8 votes

Accepted

Simply connected manifolds with dense geodesics on the tangent bundle

answered Oct 4, 2016 at 23:12

8 votes

Accepted

Aproximating dynamical systems by intrinsically ergodic systems

answered Jul 9, 2012 at 15:36

8 votes

Accepted

What is the probability of an arbitrary nonlinear dynamical system to be chaotic?

answered Sep 23, 2013 at 14:53

8 votes

Accepted

Is there a one-dimensional subshift of positive entropy s, all of whose sub-subshifts also have entropy s?

answered Dec 6, 2013 at 19:46

8 votes

Accepted

Omit each vertex in turn of convex polygon: Iterative limit?

answered Mar 29, 2014 at 1:27

7 votes

Accepted

Graph presentation of Lexicographic shifts

answered Apr 8, 2014 at 15:05

7 votes

Classes of dynamical systems

answered Apr 22, 2014 at 5:04

7 votes

Accepted

The intuition behind the Hilbert projective metric and the Perron Frobenius Theorem

answered Nov 15, 2015 at 19:51

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98 Answers

Proofs without words

Is the boundary $\partial S$ analogous to a derivative?

Connection between properties of dynamical and ergodic systems

What are some mathematical sculptures?

Proof of Krylov-Bogoliubov theorem

Book recommendation for ergodic theory and/or topological dynamics?

Proofs without words

If you were to axiomatize the notion of entropy

Particles chasing one another around a circle

Birkhoff ergodic theorem and the measure of the bad points

Ruelle Perron Frobenius Operator

Hausdorff dimension of graphs .

Relation between Hausdorff dimension and Bowen's equation

Is there an intrinsic definition of fractal (i.e. not embedded in euclidean space)?

Absolute continuity on $R^{n}$

Is there any expression for the Feigenbaum constants ?

Separable sigma-algebra: equivalence of two definitions

Compact manifolds which do not admit a diffeomorphism with a dense orbit

Ruelle-Perron-Frobenius theorem for shift of finite type

Examples of statements with a high quantifier complexity

Proofs without words

Count of non-trivial ergodic measures of a topological dynamical system

Simply connected manifolds with dense geodesics on the tangent bundle

Aproximating dynamical systems by intrinsically ergodic systems

What is the probability of an arbitrary nonlinear dynamical system to be chaotic?

Is there a one-dimensional subshift of positive entropy s, all of whose sub-subshifts also have entropy s?

Omit each vertex in turn of convex polygon: Iterative limit?

Graph presentation of Lexicographic shifts

Classes of dynamical systems

The intuition behind the Hilbert projective metric and the Perron Frobenius Theorem