Question

Conditions for continuity of the map $x \mapsto \mu_x$ (where $ \mu = \intop \mu_x d \mu (x)$ is the ergodic decomposition of $\mu$)

score 97 · Answer 1 · 2026-02-23 06:41:01

97

Views

Conditions for continuity of the map $x \mapsto \mu_x$ (where $ \mu = \intop \mu_x d \mu (x)$ is the ergodic decomposition of $\mu$)

Published on 23 Feb 2026 - 6:41

score 75 · Answer 2 · 2020-11-02 21:31:57

75

Views

What is relation between topological entropy and sensitivity?

Published on 02 Nov 2020 - 21:31

score 158 · Answer 3 · 2026-03-27 07:17:01

158

Views

If $X$ is a Lévy process, can we show $\frac1tX_t\xrightarrow{t\to0+}\operatorname E\left[X_1\right]$?

Published on 27 Mar 2026 - 7:17

score 248 · Answer 4 · 2020-11-04 22:24:07

248

Views

Is the set of sequences with values in a finite set separable?

Published on 04 Nov 2020 - 22:24

score 39 · Answer 5 · 2020-11-05 19:03:29

39

Views

Do there exist measurable transformations which are recurrent over spaces of infinite measure?

Published on 05 Nov 2020 - 19:03

score 177 · Answer 6 · 2020-11-06 08:19:11

177

Views

A ball around of a generic point has a positive ergodic measure

Published on 06 Nov 2020 - 8:19

score 75 · Answer 7 · 2020-11-08 18:37:40

75

Views

Ergodic Lie subsemigroups have a.e. dense orbits in the homogenous quotient space.

Published on 08 Nov 2020 - 18:37

score 187 · Answer 8 · 2020-11-09 20:48:10

187

Views

An example which shows that $F(f) \subset \overline{Per(f)} \subset L(f) \subset \Omega(f)$ is restrict?

Published on 09 Nov 2020 - 20:48

score 45 · Answer 9 · 2020-11-09 21:50:17

45

Views

Decomposition of multiplication invariant probability measure= $q$Dirac$+(1-q)$Lebesgue

Published on 09 Nov 2020 - 21:50

score 127 · Answer 10 · 2020-11-09 22:53:51

127

Views

Proof of Von Neumann Ergodic Theorem

Published on 09 Nov 2020 - 22:53

score 35 · Answer 11 · 2020-11-10 17:07:11

35

Views

Showing an orthogonal complement is closed using Cauchy-Schwarz

Published on 10 Nov 2020 - 17:07

score 107 · Answer 12 · 2020-11-13 23:17:30

107

Views

Continuous versus Discrete Spectrum in Ergodic Theory

Published on 13 Nov 2020 - 23:17

score 45 · Answer 13 · 2020-11-14 01:46:42

45

Views

What is the connection between the norm of a sequence in $l^2(N)$ and the norm of a function in $L^2(X)$? Little $l$ and big $L$ spaces

Published on 14 Nov 2020 - 1:46

score 108 · Answer 14 · 2026-03-31 22:51:09

108

Views

Prove $h_{p\mu+(1-p)\nu}(T)=ph_\mu(T)+(1-p)h_\nu(T)$

Published on 31 Mar 2026 - 22:51

score 178 · Answer 15 · 2020-11-16 19:21:20

178

Views

Are product measures the only $T$-invariant measures if $T$ is the left shift on $\{0,1,\ldots,k-1\}^\mathbb Z$?

Published on 16 Nov 2020 - 19:21

List Question

Conditions for continuity of the map $x \mapsto \mu_x$ (where $ \mu = \intop \mu_x d \mu (x)$ is the ergodic decomposition of $\mu$)

What is relation between topological entropy and sensitivity?

If $X$ is a Lévy process, can we show $\frac1tX_t\xrightarrow{t\to0+}\operatorname E\left[X_1\right]$?

Is the set of sequences with values in a finite set separable?

Do there exist measurable transformations which are recurrent over spaces of infinite measure?

A ball around of a generic point has a positive ergodic measure

Ergodic Lie subsemigroups have a.e. dense orbits in the homogenous quotient space.

An example which shows that $F(f) \subset \overline{Per(f)} \subset L(f) \subset \Omega(f)$ is restrict?

Decomposition of multiplication invariant probability measure= $q$Dirac$+(1-q)$Lebesgue

Proof of Von Neumann Ergodic Theorem

Showing an orthogonal complement is closed using Cauchy-Schwarz

Continuous versus Discrete Spectrum in Ergodic Theory

What is the connection between the norm of a sequence in $l^2(N)$ and the norm of a function in $L^2(X)$? Little $l$ and big $L$ spaces

Prove $h_{p\mu+(1-p)\nu}(T)=ph_\mu(T)+(1-p)h_\nu(T)$

Are product measures the only $T$-invariant measures if $T$ is the left shift on $\{0,1,\ldots,k-1\}^\mathbb Z$?

Trending Questions

Popular # Hahtags

Popular Questions