Question

Prove that $T$ is ergodic if $\mu(T^{-n}A \cap B)>0$

score 125 · Answer 1 · 2026-04-16 02:45:48

125

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Prove that $T$ is ergodic if $\mu(T^{-n}A \cap B)>0$

Published on 16 Apr 2026 - 2:45

score 44 · Answer 2 · 2026-04-12 21:06:23

44

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Does, under iteration, all strongly mixing transformations tend to spread sets out, not only in (ordinary) diameter, but also in harmonic diameter?

Published on 12 Apr 2026 - 21:06

score 208 · Answer 3 · 2026-05-04 04:34:38

208

Views

Density limits and sets with positive lower density

Published on 04 May 2026 - 4:34

score 272 · Answer 4 · 2026-04-10 19:00:07

272

Views

measure preserving transformation question

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score 416 · Answer 5 · 2026-05-05 06:21:10

416

Views

Can interesting bounds to Gauss circle problem be seen/come from counting points close to a line?

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score 328 · Answer 6 · 2026-04-29 12:50:44

328

Views

Stationary distribution for a Markov Chain on an uncountable space

Published on 29 Apr 2026 - 12:50

score 270 · Answer 7 · 2026-04-08 21:00:28

270

Views

Proving a.e surjectivity of suggested factor map in Natural extension of Standard Borel dynamical system

Published on 08 Apr 2026 - 21:00

score 988 · Answer 8 · 2026-04-12 01:01:30

988

Views

Kac's Lemma for integrable return times

Published on 12 Apr 2026 - 1:01

score 220 · Answer 9 · 2026-04-23 20:56:22

220

Views

Limiting proportion of time spent in each state of a cyclic birth and death chain

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score 87 · Answer 10 · 2026-04-13 02:16:45

87

Views

Individual Ergodic Theorem, Invariance of the limit function

Published on 13 Apr 2026 - 2:16

score 223 · Answer 11 · 2026-04-10 22:42:03

223

Views

Prove the composition with measure-preserving transformation is continuous on all $L^p$

Published on 10 Apr 2026 - 22:42

score 471 · Answer 12 · 2026-05-07 14:37:05

471

Views

ergodic measure and absolutely continuous measure

Published on 07 May 2026 - 14:37

score 373 · Answer 13 · 2026-04-16 14:33:12

373

Views

Prove that if $\mu$ is purely atomic then $\mu=\sum_{i=1}^\infty p_i \delta_{x_i}$ s.t $\sum_{i=1}^\infty p_i=1$

Published on 16 Apr 2026 - 14:33

score 61 · Answer 14 · 2026-04-11 08:26:24

61

Views

Domino tilings of a $2 \times 10$ rectangle with notches

Published on 11 Apr 2026 - 8:26

score 116 · Answer 15 · 2026-04-14 23:51:19

116

Views

2 sided subshifts of finite type, showing something is compact

Published on 14 Apr 2026 - 23:51

List Question

Prove that $T$ is ergodic if $\mu(T^{-n}A \cap B)>0$

Does, under iteration, all strongly mixing transformations tend to spread sets out, not only in (ordinary) diameter, but also in harmonic diameter?

Density limits and sets with positive lower density

measure preserving transformation question

Can interesting bounds to Gauss circle problem be seen/come from counting points close to a line?

Stationary distribution for a Markov Chain on an uncountable space

Proving a.e surjectivity of suggested factor map in Natural extension of Standard Borel dynamical system

Kac's Lemma for integrable return times

Limiting proportion of time spent in each state of a cyclic birth and death chain

Individual Ergodic Theorem, Invariance of the limit function

Prove the composition with measure-preserving transformation is continuous on all $L^p$

ergodic measure and absolutely continuous measure

Prove that if $\mu$ is purely atomic then $\mu=\sum_{i=1}^\infty p_i \delta_{x_i}$ s.t $\sum_{i=1}^\infty p_i=1$

Domino tilings of a $2 \times 10$ rectangle with notches

2 sided subshifts of finite type, showing something is compact

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