Question

¿If a Borel $\sigma$-algebra is generated by a collection of subsets of algebra, then the Borel $\sigma$-algebra is generated by the algebra?

score 81 · Answer 1 · 2015-03-23 23:03:13

¿If a Borel $\sigma$-algebra is generated by a collection of subsets of algebra, then the Borel $\sigma$-algebra is generated by the algebra?

score 31 · Answer 2 · 2015-03-24 03:37:33

31

Views

If a Borel $\sigma$-algebra is genertated by a collection, then the collection is closed under intersections?

Published on 24 Mar 2015 - 3:37

score 1k · Answer 3 · 2015-03-29 01:10:13

1k

Views

What is an intuitive explanation for Birkhoff's ergodic theorem?

Published on 29 Mar 2015 - 1:10

score 196 · Answer 4 · 2015-03-29 12:09:50

196

Views

Prove a measure is ergodic

Published on 29 Mar 2015 - 12:09

score 67 · Answer 5 · 2015-03-29 13:35:22

67

Views

Rotation on circle ergodic measures

Published on 29 Mar 2015 - 13:35

score 61 · Answer 6 · 2015-03-31 03:51:16

61

Views

What is $T>0$ large enough such that $\mu\left(B\right)<\varepsilon$?

Published on 31 Mar 2015 - 3:51

score 42 · Answer 7 · 2015-04-01 20:43:46

42

Views

If $\mu$ is $f$-invariant for a collection generating the Borel $\sigma$-algebra, then $\mu$ is $f$-invariant?

Published on 01 Apr 2015 - 20:43

score 34 · Answer 8 · 2015-04-01 21:56:57

34

Views

If a Borel $\sigma$-algebra is genertated by a collection, then the collection is closed under unions?

Published on 01 Apr 2015 - 21:56

score 24 · Answer 9 · 2015-04-01 23:00:56

24

Views

Example of measurable space generating by a collectión $\mathcal{B}$ such that $\mathcal{B}$ is not colsed under intersections.

Published on 01 Apr 2015 - 23:00

score 1.6k · Answer 10 · 2015-04-06 02:33:24

1.6k

Views

The irrational rotation is ergodic. The proof should use the idea of density point.

Published on 06 Apr 2015 - 2:33

score 1k · Answer 11 · 2026-03-27 05:05:53

1k

Views

Expanding maps of the circle and their coding

Published on 27 Mar 2026 - 5:05

score 247 · Answer 12 · 2015-04-09 20:01:05

247

Views

Beta transformation is Ergodic.

Published on 09 Apr 2015 - 20:01

score 84 · Answer 13 · 2015-04-10 21:09:23

84

Views

Partitioning a space such that a set of ergodic measures is uniquely supported on one of the sets

Published on 10 Apr 2015 - 21:09

score 80 · Answer 14 · 2015-04-11 17:29:00

80

Views

T invariant probability measure on a compact space $X$

Published on 11 Apr 2015 - 17:29

score 97 · Answer 15 · 2015-04-12 15:30:17

97

Views

Prove operator is isometry

Published on 12 Apr 2015 - 15:30

List Question

¿If a Borel $\sigma$-algebra is generated by a collection of subsets of algebra, then the Borel $\sigma$-algebra is generated by the algebra?

If a Borel $\sigma$-algebra is genertated by a collection, then the collection is closed under intersections?

What is an intuitive explanation for Birkhoff's ergodic theorem?

Prove a measure is ergodic

Rotation on circle ergodic measures

What is $T>0$ large enough such that $\mu\left(B\right)<\varepsilon$?

If $\mu$ is $f$-invariant for a collection generating the Borel $\sigma$-algebra, then $\mu$ is $f$-invariant?

If a Borel $\sigma$-algebra is genertated by a collection, then the collection is closed under unions?

Example of measurable space generating by a collectión $\mathcal{B}$ such that $\mathcal{B}$ is not colsed under intersections.

The irrational rotation is ergodic. The proof should use the idea of density point.

Expanding maps of the circle and their coding

Beta transformation is Ergodic.

Partitioning a space such that a set of ergodic measures is uniquely supported on one of the sets

T invariant probability measure on a compact space $X$

Prove operator is isometry

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