Impact
~8k
people reached
- 0 posts edited
- 0 helpful flags
- 14 votes cast
Sep
24 |
comment |
Book recommendation for ergodic theory and/or topological dynamics?
This book makes for beautiful reading. The only problem is that it's hard to get a copy. |
Aug
20 |
comment |
Classification of ergodic measures for circle expanding maps
... which is why nobody has used $g$-measures to solve Furstenberg's conjecture. Although it might be nice to reprove Dan Rudolph's result using $g$-measures. |
Aug
20 |
comment |
Classification of ergodic measures for circle expanding maps
I'd like to add at Riesz product measures to this list, and suggest $g$-measures as a way of describing $X_d$-invariant measures. I believe (perhaps someone can confirm this?) that if $h_\mu(X_d) > 0$ then $\mu$ can be written as a $g$-measure. |
Aug
5 |
revised |
Are limits decidable? Should definitions be decidable?
made title match the updated question |
Aug
5 |
comment |
Are limits decidable? Should definitions be decidable?
Thanks for helping me to grow my question. I've split this into two parts: first I'd like to know if there is a decidable version of $\lim$. For the second question I'm interested in people's opinion on what constitutes a definition. |
Aug
5 |
revised |
Are limits decidable? Should definitions be decidable?
improved question |
Aug
5 |
revised |
Are limits decidable? Should definitions be decidable?
made into more of a question |
Aug
5 |
asked | Are limits decidable? Should definitions be decidable? |
Jul
19 |
revised |
System with invariant measure, but no ergodic measure.
removal of errors |
Jul
2 |
awarded | Curious |
May
31 |
awarded | Yearling |
May
20 |
comment |
Is an odometer action on a product space always conjugate to its inverse by an involution?
For Q2 I mean a Bratteli diagram with more than one vertex at each level. I wish to distinguish between reversing the ordering and the map $\phi$ defined in the question. 1) reversing the order of the B-diagram. Let $\psi : (V,E,\leq) \mapsto (V,E,\geq), \phi(x) = x$. In this case the action of $T$ and $T^{-1}$ are the same and $\frac{dT^{-1}\mu}{d\mu} = \frac{dT\mu}{d\mu}$ 2) The map $\phi : (V,E,\leq) \mapsto (V,E,\leq)$ does not change the order, and the action of $T$ and $T^{-1}$ are different, the derivatives are not necessarily the same. |
May
15 |
asked | Is an odometer action on a product space always conjugate to its inverse by an involution? |
May
8 |
accepted | Is an non-singualr invertable ergodic transformation on a measure space isomorphic to its inverse? |
May
3 |
asked | Is an non-singualr invertable ergodic transformation on a measure space isomorphic to its inverse? |
Apr
18 |
awarded | Nice Question |
Nov
6 |
accepted | ITPFI factors with restricted growth |
Nov
2 |
asked | ITPFI factors with restricted growth |
Jan
31 |
comment |
Permutations that preserve Cesaro mean
Permutations preserving Cesaro mean for any sequence would be the Levy group. See theorem 2 of M. Blümlinger; N. Obata "Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences" (1991) |
Jan
31 |
revised |
Permutations that preserve Cesaro mean
deleted 2 characters in body |