418 reputation
210
bio website home.exetel.com.au/mansfield
location Sydney
age 31
visits member for 4 years, 3 months
seen Nov 12 at 3:28
PhD student at UNSW

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
Jan
31
comment Permutations that preserve Cesaro mean
I do mean the set $S$ of permutations preserving a given Cesaro mean.
Jan
27
asked Permutations that preserve Cesaro mean
Jan
13
comment Question about entropy
I like this answer because it answers what the question should have been.
Jan
13
revised Question about entropy
added 9 characters in body
Jan
13
revised Question about entropy
added 18 characters in body
Jan
13
revised Question about entropy
added 9 characters in body
Jan
13
comment Question about entropy
Thank you Anthony, $TQ$ is not necessarily an element of the partition. I have modified the answer in response to your comment.
Jan
13
revised Question about entropy
edits based on comment by A.Quas
Jan
13
awarded  Critic