423 reputation
210
bio website home.exetel.com.au/mansfield
location Sydney
age 32
visits member for 5 years
seen Aug 20 at 6:54
PhD student at UNSW

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
Jan
31
comment Permutations that preserve Cesaro mean
I do mean the set $S$ of permutations preserving a given Cesaro mean.