5 papers
An Alpern tower independent of a given partition
J. T. Campbell, J. T. Collins, R. King +2
Given a measure-preserving transformation of a probability space and a finite measurable partition of , we show how to construct an Alpern tower of…
Random-step Markov processes
Neal Bushaw, Karen Gunderson, Steven Kalikow
We explore two notions of stationary processes. The first is called a random-step Markov process in which the stationary process of states, has a station…
Non-intersecting splitting algebras in a non-Bernoulli transformation
Steven Kalikow
Given a measure preserving transformation on a Lebesgue algebra, a complete invariant sub algebra is said to split if there is another complete invariant sub $σ…
Infinite Partitions and Rokhlin Towers
Steven Kalikow
We find a countable partition on\textbf{} a Lebesgue space, labeled \}, for any non-periodic measure preserving transformation such that generates and f…
Transposition game
Elise Janvresse, Steve Kalikow, Thierry De La Rue
We introduce a two-player game, in which each player extends a given sequence by picking a free element in a domain D of the real line. The aim of the players is to control the par…