Title: Entropy of conservative endomorphisms
Speaker: Jon Aaronson
Speaker Info: Tel Aviv University
Brief Description:
Special Note:
Abstract:
We discuss entropy (as defined by Krengel in 1967) of infinite, conservative transformations introducing a similarity-invariant class of quasi-finite transformations. For these transformations there is a Pinsker - (i.e. maximal zero entropy-) factor and information convergence. In certain nice cases, we obtain distributional convergence of information. It turns out that there are probability preserving transformations with zero entropy with analogous properties. Joint work with Kyewon Koh Park.Date: Tuesday, February 13, 2007