Math Seminars
J. Aaronson
(Tel-Aviv University)
Entropy of conservative endomorphisms
We discuss entropy (as defined by Krengel in 1967) of
infinite, conservative transformations introducing a similarity-invariant
class of quasi-finite transformations (which means that the entropy of 1st return time partition is finite for some set).
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.