HOROWITZ SEMINAR

PROBABILITY, ERGODIC THEORY and DYNAMICAL SYSTEMS

Y. Gutman (TAU)

will speak on

Juzvinskii Addition Theorems for Amenable Groups and Free Groups.

ABSTRACT:
The classical Juzvinskii Addition Theorem states that the entropy of an automorphism of a
compact group decomposes along invariant subgroups.

Thomas generalized the theorem to a skew-product setting.

We introduce skew-rigid actions which enable us to prove the addition theorem in the setting of
countable amenable groups both in the measure theoretic and topological setting.

Using L. Bowen's f-entropy we prove the addition theorem for finitely generated free groups.

To suggest a talk (yours, or someone elses), contact Jon. Aaronson: aaro at post dot tau dot ac dot il

Back to: Jon Aaronson's homepage.