Entropy of a skew product with a Z²-action

Kyewon Koh Park

Vol. 172 (1996), No. 1, 227–241

DOI: 10.2140/pjm.1996.172.227

Abstract

We consider the entropy of a dynamical system of a skew product T on X₁xX₂ where there is a Z²-action on the fiber X₂. If the Z²-action comes from a Cellular Automaton map, then the contribution of the fiber to the entropy of the skew product is the directional entropy in the direction of the integral of a skewing function φ from X₁ to Z².

Mathematical Subject Classification 2000

Primary: 28D15

Milestones

Received: 10 February 1993

Revised: 24 June 1993

Published: 1 January 1996