Ergodic Theory and Dynamical Systems

Research Article

Fat baker's transformations

J. C. Alexandera1 and J. A. Yorkea2

a1 Department of Mathematics, University of Maryland, College Park, MD 20742, USA

a2 Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA

Abstract

We investigate a variant of the baker's transformation in which the mapping is onto but is not one-to-one. The Bowen-Ruelle measure for this map is investigated.

(Received May 05 1982)

(Revised December 02 1982)