Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 3, Pages 209-218
doi:10.1155/S1048953397000270

Lyapunov exponents for higher dimensional random maps

P. Góra, A. Boyarsky, and Y. S. Lou

 Concordia University, Department of Mathematics, 7141 Sherbrooke Street West, Montreal H4B 1R6, Canada
Received 1 January 1997; Revised 1 June 1997

Abstract

A random map is a discrete time dynamical system in which one of a number of transformations is selected randomly and implemented. Random maps have been used recently to model interference effects in quantum physics. The main results of this paper deal with the Lyapunov exponents for higher dimensional random maps, where the individual maps are Jabloński maps on the n-dimensional cube.