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
Concordia University, Department of Mathematics, 7141 Sherbrooke Street West, Montreal H4B 1R6, Canada
Received 1 January 1997; Revised 1 June 1997
Copyright © 1997 P. Góra et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.