THE FOGUEL ALTERNATIVE AND SWEEPING FOR AN INTERMITTENT MAP WITH MULTIPLICATIVE NOISE

  • Yukiko Iwata
Keywords: random dynamical systems, Foguel alternative theorem, sweeping

Abstract

We consider Markov operators which represent a density function of random perturbations of an intermittent map with multiplicative noise. In this paper, we give a class of intermittent maps for which the Foguel Alternative theorem holds. Actually, we prove that Markov operators are sweeping under certain conditions.

Published
2020-02-07