ABSTRACT

This book is devoted to the study of random dynamical systems (RDS) and their applications in finance. The theory of RDS, developed by L. Arnold and co-workers, can be used to describe the asymptotic and qualitative behavior of systems of random and stochastic differential/difference equation in terms of stability, invariant manifolds, attractors, etc. Usually, a RDS consists of two parts: the first part is a model for the noise path, leading to a RDS, and the second part is the dynamics of a model.