Noise-Induced Phenomena in Slow-Fast Dynamical Systems: A Sample-Paths Approach

Shastic differential equations play an increasingly important role in modeling the dynamics of a large variety of systems in the natural sciences, and in technological applications. This book is aimed at advanced undergraduate and graduate students, and researchers in mathematics, physics, the natural sciences, and engineering. It presents a new constructive approach to the quantitative description of solutions to systems of shastic differential equations evolving on well-separated timescal...