Dimension Theory in Dynamical Systems: Contemporary Views and Applications

摘要: The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their but complicated geometric structure, which is the subject study dimension theory. And dynamics presence invariant fractals often results unstable "turbulent-like" motions associated with "chaotic" behaviour. In this book, Yakov Pesin introduces an area research that has recently appeared interface between theory dynamical systems. Focusing on influence stochastic properties systems, provides a comprehensive systematic treatment modern summarizes current state research, describes important accomplishments field.