Comprehensive introduction consisting of two parts the core of the theory and then the more advanced topics.[...]
The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic[...]
This book offers a unified introduction to the interplay of ergodic theory, hyperbolic dynamics, and dimension theory. Coverage includes intermediate level ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics.[...]