This book consists of three volumes. The first volume contains introductory accounts of
topological dynamical systems fi nite-state symbolic dynamics distance expanding maps and
ergodic theory of metric dynamical systems acting on probability measure spaces including
metric entropy theory of Kolmogorov and Sinai. More advanced topics comprise infi nite ergodic
theory general thermodynamic formalism topological entropy and pressure. Thermodynamic
formalism of distance expanding maps and countable-alphabet subshifts of fi nite type graph
directed Markov systems conformal expanding repellers and Lasota-Yorke maps are treated in
the second volume which also contains a chapter on fractal geometry and its applications to
conformal systems. Multifractal analysis and real analyticity of pressure are also covered. The
third volume is devoted to the study of dynamics ergodic theory thermodynamic formalism and
fractal geometry of rational functions of the Riemann sphere.
