Noninvertible Dynamical Systems Volume 2 Finer Thermodynamic Formalism Distance Expanding Maps And Countable State Subshifts Of Finite Type Conformal Gdmss Lasotayorke Maps And Fractal Geometry Mariusz Urbaski Mario Roy Sara Munday by Mariusz Urbański; Mario Roy; Sara Munday 9783110702699, 311070269X instant download after payment.

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.