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Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal Gdmss, Lasota-Yorke Maps and Fractal G

Finer Thermodynamic Formalism - Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal Gdmss, Lasota-Yorke Maps and Fractal G

Hardcover

Series: de Gruyter Expositions in Mathematics, Book 69

General MathematicsGeometryProbability & Statistics

ISBN10: 3110700611
ISBN13: 9783110700619
Publisher: De Gruyter
Published: Jun 6 2022
Pages: 524
Weight: 2.27
Height: 1.13 Width: 6.69 Depth: 9.61
Language: English

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.

Also from

Urbański, Mariusz

Also in

General Mathematics