Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry

Name: Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry
SKU: 35572838
Price: 469.00 NZD
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Hardback

Series:

de Gruyter Expositions in Mathematics

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Description

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.

Author Biography:

Mariusz Urbański, University of North Texas, USA; Mario Roy, York University, Toronto, Canada; Sara Munday, University of Pisa, Italy.

Release date NZ

June 6th, 2022

Author

Audience

Professional & Vocational

Illustrations

3 Illustrations, black and white

Pages

524

Series

de Gruyter Expositions in Mathematics

ISBN-13

9783110700619

Product ID

35572838

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