Thermodynamic Formalism and Applications to Dimension Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thermodynamic Formalism and Applications to Dimension Theory write by Luis Barreira. This book was released on 2011-08-24. Thermodynamic Formalism and Applications to Dimension Theory available in PDF, EPUB and Kindle. This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.
A Non-additive Thermodynamic Formalism and Applications to the Dimension Theory of Hyperbolic Dynamics
A Non-additive Thermodynamic Formalism and Applications to the Dimension Theory of Hyperbolic Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Non-additive Thermodynamic Formalism and Applications to the Dimension Theory of Hyperbolic Dynamics write by Luis Barreira. This book was released on 1995. A Non-additive Thermodynamic Formalism and Applications to the Dimension Theory of Hyperbolic Dynamics available in PDF, EPUB and Kindle.
Thermodynamic Formalism
Thermodynamic Formalism - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thermodynamic Formalism write by Mark Pollicott. This book was released on 2021-10-01. Thermodynamic Formalism available in PDF, EPUB and Kindle. This volume arose from a semester at CIRM-Luminy on “Thermodynamic Formalism: Applications to Probability, Geometry and Fractals” which brought together leading experts in the area to discuss topical problems and recent progress. It includes a number of surveys intended to make the field more accessible to younger mathematicians and scientists wishing to learn more about the area. Thermodynamic formalism has been a powerful tool in ergodic theory and dynamical system and its applications to other topics, particularly Riemannian geometry (especially in negative curvature), statistical properties of dynamical systems and fractal geometry. This work will be of value both to graduate students and more senior researchers interested in either learning about the main ideas and themes in thermodynamic formalism, and research themes which are at forefront of research in this area.
Thermodynamic Formalism and Holomorphic Dynamical Systems
Thermodynamic Formalism and Holomorphic Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Thermodynamic Formalism and Holomorphic Dynamical Systems write by Michel Zinsmeister. This book was released on 2000. Thermodynamic Formalism and Holomorphic Dynamical Systems available in PDF, EPUB and Kindle. The purpose of thermodynamics and statistical physics is to understand the equilibrium of a gas or the different states of matter. To understand the strange fractal sets appearing when one iterates a quadratic polynomial is one of the goals of the theory of holomorphic dynamical systems. These two theories are strongly linked: The laws of thermodynamics happen to be an extremely powerful tool for understanding the objects of holomorphic dynamical systems. A "thermodynamic formalism" has been developed, bringing together notions that are a priori unrelated. While the deep reasons of this parallelism remain unknown, the goal of this book is to describe this formalism both from the physical and mathematical point of view in order to understand how it works and how useful it can be. This translation is a slightly revised version of the original French edition. The main changes are in Chapters 5 and 6 and consist of clarification of some proofs and a new presentation of the basics in iteration of polynomials.
Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry
Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry write by Mariusz Urbański. This book was released on 2022-06-06. Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry available in PDF, EPUB and Kindle. 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.
