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 and Applications to Dimension Theory
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.
Ergodic Theory, Hyperbolic Dynamics and Dimension Theory
Ergodic Theory, Hyperbolic Dynamics and 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 Ergodic Theory, Hyperbolic Dynamics and Dimension Theory write by Luís Barreira. This book was released on 2012-04-28. Ergodic Theory, Hyperbolic Dynamics and Dimension Theory available in PDF, EPUB and Kindle. Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-level introduction to the third. Furthermore, it includes an introduction to the thermodynamic formalism, which is an important tool in dimension theory. The volume is primarily intended for graduate students interested in dynamical systems, as well as researchers in other areas who wish to learn about ergodic theory, thermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be used as a basis for graduate courses on any of these three subjects. The text can also be used for self-study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailed proofs.
Dimension Theory of Hyperbolic Flows
Dimension Theory of Hyperbolic Flows - 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 Dimension Theory of Hyperbolic Flows write by Luís Barreira. This book was released on 2013-06-12. Dimension Theory of Hyperbolic Flows available in PDF, EPUB and Kindle. The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essential to characterizing chaotic strange attractors. To date, some parts of the theory have either only been outlined, because they can be reduced to the case of maps, or are too technical for a wider audience. In this respect, the present monograph is intended to provide a comprehensive guide. Moreover, the text is self-contained and with the exception of some basic results in Chapters 3 and 4, all the results in the book include detailed proofs. The book is intended for researchers and graduate students specializing in dynamical systems who wish to have a sufficiently comprehensive view of the theory together with a working knowledge of its main techniques. The discussion of some open problems is also included in the hope that it may lead to further developments. Ideally, readers should have some familiarity with the basic notions and results of ergodic theory and hyperbolic dynamics at the level of an introductory course in the area, though the initial chapters also review all the necessary material.
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.
