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Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics) de Marcelo Viana,Krerley Oliveira
Descripción - Críticas 'The book provides the student or researcher with an excellent reference and/or base from which to move into current research in ergodic theory. This book would make an excellent text for a graduate course on ergodic theory.' Douglas P. Dokken, Mathematical Reviews'… Viana and Oliveira have written yet another excellent textbook! It may be fruitfully used to guide a graduate course in dynamical systems, or a topics seminar at either advanced undergraduate or early graduate levels. The book is designed so that the instructor may cull a variety of courses from its contents. The authors deserve special kudos for their collection of over 400 exercises, many with hints and solutions at the end of the book. As a further bonus, if only to pique the reader's interest, a number of recent research results and open problems are sprinkled throughout the book.' Tushar Das, MAA Reivews Reseña del editor Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students – invariance, recurrence and ergodicity – as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book. Descripción del libro Rich with examples, applications and over 400 exercises, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. It requires few prerequisites, beginning with elementary material suitable for undergraduate students and gradually building up to more sophisticated topics. Biografía del autor Marcelo Viana is Professor of Mathematics at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, and a leading research expert in ergodic theory and dynamical systems. He has served in several academic organizations, such as the International Mathematical Union (Vice President, 2011–2014), the Brazilian Mathematical Society (President, 2013–2015), the Latin American Mathematical Union (Scientific Coordinator, 2001–2008) and the newly founded Mathematical Council of the Americas. He is also a member of the academies of science of Brazil, Portugal, Chile and the Developing World, and he has received several academic distinctions, including the Grand Croix of Scientific Merit, granted by the President of Brazil, in 2000, and the Ramanujan Prize of ICTP and IMU in 2005. He was an Invited Speaker at the International Congress of Mathematicians in Zurich (1994), a Plenary Speaker at the International Congress of Mathematical Physics (1994), and a Plenary Speaker at the ICM in Berlin (1998). To date, he has supervised thirty-two doctoral theses. Currently, he leads the organization of the ICM 2018 in Rio de Janeiro, and he is also involved in initiatives to improve mathematical education in his country.Krerley Oliveira is Associate Professor at the Universidade Federal de Alagoas (UFAL), Brazil, where he founded the graduate program in mathematics and the State of Alagoas Math Olympiad program, where he promotes young talent for mathematics. He was a medalist at the Brazilian Mathematical Olympiad (1996) and twice at the Iberoamerican Mathematical Olympiad for university students (1999 and 2000). He was elected an Affiliate Member of the Brazilian Academy of Sciences (2007–2012) and his research is focused on dynamical systems and ergodic theory.
Detalles del Libro
- Name: Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics)
- Autor: Marcelo Viana,Krerley Oliveira
- Categoria: Libros,Ciencias, tecnología y medicina,Física
- Tamaño del archivo: 17 MB
- Tipos de archivo: PDF Document
- Idioma: Español
- Archivos de estado: AVAILABLE
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Foundations of Ergodic Theory - Cambridge University Press ~ CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 151 Editorial Board B. BOLLOBAS, W. FULTON, A. KATOK, F. KIRWAN,´ P. SARNAK, B. SIMON, B. TOTARO Foundations of Ergodic Theory Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory suitable for a variety of one- or two-semester courses.
Foundations of Ergodic Theory (Cambridge Studies in ~ Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 151) - Kindle edition by Viana, Marcelo, Oliveira, Krerley. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 151).
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Foundations of ergodic theory (eBook, 2016) [WorldCat] ~ Get this from a library! Foundations of ergodic theory. [Marcelo Viana; Krerley Oliveira] -- Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear .
Foundations of Ergodic Theory by Marcelo Viana ~ Cambridge Core - Abstract Analysis - Foundations of Ergodic Theory - by Marcelo Viana. Skip to main content Accessibility help . An outline of ergodic theory, volume 122 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, 2010. [Kok35] J. F., Koksma.
Foundations of Ergodic Theory (Cambridge Studies in ~ Foundations of Ergodic Theory (Cambridge Studies in Advanced Mathematics) 1st Edition by Marcelo Viana (Author), Krerley Oliveira (Author) ISBN-13: 978-1107126961. ISBN-10: 1107126967. Why is ISBN important? ISBN. This bar-code number lets you verify that you're getting .
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Ergodic theory - Wikipedia ~ Ergodic theory is often concerned with ergodic transformations.The intuition behind such transformations, which act on a given set, is that they do a thorough job "stirring" the elements of that set (e.g., if the set is a quantity of hot oatmeal in a bowl, and if a spoonful of syrup is dropped into the bowl, then iterations of the inverse of an ergodic transformation of the oatmeal will not .
AN OUTLINE OF ERGODIC THEORY - Cambridge University Press ~ CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 122 Editorial Board B. BOLLOBÁS, W. FULTON, A. KATOK, F. KIRWAN, P. SARNAK, B. SIMON, B. TOTARO AN OUTLINE OF ERGODIC THEORY This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two
Ergodic Theory and Dynamical Systems / Cambridge Core ~ Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field.
Ergodic Theory: With a View Towards Number Theory Graduate ~ Ergodic Theory: With a View Towards Number Theory Graduate Texts in Mathematics: : Ward, Thomas, Einsiedler, Manfred: Libros en idiomas extranjeros
Lectures on Ergodic Theory: Halmos, Paul R: .mx ~ This concise classic by Paul R. Halmos, a well-known master of mathematical exposition, has served as a basic introduction to aspects of ergodic theory since its first publication in 1956. "The book is written in the pleasant, relaxed, and clear style usually associated with the author," noted the Bulletin of the American Mathematical Society, adding, "The material is organized very well and .
textbook recommendation - Ergodic theory and dynamical ~ Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen. Introduction to the Modern Theory of Dynamical Systems (Encyclopedia of Mathematics and its Applications) by Anatole Katok and Boris Hasselblatt. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Lecture Notes in Mathematics) by Robert Edward .
ERGODIC THEORY (Cambridge Studies in Advanced Mathematics ~ (Cambridge University Press, 1983.) ERGODIC THEORY (Cambridge Studies in Advanced Mathematics, 2) - Newton - 1984 - Bulletin of the London Mathematical Society - Wiley Online Library Skip to Article Content
An Introduction to Ergodic Theory;Problem Books in ~ An Introduction to Ergodic Theory;Problem Books in Mathematics: Walters, Peter: .mx: Libros
Ergodic theory - wikidoc ~ Ergodic theory, symbolic dynamics and hyperbolic spaces. Oxford University Press. ISBN 0-19-853390-X. (A survey of topics in ergodic theory; with exercises.) Karl Petersen. Ergodic Theory (Cambridge Studies in Advanced Mathematics). Cambridge: Cambridge University Press. 1990.
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A Short Introduction to Ergodic Theory and Its ~ Petersen K., Ergodic Theory, Cambridge Studies in Advanced Mathematics 2 ( Cambridge University Press, Cambridge, 1989 ) pp. 1 – 329. Google Scholar Queffélec M., Substitution dynamical systems — Spectral analysis, Lecture Notes in Math. 1294 ( Springer Verlag, Berlin, 1987 ) pp. 1 – 240.
Ergodic Theory: Basic Examples and Constructions ~ Petersen K (1989) Ergodic Theory, Cambridge Studies in Advanced Mathematics, vol 2. Cambridge University Press, Cambridge. corrected reprint of the 1983 original. MR 1073173 (92c:28010) Google Scholar
FoundationsofErgodicTheory ~ kinetic theory of gases, are ergodic or not. The foundations were set in the 1930’s, when J. von Neumann and G. D. Birkhoff proved that time averages are indeed well defined for almost every orbit. However, in the mid 1950’s, the great Russian mathematician A. N. Kolmogorov observed that many Hamiltonian systems are actually not ergodic.
Ergodic Theory - University Intranet ~ P. Walters, An Introduction to Ergodic Theory, Graduate Texts in Mathematics, Springer-Verlag, 1982 (softcover edition 2000). K. Petersen, Ergodic Theory, Cambridge Studies in Advanced Mathematics, Cambridge University Press, 1983. W. Parry, Topics in Ergodic Theory, Cambridge Tracts in Mathematics, Cambridge University Press, 1981.
An Introduction to Ergodic Theory PDF Peter Walters ~ This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties .
Ergodic theory and dynamical systems – Department of ~ Our main result is that cocompact lattices in simple Lie groups of higher rank are not left-orderable groups (as a consequence, do not act by homeomorphisms in the line or the circle), a conjecture due to Witte-Morris and Ghys. The proof makes use of of higher-rank hyperbolic dynamics and some basic notions in infinite ergodic theory.
Ergodic Theory (Lecture Notes) ~ Ergodic theory lies in somewhere among measure theory, analysis, proba-bility, dynamical systems, and di⁄erential equations and can be motivated from many di⁄erent angles. We will choose one speci–c point of view but there are many others. Let x_ = f (x) be an ordinary di⁄erential equation. The problem of studying di⁄erential