Ergodic Theory Open Dynamics And Coherent Structures

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Ergodic Theory, Open Dynamics, and Coherent Structures

Author : Wael Bahsoun
Publisher : Springer
ISBN 13 : 9781493904204
Total Pages : 227 pages
Book Rating : 4.9/5 (42 download)

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Book Synopsis Ergodic Theory, Open Dynamics, and Coherent Structures by : Wael Bahsoun

Download or read book Ergodic Theory, Open Dynamics, and Coherent Structures written by Wael Bahsoun and published by Springer. This book was released on 2014-05-03 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, numerical dynamical systems, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics. The volume will serve as a valuable reference for mathematicians, physicists, engineers, biologists and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open or non-equilibrium behavior.

Ergodic Theory, Open Dynamics, and Coherent Structures

Author : Wael Bahsoun
Publisher : Springer Science & Business
ISBN 13 : 1493904191
Total Pages : 240 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Ergodic Theory, Open Dynamics, and Coherent Structures by : Wael Bahsoun

Download or read book Ergodic Theory, Open Dynamics, and Coherent Structures written by Wael Bahsoun and published by Springer Science & Business. This book was released on 2014-05-02 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station. It contains contributions from world leading experts in ergodic theory, numerical dynamical systems, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics. The volume will serve as a valuable reference for mathematicians, physicists, engineers, biologists and climate scientists, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open or non-equilibrium behavior.

Dynamical Systems and Ergodic Theory

Author : Mark Pollicott
Publisher : Cambridge University Press
ISBN 13 : 9780521575997
Total Pages : 198 pages
Book Rating : 4.5/5 (759 download)

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Book Synopsis Dynamical Systems and Ergodic Theory by : Mark Pollicott

Download or read book Dynamical Systems and Ergodic Theory written by Mark Pollicott and published by Cambridge University Press. This book was released on 1998-01-29 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an essentially self contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a masters level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der waerden's theorem and szemerdi's theorem).

Ergodic Theory

Author : Idris Assani
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110460912
Total Pages : 170 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Ergodic Theory by : Idris Assani

Download or read book Ergodic Theory written by Idris Assani and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-06-20 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses recent advances in ergodic theory and dynamical systems. As a mixture of survey papers of active research areas and original research papers, this volume attracts young and senior researchers alike. Contents: Duality of the almost periodic and proximal relations Limit directions of a vector cocycle, remarks and examples Optimal norm approximation in ergodic theory The iterated Prisoner’s Dilemma: good strategies and their dynamics Lyapunov exponents for conservative twisting dynamics: a survey Takens’ embedding theorem with a continuous observable

Dynamics, Ergodic Theory and Geometry

Author : Boris Hasselblatt
Publisher : Cambridge University Press
ISBN 13 : 0521875412
Total Pages : 324 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Dynamics, Ergodic Theory and Geometry by : Boris Hasselblatt

Download or read book Dynamics, Ergodic Theory and Geometry written by Boris Hasselblatt and published by Cambridge University Press. This book was released on 2007-09-24 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop titled 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have experienced substantial progress. One of the major surveys is on symplectic geometry, which is closely related to classical mechanics and an exciting addition to modern geometry. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this book fascinating. The book also includes a fifty-page commented problem list that takes the reader beyond the areas covered by the surveys, to inspire and guide further research.

Ergodic Theory

Author : Cesar E. Silva
Publisher : Springer Nature
ISBN 13 : 1071623885
Total Pages : 707 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Ergodic Theory by : Cesar E. Silva

Download or read book Ergodic Theory written by Cesar E. Silva and published by Springer Nature. This book was released on 2023-07-31 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, covers recent developments in classical areas of ergodic theory, including the asymptotic properties of measurable dynamical systems, spectral theory, entropy, ergodic theorems, joinings, isomorphism theory, recurrence, nonsingular systems. It enlightens connections of ergodic theory with symbolic dynamics, topological dynamics, smooth dynamics, combinatorics, number theory, pressure and equilibrium states, fractal geometry, chaos. In addition, the new edition includes dynamical systems of probabilistic origin, ergodic aspects of Sarnak's conjecture, translation flows on translation surfaces, complexity and classification of measurable systems, operator approach to asymptotic properties, interplay with operator algebras

Dynamical Systems and Random Processes

Author : Jane Hawkins
Publisher : American Mathematical Soc.
ISBN 13 : 1470448319
Total Pages : 265 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Dynamical Systems and Random Processes by : Jane Hawkins

Download or read book Dynamical Systems and Random Processes written by Jane Hawkins and published by American Mathematical Soc.. This book was released on 2019-09-23 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 16th Carolina Dynamics Symposium, held from April 13–15, 2018, at Agnes Scott College, Decatur, Georgia. The papers cover various topics in dynamics and randomness, including complex dynamics, ergodic theory, topological dynamics, celestial mechanics, symbolic dynamics, computational topology, random processes, and regular languages. The intent is to provide a glimpse of the richness of the field and of the common threads that tie the different specialties together.

Ergodic Theory and Differentiable Dynamics

Author : Ricardo Mane
Publisher : Springer Science & Business Media
ISBN 13 : 3642703356
Total Pages : 328 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Ergodic Theory and Differentiable Dynamics by : Ricardo Mane

Download or read book Ergodic Theory and Differentiable Dynamics written by Ricardo Mane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This version differs from the Portuguese edition only in a few additions and many minor corrections. Naturally, this edition raised the question of whether to use the opportunity to introduce major additions. In a book like this, ending in the heart of a rich research field, there are always further topics that should arguably be included. Subjects like geodesic flows or the role of Hausdorff dimension in con temporary ergodic theory are two of the most tempting gaps to fill. However, I let it stand with practically the same boundaries as the original version, still believing these adequately fulfill its goal of presenting the basic knowledge required to approach the research area of Differentiable Ergodic Theory. I wish to thank Dr. Levy for the excellent translation and several of the correc tions mentioned above. Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory. Chapter 0, a quick review of measure theory, is included as a reference. Proofs are omitted, except for some results on derivatives with respect to sequences of partitions, which are not generally found in standard texts on measure and integration theory and tend to be lost within a much wider framework in more advanced texts.

Topological Methods in Data Analysis and Visualization IV

Author : Hamish Carr
Publisher : Springer
ISBN 13 : 3319446843
Total Pages : 355 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Topological Methods in Data Analysis and Visualization IV by : Hamish Carr

Download or read book Topological Methods in Data Analysis and Visualization IV written by Hamish Carr and published by Springer. This book was released on 2017-06-01 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis. Topological methods are broadly recognized as valuable tools for analyzing the ever-increasing flood of data generated by simulation or acquisition. This is particularly the case in scientific visualization, where the data sets have long since surpassed the ability of the human mind to absorb every single byte of data. The biannual TopoInVis workshop has supported researchers in this area for a decade, and continues to serve as a vital forum for the presentation and discussion of novel results in applications in the area, creating a platform to disseminate knowledge about such implementations throughout and beyond the community. The present volume, resulting from the 2015 TopoInVis workshop held in Annweiler, Germany, will appeal to researchers in the fields of scientific visualization and mathematics, domain scientists with an interest in advanced visualization methods, and developers of visualization software systems.

Ergodic Theory and Dynamical Systems I

Author : KATOK
Publisher : Springer Science & Business Media
ISBN 13 : 148996696X
Total Pages : 341 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Ergodic Theory and Dynamical Systems I by : KATOK

Download or read book Ergodic Theory and Dynamical Systems I written by KATOK and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Aspects of Turbulent Flows in Climate Dynamics

Author : Freddy Bouchet
Publisher : Oxford University Press
ISBN 13 : 0192597450
Total Pages : 240 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Fundamental Aspects of Turbulent Flows in Climate Dynamics by : Freddy Bouchet

Download or read book Fundamental Aspects of Turbulent Flows in Climate Dynamics written by Freddy Bouchet and published by Oxford University Press. This book was released on 2020-02-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, number 109 of the Les Houches Summer School series, presents the lectures held in August 2017 on the subject of turbulent flows in climate dynamics. Leading scientists in the fields of climate dynamics, atmosphere and ocean dynamics, geophysical fluid dynamics, physics and non-linear sciences present their views on this fast growing and interdisciplinary field of research, by venturing upon fundamental problems of atmospheric convection, clouds, large scale circulation, and predictability. Climate is controlled by turbulent flows. Turbulent motions are responsible for the bulk of the transport of energy, momentum, and water vapor in the atmosphere, which determine the distribution of temperature, winds, and precipitation on Earth. The aim of this book is to survey what is known about how turbulent flows control climate, what role they may play in climate change, and to outline where progress in this important area can be expected, given today's computational and observational capabilities. This book reviews the state-of-the-art developments in this field and provides an essential background to future studies. All chapters are written from a pedagogical perspective, making the book accessible to masters and PhD students and all researchers wishing to enter this field.

Ergodic Dynamics

Author : Jane Hawkins
Publisher : Springer Nature
ISBN 13 : 3030592421
Total Pages : 340 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Ergodic Dynamics by : Jane Hawkins

Download or read book Ergodic Dynamics written by Jane Hawkins and published by Springer Nature. This book was released on 2021-01-28 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applications complement the theory on topics ranging from financial fraud to virus dynamics, offering numerous avenues for further inquiry. Starting with several simple examples of dynamical systems, the book begins by establishing the basics of measurable dynamical systems, attractors, and the ergodic theorems. From here, chapters are modular and can be selected according to interest. Highlights include the Perron–Frobenius theorem, which is presented with proof and applications that include Google PageRank. An in-depth exploration of invariant measures includes ratio sets and type III measurable dynamical systems using the von Neumann factor classification. Topological and measure theoretic entropy are illustrated and compared in detail, with an algorithmic application of entropy used to study the papillomavirus genome. A chapter on complex dynamics introduces Julia sets and proves their ergodicity for certain maps. Cellular automata are explored as a series of case studies in one and two dimensions, including Conway’s Game of Life and latent infections of HIV. Other chapters discuss mixing properties, shift spaces, and toral automorphisms. Ergodic Dynamics unifies topics across ergodic theory, topological dynamics, complex dynamics, and dynamical systems, offering an accessible introduction to the area. Readers across pure and applied mathematics will appreciate the rich illustration of the theory through examples, real-world connections, and vivid color graphics. A solid grounding in measure theory, topology, and complex analysis is assumed; appendices provide a brief review of the essentials from measure theory, functional analysis, and probability.

Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Author : Bernold Fiedler
Publisher : Springer Science & Business Media
ISBN 13 : 3642565891
Total Pages : 816 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems by : Bernold Fiedler

Download or read book Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems written by Bernold Fiedler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.

Lectures on Ergodic Theory

Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486814890
Total Pages : 113 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Lectures on Ergodic Theory by : Paul R. Halmos

Download or read book Lectures on Ergodic Theory written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2017-12-13 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 painlessly presented." Suitable for advanced undergraduates and graduate students in mathematics, the treatment covers recurrence, mean and pointwise convergence, ergodic theorem, measure algebras, and automorphisms of compact groups. Additional topics include weak topology and approximation, uniform topology and approximation, invariant measures, unsolved problems, and other subjects.

Advances in Dynamics, Optimization and Computation

Author : Oliver Junge
Publisher : Springer Nature
ISBN 13 : 3030512649
Total Pages : 402 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advances in Dynamics, Optimization and Computation by : Oliver Junge

Download or read book Advances in Dynamics, Optimization and Computation written by Oliver Junge and published by Springer Nature. This book was released on 2020-07-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of papers on recent advances in problems concerning dynamics, optimal control and optimization. In many chapters, computational techniques play a central role. Set-oriented techniques feature prominently throughout the book, yielding state-of-the-art algorithms for computing general invariant sets, constructing globally optimal controllers and solving multi-objective optimization problems.

Ergodic Theory

Author : I. P. Cornfeld
Publisher : Springer Science & Business Media
ISBN 13 : 1461569273
Total Pages : 487 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Ergodic Theory by : I. P. Cornfeld

Download or read book Ergodic Theory written by I. P. Cornfeld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy.

Ergodic Theory and Dynamical Systems

Author : Yves Coudène
Publisher : Springer
ISBN 13 : 1447172876
Total Pages : 192 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Ergodic Theory and Dynamical Systems by : Yves Coudène

Download or read book Ergodic Theory and Dynamical Systems written by Yves Coudène and published by Springer. This book was released on 2016-11-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics. This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors. Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.