Ergodicity 3rd Edition

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Ergodicity (3rd edition)

Author : Luca Dellanna
Publisher : Luca Dell'anna
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (661 download)

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Book Synopsis Ergodicity (3rd edition) by : Luca Dellanna

Download or read book Ergodicity (3rd edition) written by Luca Dellanna and published by Luca Dell'anna. This book was released on 2020-11-08 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some reviews of Luca's previous books "This book is like a magnificent suspension bridge, linking the science of the human brain to the practical craft of applying it in everyday life. I loved it." – Rory Sutherland, Ogilvy's Vice Chairman “So insightful with common sense applications of Complexity and the ability to communicate clearly!!” – Bob Klapetzky. “A SUPERB book [...] by one of the profound thinkers in our field [behavioral economics].” – Michal G. Bartlett What's ergodicity, and why it matters? "The Most Important Property to Understand in Probability, in Life, in Anything." – Nassim Nicholas Taleb on ergodicity. "I think the most under-rated idea is ergodicity." – David Perell, author. Is ergodicity the most important concept in decision-making and behavioral sciences? (Yes.) Is it relevant for you in your daily life? (Yes.) Is it possible to explain it so simply that a grandma or a high-schooler can understand it? (Yes.) Even if they know nothing about maths? (Yes.) That's because ergodicity is an important idea with so many practical applications. Sadly, most books describe it in a very technical way, making it inaccessible to most people. In this short book, 6-times author Luca Dellanna describes ergodicity as simply as possible. You will read stories about how not knowing about it destroyed his cousin’s career as a skier, or how misunderstanding it caused additional deaths during the pandemic. You will learn how to spot situations in which ergodicity matters and the three strategies to react appropriately. The book is approximately 169 pages long, of which 143 are pure content and the rest tables of content, etc. Who is this book for? This book is for readers interested in growing themselves, their career, or their business, and who want to learn about ergodicity and its practical applications without having to understand its mathematical foundation. No mathematical knowledge is required, only a high-school level understanding of English. Readers who want to master the theory and mathematical foundation of ergodicity are better off reading a more formal manuscript. This book is not a substitute for it, but a complement. About the author Luca Dellanna is the author of 6 books. He is a researcher in complexity science and emergent behaviors, and an operational excellence consultant. He spoke at Nudgestock and regularly teaches risk management in masters. His personal website is Luca-Dellanna.com and his Twitter is @DellAnnaLuca.

Random Seas And Design Of Maritime Structures (3rd Edition)

Author : Yoshimi Goda
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101024
Total Pages : 733 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Random Seas And Design Of Maritime Structures (3rd Edition) by : Yoshimi Goda

Download or read book Random Seas And Design Of Maritime Structures (3rd Edition) written by Yoshimi Goda and published by World Scientific Publishing Company. This book was released on 2010-06-23 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random waves are the most important constituent of the sea environment, as they make the design of maritime structures quite different from that of structures on land. In this book, the concept of random waves for the design of breakwaters, seawalls, and harbor structures is fully explored for easy comprehension by practicing engineers. Theoretical aspects are also discussed in detail for further studies by graduate students and researchers.

Computational Ergodic Theory

Author : Geon Ho Choe
Publisher : Springer Science & Business Media
ISBN 13 : 3540231218
Total Pages : 468 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Computational Ergodic Theory by : Geon Ho Choe

Download or read book Computational Ergodic Theory written by Geon Ho Choe and published by Springer Science & Business Media. This book was released on 2005-02-11 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, against numerical output using some of the ideas in the book. One last remark: The last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students to gain an understanding of the digital technology that has shaped the modern information society.

Operator Theoretic Aspects of Ergodic Theory

Author : Tanja Eisner
Publisher : Springer
ISBN 13 : 3319168983
Total Pages : 630 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Operator Theoretic Aspects of Ergodic Theory by : Tanja Eisner

Download or read book Operator Theoretic Aspects of Ergodic Theory written by Tanja Eisner and published by Springer. This book was released on 2015-11-18 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory. Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of notions of isomorphism for measure-preserving systems • Markov operators, and the related concept of a factor of a measure preserving system • compact groups and semigroups, and a powerful tool in their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, theorems of Roth and Furstenberg–Sárközy) Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

Statistical Inference for Ergodic Diffusion Processes

Author : Yury A. Kutoyants
Publisher : Springer Science & Business Media
ISBN 13 : 144713866X
Total Pages : 493 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Statistical Inference for Ergodic Diffusion Processes by : Yury A. Kutoyants

Download or read book Statistical Inference for Ergodic Diffusion Processes written by Yury A. Kutoyants and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book in inference for stochastic processes from a statistical, rather than a probabilistic, perspective. It provides a systematic exposition of theoretical results from over ten years of mathematical literature and presents, for the first time in book form, many new techniques and approaches.

Smooth Ergodic Theory of Random Dynamical Systems

Author : Pei-Dong Liu
Publisher : Springer
ISBN 13 : 3540492917
Total Pages : 233 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Smooth Ergodic Theory of Random Dynamical Systems by : Pei-Dong Liu

Download or read book Smooth Ergodic Theory of Random Dynamical Systems written by Pei-Dong Liu and published by Springer. This book was released on 2006-11-14 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.

Topics in Harmonic Analysis and Ergodic Theory

Author : Joseph Rosenblatt
Publisher : American Mathematical Soc.
ISBN 13 : 0821842358
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topics in Harmonic Analysis and Ergodic Theory by : Joseph Rosenblatt

Download or read book Topics in Harmonic Analysis and Ergodic Theory written by Joseph Rosenblatt and published by American Mathematical Soc.. This book was released on 2007 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.

Ergodic Behavior of Markov Processes

Author : Alexei Kulik
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110458713
Total Pages : 316 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Ergodic Behavior of Markov Processes by : Alexei Kulik

Download or read book Ergodic Behavior of Markov Processes written by Alexei Kulik and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-11-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents Part I: Ergodic Rates for Markov Chains and Processes Markov Chains with Discrete State Spaces General Markov Chains: Ergodicity in Total Variation MarkovProcesseswithContinuousTime Weak Ergodic Rates Part II: Limit Theorems The Law of Large Numbers and the Central Limit Theorem Functional Limit Theorems

Nilpotent Structures in Ergodic Theory

Author : Bernard Host
Publisher : American Mathematical Soc.
ISBN 13 : 1470447800
Total Pages : 442 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nilpotent Structures in Ergodic Theory by : Bernard Host

Download or read book Nilpotent Structures in Ergodic Theory written by Bernard Host and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nilsystems play a key role in the structure theory of measure preserving systems, arising as the natural objects that describe the behavior of multiple ergodic averages. This book is a comprehensive treatment of their role in ergodic theory, covering development of the abstract theory leading to the structural statements, applications of these results, and connections to other fields. Starting with a summary of the relevant dynamical background, the book methodically develops the theory of cubic structures that give rise to nilpotent groups and reviews results on nilsystems and their properties that are scattered throughout the literature. These basic ingredients lay the groundwork for the ergodic structure theorems, and the book includes numerous formulations of these deep results, along with detailed proofs. The structure theorems have many applications, both in ergodic theory and in related fields; the book develops the connections to topological dynamics, combinatorics, and number theory, including an overview of the role of nilsystems in each of these areas. The final section is devoted to applications of the structure theory, covering numerous convergence and recurrence results. The book is aimed at graduate students and researchers in ergodic theory, along with those who work in the related areas of arithmetic combinatorics, harmonic analysis, and number theory.

One-Dimensional Ergodic Schrödinger Operators

Author : David Damanik
Publisher : American Mathematical Society
ISBN 13 : 1470456060
Total Pages : 464 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis One-Dimensional Ergodic Schrödinger Operators by : David Damanik

Download or read book One-Dimensional Ergodic Schrödinger Operators written by David Damanik and published by American Mathematical Society. This book was released on 2022-08-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setting includes many models of physical interest, including those operators that model crystals, disordered media, or quasicrystals. This field has seen substantial progress in recent decades, much of which has yet to be discussed in textbooks. Beginning with a refresher on key topics in spectral theory, this volume presents the basic theory of discrete one-dimensional Schrödinger operators with dynamically defined potentials. It also includes a self-contained introduction to the relevant aspects of ergodic theory and topological dynamics. This text is accessible to graduate students who have completed one-semester courses in measure theory and complex analysis. It is intended to serve as an introduction to the field for junior researchers and beginning graduate students as well as a reference text for people already working in this area. It is well suited for self-study and contains numerous exercises (many with hints).

An Introduction to Ergodic Theory

Author : Peter Walters
Publisher : Springer Science & Business Media
ISBN 13 : 9780387951522
Total Pages : 268 pages
Book Rating : 4.9/5 (515 download)

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Book Synopsis An Introduction to Ergodic Theory by : Peter Walters

Download or read book An Introduction to Ergodic Theory written by Peter Walters and published by Springer Science & Business Media. This book was released on 2000-10-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Several examples are detailed, and the final chapter outlines results and applications of ergodic theory to other branches of mathematics.

Ergodic Theory

Author : Idris Assani
Publisher : American Mathematical Soc.
ISBN 13 : 0821846493
Total Pages : 171 pages
Book Rating : 4.8/5 (218 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 American Mathematical Soc.. This book was released on 2009 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers written by participants at the two Chapel Hill Ergodic Theory Workshops organized in February 2007 and 2008. The topics covered by these papers help to illustrate the interaction between ergodic theory and related fields such as harmonic analysis, number and probability theories.

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

An Ergodic IP Polynomial Szemeredi Theorem

Author : Vitaly Bergelson
Publisher : American Mathematical Soc.
ISBN 13 : 0821826573
Total Pages : 121 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis An Ergodic IP Polynomial Szemeredi Theorem by : Vitaly Bergelson

Download or read book An Ergodic IP Polynomial Szemeredi Theorem written by Vitaly Bergelson and published by American Mathematical Soc.. This book was released on 2000 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove a polynomial multiple recurrence theorem for finitely many commuting measure preserving transformations of a probability space, extending a polynomial Szemerédi theorem appearing in [BL1]. The linear case is a consequence of an ergodic IP-Szemerédi theorem of Furstenberg and Katznelson ([FK2]). Several applications to the fine structure of recurrence in ergodic theory are given, some of which involve weakly mixing systems, for which we also prove a multiparameter weakly mixing polynomial ergodic theorem. The techniques and apparatus employed include a polynomialization of an IP structure theory developed in [FK2], an extension of Hindman's theorem due to Milliken and Taylor ([M], [T]), a polynomial version of the Hales-Jewett coloring theorem ([BL2]), and a theorem concerning limits of polynomially generated IP-systems of unitary operators ([BFM]).

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

Ergodic Theory and Its Connection with Harmonic Analysis

Author : Karl Endel Petersen
Publisher : Cambridge University Press
ISBN 13 : 0521459990
Total Pages : 452 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Ergodic Theory and Its Connection with Harmonic Analysis by : Karl Endel Petersen

Download or read book Ergodic Theory and Its Connection with Harmonic Analysis written by Karl Endel Petersen and published by Cambridge University Press. This book was released on 1995 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tutorial survey papers on important areas of ergodic theory, with related research papers.

Convergence in Ergodic Theory and Probability

Author : Vitaly Bergelson
Publisher : Walter de Gruyter
ISBN 13 : 3110889382
Total Pages : 461 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Convergence in Ergodic Theory and Probability by : Vitaly Bergelson

Download or read book Convergence in Ergodic Theory and Probability written by Vitaly Bergelson and published by Walter de Gruyter. This book was released on 2011-06-15 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.