Non-homogeneous Random Walks

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Publisher : Cambridge University Press
ISBN 13 : 1316867366
Total Pages : 423 pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis Non-homogeneous Random Walks by : Mikhail Menshikov

Download or read book Non-homogeneous Random Walks written by Mikhail Menshikov and published by Cambridge University Press. This book was released on 2016-12-22 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototypical near-critical systems.

Non-homogeneous Random Walks

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Publisher :
ISBN 13 : 9781316868805
Total Pages : 384 pages
Book Rating : 4.8/5 (688 download)

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Book Synopsis Non-homogeneous Random Walks by : Mikhail Menshikov

Download or read book Non-homogeneous Random Walks written by Mikhail Menshikov and published by . This book was released on 2016 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern presentation of the 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks.

Non-homogeneous Random Walks

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Publisher :
ISBN 13 : 9781316868980
Total Pages : 363 pages
Book Rating : 4.8/5 (689 download)

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Book Synopsis Non-homogeneous Random Walks by : Mikhail Vasilʹevich Menʹshikov

Download or read book Non-homogeneous Random Walks written by Mikhail Vasilʹevich Menʹshikov and published by . This book was released on 2017 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Homogeneous Markov Chains and Systems

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Publisher : CRC Press
ISBN 13 : 135198070X
Total Pages : 607 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Non-Homogeneous Markov Chains and Systems by : P.-C.G. Vassiliou

Download or read book Non-Homogeneous Markov Chains and Systems written by P.-C.G. Vassiliou and published by CRC Press. This book was released on 2022-12-21 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Homogeneous Markov Chains and Systems: Theory and Applications fulfills two principal goals. It is devoted to the study of non-homogeneous Markov chains in the first part, and to the evolution of the theory and applications of non-homogeneous Markov systems (populations) in the second. The book is self-contained, requiring a moderate background in basic probability theory and linear algebra, common to most undergraduate programs in mathematics, statistics, and applied probability. There are some advanced parts, which need measure theory and other advanced mathematics, but the readers are alerted to these so they may focus on the basic results. Features A broad and accessible overview of non-homogeneous Markov chains and systems Fills a significant gap in the current literature A good balance of theory and applications, with advanced mathematical details separated from the main results Many illustrative examples of potential applications from a variety of fields Suitable for use as a course text for postgraduate students of applied probability, or for self-study Potential applications included could lead to other quantitative areas The book is primarily aimed at postgraduate students, researchers, and practitioners in applied probability and statistics, and the presentation has been planned and structured in a way to provide flexibility in topic selection so that the text can be adapted to meet the demands of different course outlines. The text could be used to teach a course to students studying applied probability at a postgraduate level or for self-study. It includes many illustrative examples of potential applications, in order to be useful to researchers from a variety of fields.

Two-Dimensional Random Walk

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Publisher : Cambridge University Press
ISBN 13 : 1108472451
Total Pages : 224 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Two-Dimensional Random Walk by : Serguei Popov

Download or read book Two-Dimensional Random Walk written by Serguei Popov and published by Cambridge University Press. This book was released on 2021-03-18 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.

Stochastic Models of Structural Plasma Turbulence

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Publisher : Walter de Gruyter
ISBN 13 : 9789067644495
Total Pages : 424 pages
Book Rating : 4.6/5 (444 download)

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Book Synopsis Stochastic Models of Structural Plasma Turbulence by : Victor Yu Korolev

Download or read book Stochastic Models of Structural Plasma Turbulence written by Victor Yu Korolev and published by Walter de Gruyter. This book was released on 2006 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Random Walks and Geometry

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Publisher : Walter de Gruyter
ISBN 13 : 3110198088
Total Pages : 545 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Random Walks and Geometry by : Vadim Kaimanovich

Download or read book Random Walks and Geometry written by Vadim Kaimanovich and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik.

Asymptotic Analysis of Random Walks

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Publisher : Cambridge University Press
ISBN 13 : 1108901204
Total Pages : 437 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Asymptotic Analysis of Random Walks by : A. A. Borovkov

Download or read book Asymptotic Analysis of Random Walks written by A. A. Borovkov and published by Cambridge University Press. This book was released on 2020-10-29 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a companion book to Asymptotic Analysis of Random Walks: Heavy-Tailed Distributions by A.A. Borovkov and K.A. Borovkov. Its self-contained systematic exposition provides a highly useful resource for academic researchers and professionals interested in applications of probability in statistics, ruin theory, and queuing theory. The large deviation principle for random walks was first established by the author in 1967, under the restrictive condition that the distribution tails decay faster than exponentially. (A close assertion was proved by S.R.S. Varadhan in 1966, but only in a rather special case.) Since then, the principle has always been treated in the literature only under this condition. Recently, the author jointly with A.A. Mogul'skii removed this restriction, finding a natural metric for which the large deviation principle for random walks holds without any conditions. This new version is presented in the book, as well as a new approach to studying large deviations in boundary crossing problems. Many results presented in the book, obtained by the author himself or jointly with co-authors, are appearing in a monograph for the first time.

Applications of Hypergroups and Related Measure Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802976
Total Pages : 441 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Applications of Hypergroups and Related Measure Algebras by : Marc-Olivier Gebuhrer

Download or read book Applications of Hypergroups and Related Measure Algebras written by Marc-Olivier Gebuhrer and published by American Mathematical Soc.. This book was released on 1995-02-27 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``The most important single thing about this conference was that it brought together for the first time representatives of all major groups of users of hypergroups. [They] talked to each other about how they were using hypergroups in fields as diverse as special functions, probability theory, representation theory, measure algebras, Hopf algebras, and Hecke algebras. This led to fireworks.''--from the Introduction Hypergroups occur in a wide variety of contexts, and mathematicians the world over have been discovering this same mathematical structure hidden in very different applications. The diverse viewpoints on the subject have led to the need for a common perspective, if not a common theory. Presenting the proceedings of a Joint Summer Research Conference held in Seattle in the summer of 1993, this book will serve as a valuable starting point and reference tool for the wide range of users of hypergroups and make it easier for an even larger audience to use these structures in their work.

In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius

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Publisher : Springer Nature
ISBN 13 : 3030607542
Total Pages : 819 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius by : Maria Eulália Vares

Download or read book In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius written by Maria Eulália Vares and published by Springer Nature. This book was released on 2021-03-25 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.

A Lifetime of Excursions Through Random Walks and Lévy Processes

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Publisher : Springer Nature
ISBN 13 : 3030833097
Total Pages : 354 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis A Lifetime of Excursions Through Random Walks and Lévy Processes by : Loïc Chaumont

Download or read book A Lifetime of Excursions Through Random Walks and Lévy Processes written by Loïc Chaumont and published by Springer Nature. This book was released on 2022-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection honours Ron Doney’s work and includes invited articles by his collaborators and friends. After an introduction reviewing Ron Doney’s mathematical achievements and how they have influenced the field, the contributed papers cover both discrete-time processes, including random walks and variants thereof, and continuous-time processes, including Lévy processes and diffusions. A good number of the articles are focused on classical fluctuation theory and its ramifications, the area for which Ron Doney is best known.

Intelligent Random Walk: An Approach Based on Learning Automata

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Publisher : Springer
ISBN 13 : 303010883X
Total Pages : 55 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Intelligent Random Walk: An Approach Based on Learning Automata by : Ali Mohammad Saghiri

Download or read book Intelligent Random Walk: An Approach Based on Learning Automata written by Ali Mohammad Saghiri and published by Springer. This book was released on 2019-01-02 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the intelligent random walk algorithms based on learning automata: these versions of random walk algorithms gradually obtain required information from the nature of the application to improve their efficiency. The book also describes the corresponding applications of this type of random walk algorithm, particularly as an efficient prediction model for large-scale networks such as peer-to-peer and social networks. The book opens new horizons for designing prediction models and problem-solving methods based on intelligent random walk algorithms, which are used for modeling and simulation in various types of networks, including computer, social and biological networks, and which may be employed a wide range of real-world applications.

Random Walk and the Heat Equation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848291
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Random Walk and the Heat Equation by : Gregory F. Lawler

Download or read book Random Walk and the Heat Equation written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 2010-11-22 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heat equation can be derived by averaging over a very large number of particles. Traditionally, the resulting PDE is studied as a deterministic equation, an approach that has brought many significant results and a deep understanding of the equation and its solutions. By studying the heat equation and considering the individual random particles, however, one gains further intuition into the problem. While this is now standard for many researchers, this approach is generally not presented at the undergraduate level. In this book, Lawler introduces the heat equations and the closely related notion of harmonic functions from a probabilistic perspective. The theme of the first two chapters of the book is the relationship between random walks and the heat equation. This first chapter discusses the discrete case, random walk and the heat equation on the integer lattice; and the second chapter discusses the continuous case, Brownian motion and the usual heat equation. Relationships are shown between the two. For example, solving the heat equation in the discrete setting becomes a problem of diagonalization of symmetric matrices, which becomes a problem in Fourier series in the continuous case. Random walk and Brownian motion are introduced and developed from first principles. The latter two chapters discuss different topics: martingales and fractal dimension, with the chapters tied together by one example, a random Cantor set. The idea of this book is to merge probabilistic and deterministic approaches to heat flow. It is also intended as a bridge from undergraduate analysis to graduate and research perspectives. The book is suitable for advanced undergraduates, particularly those considering graduate work in mathematics or related areas.

Introduction to Stochastic Process

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Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842651056
Total Pages : 436 pages
Book Rating : 4.6/5 (51 download)

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Book Synopsis Introduction to Stochastic Process by : Adhir K. Basu

Download or read book Introduction to Stochastic Process written by Adhir K. Basu and published by Alpha Science Int'l Ltd.. This book was released on 2003 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is an outcome of the author's lectures conducted from the 1980s during his teaching experience in North America and India. Over 250 solved and unsolved exercises are provided with examples.

Mathematical Analysis and Applications

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Publisher : Springer Nature
ISBN 13 : 3030313395
Total Pages : 694 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematical Analysis and Applications by : Themistocles M. Rassias

Download or read book Mathematical Analysis and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2019-12-12 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more. This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.

Theory of Probability and Random Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540254846
Total Pages : 346 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Theory of Probability and Random Processes by : Leonid Koralov

Download or read book Theory of Probability and Random Processes written by Leonid Koralov and published by Springer Science & Business Media. This book was released on 2007-08-28 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probability theory and the theory of random processes. The book includes detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. It also includes the theory of stationary random processes, martingales, generalized random processes, and Brownian motion.

Probabilistic Methods in Discrete Mathematics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112314077
Total Pages : 380 pages
Book Rating : 4.1/5 (123 download)

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Book Synopsis Probabilistic Methods in Discrete Mathematics by : V. F. Kolchin

Download or read book Probabilistic Methods in Discrete Mathematics written by V. F. Kolchin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probabilistic Methods in Discrete Mathematics".