Non Homogeneous Random Walks
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Non Homogeneous Random Walks
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Author : Mikhail Menshikov
language : en
Publisher:
Release Date : 2016
Non Homogeneous Random Walks written by Mikhail Menshikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Random walks categories.
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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Author : Mikhail Vasilʹevich Menʹshikov
language : en
Publisher:
Release Date : 2017
Non Homogeneous Random Walks written by Mikhail Vasilʹevich Menʹshikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with MATHEMATICS categories.
Coin Turning Random Walks And Inhomogeneous Markov Chains
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Author : Janos Englander
language : en
Publisher: World Scientific
Release Date : 2024-11-22
Coin Turning Random Walks And Inhomogeneous Markov Chains written by Janos Englander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-22 with Mathematics categories.
This research monograph explores new frontiers in Markov chains. Although time-homogeneous Markov chains are well understood, this is not at all the case with time-inhomogeneous ones. The book, after a review on the classical theory of homogeneous chains, including the electrical network approach, introduces several new models which involve inhomogeneous chains as well as related new types of random walks (for example, 'coin turning', 'conservative' and 'Rademacher' walk). Scaling limits, the breakdown of the classical limit theorems as well as recurrence and transience are investigated. The relationship with urn models is the subject of two chapters, providing additional connections to other parts of probability theory.Random walks on random graphs are discussed as well, as an area where the method of electric networks is especially useful. This is illustrated by presenting random walks in random environments and random labyrinths.The monograph puts emphasis on showing examples and open problems besides providing rigorous analysis of the models.Several figures illustrate the main ideas, and a large number of exercises challenge the interested reader.
Non Homogeneous Markov Chains And Systems
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Author : P.-C.G. Vassiliou
language : en
Publisher: CRC Press
Release Date : 2022-12-21
Non Homogeneous Markov Chains And Systems written by P.-C.G. Vassiliou and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Mathematics categories.
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.
Random Walks And Geometry
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Author : Vadim A. Kaimanovich
language : en
Publisher: Walter de Gruyter
Release Date : 2004
Random Walks And Geometry written by Vadim A. Kaimanovich and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science. This volume is an outcome of the special semester 2001 - Random Walks held at the Schrödinger Institute in Vienna, Austria. It contains original research articles with non-trivial new approaches based on applications of random walks and similar processes to Lie groups, geometric flows, physical models on infinite graphs, random number generators, Lyapunov exponents, geometric group theory, spectral theory of graphs and potential theory. Highlights are the first survey of the theory of the stochastic Loewner evolution and its applications to percolation theory (a new rapidly developing and very promising subject at the crossroads of probability, statistical physics and harmonic analysis), surveys on expander graphs, random matrices and quantum chaos, cellular automata and symbolic dynamical systems, and others. The contributors to the volume are the leading experts in the area.
In And Out Of Equilibrium 3 Celebrating Vladas Sidoravicius
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Author : Maria Eulália Vares
language : en
Publisher: Springer Nature
Release Date : 2021-03-25
In And Out Of Equilibrium 3 Celebrating Vladas Sidoravicius written by Maria Eulália Vares and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Mathematics categories.
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.
Applications Of Hypergroups And Related Measure Algebras
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1995-02-28
Applications Of Hypergroups And Related Measure Algebras written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-28 with Mathematics categories.
`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.
A Lifetime Of Excursions Through Random Walks And L Vy Processes
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Author : Loïc Chaumont
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
A Lifetime Of Excursions Through Random Walks And L Vy Processes written by Loïc Chaumont and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.
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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Author : Ali Mohammad Saghiri
language : en
Publisher: Springer
Release Date : 2019-01-02
Intelligent Random Walk An Approach Based On Learning Automata written by Ali Mohammad Saghiri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-02 with Computers categories.
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.