Enumeration and Random Random Walks on Finite Groups

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ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Enumeration and Random Random Walks on Finite Groups by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Enumeration and Random Random Walks on Finite Groups written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1994 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms - ESA'99

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Publisher : Springer Science & Business Media
ISBN 13 : 3540662510
Total Pages : 564 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Algorithms - ESA'99 by : Jaroslav Nesetril

Download or read book Algorithms - ESA'99 written by Jaroslav Nesetril and published by Springer Science & Business Media. This book was released on 1999-07-07 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th Annual European Symposium on Algorithms, ESA '99, held in Prague, Czech Republic, in July 1999. The 44 revised papers presented were carefully reviewed and selected from a total of 122 submissions. All areas of algorithmic research are covered, in particular approximation algorithms, combinatorial optimization, computational mathematics, computational science, databases and information retrieval, graph computations, network algorithms, online algorithms, pattern matching, data compression, parallel algorithms, distributed algorithms, and sequential algorithms.

Enumeration of Finite Groups

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Publisher :
ISBN 13 : 9780511355899
Total Pages : 295 pages
Book Rating : 4.3/5 (558 download)

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Book Synopsis Enumeration of Finite Groups by : Simon R. Blackburn

Download or read book Enumeration of Finite Groups written by Simon R. Blackburn and published by . This book was released on 2014-05-14 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: First text to focus on exciting area of group-theoretic research: the question 'how many groups of order n are there?'

Probability on Discrete Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540008453
Total Pages : 376 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Probability on Discrete Structures by : Harry Kesten

Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2004 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Random Walks on Reductive Groups

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Publisher : Springer
ISBN 13 : 3319477218
Total Pages : 319 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Random Walks on Reductive Groups by : Yves Benoist

Download or read book Random Walks on Reductive Groups written by Yves Benoist and published by Springer. This book was released on 2016-10-20 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients. Under the assumption that the action of the matrices is semisimple – or, equivalently, that the Zariski closure of the group generated by these matrices is reductive - and under suitable moment assumptions, it is shown that the norm of the products of such random matrices satisfies a number of classical probabilistic laws. This book includes necessary background on the theory of reductive algebraic groups, probability theory and operator theory, thereby providing a modern introduction to the topic.

Contributions to Simple Random Walks Enumeration

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ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (775 download)

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Book Synopsis Contributions to Simple Random Walks Enumeration by : Simon Ntshengedzeni Mavhungu

Download or read book Contributions to Simple Random Walks Enumeration written by Simon Ntshengedzeni Mavhungu and published by . This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groups, Graphs and Random Walks

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Publisher : Cambridge University Press
ISBN 13 : 1316817784
Total Pages : 539 pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis Groups, Graphs and Random Walks by : Tullio Ceccherini-Silberstein

Download or read book Groups, Graphs and Random Walks written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2017-06-29 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom spoke at the workshop 'Groups, Graphs and Random Walks' celebrating the sixtieth birthday of Wolfgang Woess in Cortona, Italy. Topics include: growth and amenability of groups; Schrödinger operators and symbolic dynamics; ergodic theorems; Thompson's group F; Poisson boundaries; probability theory on buildings and groups of Lie type; structure trees for edge cuts in networks; and mathematical crystallography. In what is currently a fast-growing area of mathematics, this book provides an up-to-date and valuable reference for both researchers and graduate students, from which future research activities will undoubtedly stem.

Random Walks on Finite Groups with Multiplicity Two

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ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (77 download)

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Book Synopsis Random Walks on Finite Groups with Multiplicity Two by : Farid Ghassem Bassiri

Download or read book Random Walks on Finite Groups with Multiplicity Two written by Farid Ghassem Bassiri and published by . This book was released on 1997 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Walks on Finite Groups: a Survey of Analytic Techniques

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Random Walks on Finite Groups: a Survey of Analytic Techniques by : Stanford University. Department of Statistics

Download or read book Random Walks on Finite Groups: a Survey of Analytic Techniques written by Stanford University. Department of Statistics and published by . This book was released on 1995 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Walks on Infinite Graphs and Groups

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Publisher : Cambridge University Press
ISBN 13 : 0521552923
Total Pages : 350 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Random Walks on Infinite Graphs and Groups by : Wolfgang Woess

Download or read book Random Walks on Infinite Graphs and Groups written by Wolfgang Woess and published by Cambridge University Press. This book was released on 2000-02-13 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a finitely generated group. The transition probabilities are assumed to be adapted to the underlying structure in some way that must be specified precisely in each case. From the probabilistic viewpoint, the question is what impact the particular type of structure has on various aspects of the behaviour of the random walk. Vice-versa, random walks may also be seen as useful tools for classifying, or at least describing the structure of graphs and groups. Links with spectral theory and discrete potential theory are also discussed. This book will be essential reading for all researchers working in stochastic process and related topics.

Camparison Techniques for Random Walk on Finite Groups

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Camparison Techniques for Random Walk on Finite Groups by : Stanford University. Department of Statistics

Download or read book Camparison Techniques for Random Walk on Finite Groups written by Stanford University. Department of Statistics and published by . This book was released on 1992 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Enumeration

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Publisher : Springer Science & Business Media
ISBN 13 : 3540390359
Total Pages : 568 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis A Course in Enumeration by : Martin Aigner

Download or read book A Course in Enumeration written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2007-06-28 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The book is organized in three parts: Basics, Methods, and Topics. The aim is to introduce readers to a fascinating field, and to offer a sophisticated source of information for professional mathematicians desiring to learn more. There are 666 exercises, and every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.

Moderate Growth and Random Walk on Finite Groups

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ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Moderate Growth and Random Walk on Finite Groups by : Stanford University. Department of Statistics

Download or read book Moderate Growth and Random Walk on Finite Groups written by Stanford University. Department of Statistics and published by . This book was released on 1993 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Randomization Methods in Algorithm Design

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809164
Total Pages : 335 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Randomization Methods in Algorithm Design by : Panos M. Pardalos

Download or read book Randomization Methods in Algorithm Design written by Panos M. Pardalos and published by American Mathematical Soc.. This book was released on 1999 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on proceedings held during the DIMACS workshop on Randomization Methods in Algorithm Design in December 1997 at Princeton. The workshop was part of the DIMACS Special Year on Discrete Probability. It served as an interdisciplinary research workshop that brought together a mix of leading theorists, algorithmists and practitioners working in the theory and implementation aspects of algorithms involving randomization. Randomization has played an important role in the design of both sequential and parallel algorithms. The last decade has witnessed tremendous growth in the area of randomized algorithms. During this period, randomized algorithms went from being a tool in computational number theory to finding widespread applications in many problem domains. Major topics covered include randomization techniques for linear and integer programming problems, randomization in the design of approximate algorithms for combinatorial problems, randomization in parallel and distributed algorithms, practical implementation of randomized algorithms, de-randomization issues, and pseudo-random generators. This volume focuses on theory and implementation aspects of algorithms involving randomization. It would be suitable as a graduate or advanced graduate text.

Random Walks on Infinite Groups

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Publisher : Springer Nature
ISBN 13 : 3031256328
Total Pages : 373 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Random Walks on Infinite Groups by : Steven P. Lalley

Download or read book Random Walks on Infinite Groups written by Steven P. Lalley and published by Springer Nature. This book was released on 2023-05-08 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or nonexistence of nonconstant, bounded harmonic functions. The book will be suitable as a textbook for beginning graduate-level courses or independent study by graduate students and advanced undergraduate students in mathematics with a solid grounding in measure theory and a basic familiarity with the elements of group theory. The first seven chapters could also be used as the basis for a short course covering the main results regarding transience/recurrence, decay of return probabilities, and speed. The book has been organized and written so as to be accessible not only to students in probability theory, but also to students whose primary interests are in geometry, ergodic theory, or geometric group theory.

Algorithms

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Publisher :
ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Algorithms by :

Download or read book Algorithms written by and published by . This book was released on 1999 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837060
Total Pages : 104 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields by : Jason Fulman

Download or read book A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields written by Jason Fulman and published by American Mathematical Soc.. This book was released on 2005 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.