Random Discrete Structures
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Random Discrete Structures
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Author : David Aldous
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Random Discrete Structures written by David Aldous and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.
On The Evolution Of Random Discrete Structures
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Author : Deryk Osthus
language : en
Publisher:
Release Date : 2000
On The Evolution Of Random Discrete Structures written by Deryk Osthus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
The Strange Logic Of Random Graphs
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Author : Joel Spencer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Strange Logic Of Random Graphs written by Joel Spencer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.
Probability On Discrete Structures
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Author : Harry Kesten
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Probability On Discrete Structures written by Harry Kesten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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.
Extremal Results For Random Discrete Structures
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Author : Mathias Schacht
language : en
Publisher:
Release Date : 2009
Extremal Results For Random Discrete Structures written by Mathias Schacht and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Ramsey Properties Of Random Discrete Structures
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Author : Ehud Friedgut
language : en
Publisher:
Release Date : 2009
Ramsey Properties Of Random Discrete Structures written by Ehud Friedgut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Logic And Random Structures
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Author : Ravi Bopu Boppana
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Logic And Random Structures written by Ravi Bopu Boppana 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 1997 with Mathematics categories.
The articles in this volume are based on lectures presented at the Workshop on Logic and Random Structures, held on November 5 through 7, 1995, at the DIMACS Center at Rutgers, New Jersey. There were two main themes in the workshop. The first was concerned with classes of random finite structures, and probabilities of properties definable in these classes. The second was the complexity of circuits and sentences.
Random Graphs
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Author : Svante Janson
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-30
Random Graphs written by Svante Janson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-30 with Mathematics categories.
A unified, modern treatment of the theory of random graphs-including recent results and techniques Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollobas's well-known 1985 book. Poised to stimulate research for years to come, this new work covers developments of the last decade, providing a much-needed, modern overview of this fast-growing area of combinatorics. Written by three highly respected members of the discrete mathematics community, the book incorporates many disparate results from across the literature, including results obtained by the authors and some completely new results. Current tools and techniques are also thoroughly emphasized. Clear, easily accessible presentations make Random Graphs an ideal introduction for newcomers to the field and an excellent reference for scientists interested in discrete mathematics and theoretical computer science. Special features include: * A focus on the fundamental theory as well as basic models of random graphs * A detailed description of the phase transition phenomenon * Easy-to-apply exponential inequalities for large deviation bounds * An extensive study of the problem of containing small subgraphs * Results by Bollobas and others on the chromatic number of random graphs * The result by Robinson and Wormald on the existence of Hamilton cycles in random regular graphs * A gentle introduction to the zero-one laws * Ample exercises, figures, and bibliographic references
Finite Markov Chains And Random Discrete Structures
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Author : Avner Friedman
language : en
Publisher:
Release Date : 1994
Finite Markov Chains And Random Discrete Structures written by Avner Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
This grant from the Air Force Office of Scientific Research supported the research related to the two IMA Workshops Finite Markov Chain Renaissance held on October 18-22, 1993 and Random Discrete Structures held on November 15- 19, 1993. The first workshop was organized by Persi Diaconis and David Aldous, while the second one by David Aldous and Robin Pemantle. Both workshops were integral parts of the IMA 1993-1994 year-long program on 'EMERGING APPLICATIONS OF PROBABILITY'. The October workshop addressed the following issues: Theoretical computer science examples: successes and open problems; computation- Bayesian statistics; Classical probability examples: successes and open problems; Mathematical theory and other aspects of Markov Chains. The November workshop explored examples from Jung's work on synchronicity to recent studies of parapsychology; random graphs; random permutations and Stein's method. In addition this workshop addressed new questions concerning probability on discrete infinite structures. The services of J. Michael Steele, a senior fellow was partially supported by this grant. Steele provided over-all direction for the entire probability program. Similarity, the grant supported 8 one-month visitors and 21 workshop participants. Grant AF/F49620-94-1-009 also supported the publication of the technical research reports submitted by the workshop participants for inclusion in the IMA Preprint Series, and two IMA proceedings Volumes. Random discrete structures, Theoretical computer science, Bayesian statistics, Classification probability, Markov chains, Jung's work on synchronicity, Random graphs, Random permutations.
Basic Discrete Mathematics Logic Set Theory And Probability
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Author : Richard Kohar
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016-06-15
Basic Discrete Mathematics Logic Set Theory And Probability written by Richard Kohar and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-15 with Mathematics categories.
This lively introductory text exposes the student in the humanities to the world of discrete mathematics. A problem-solving based approach grounded in the ideas of George Pólya are at the heart of this book. Students learn to handle and solve new problems on their own. A straightforward, clear writing style and well-crafted examples with diagrams invite the students to develop into precise and critical thinkers. Particular attention has been given to the material that some students find challenging, such as proofs. This book illustrates how to spot invalid arguments, to enumerate possibilities, and to construct probabilities. It also presents case studies to students about the possible detrimental effects of ignoring these basic principles. The book is invaluable for a discrete and finite mathematics course at the freshman undergraduate level or for self-study since there are full solutions to the exercises in an appendix.'Written with clarity, humor and relevant real-world examples, Basic Discrete Mathematics is a wonderful introduction to discrete mathematical reasoning.'- Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, and author of The Magic of Math