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Author : Mihai Adrian Ciucu
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.3/5 (91 download)
Download or read book Perfect Matchings, Spanning Trees, Plane Partitions and Statistical Physics written by Mihai Adrian Ciucu and published by . This book was released on 1996 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Loebl
Publisher : Springer Science & Business Media
ISBN 13 : 3834893293
Total Pages : 187 pages
Book Rating : 4.8/5 (348 download)
Download or read book Discrete Mathematics in Statistical Physics written by Martin Loebl and published by Springer Science & Business Media. This book was released on 2010-02-16 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.
Author :
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.3/5 (91 download)
Download or read book 数理科学講究錄 written by and published by . This book was released on 1997 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
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ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.F/5 ( download)
Download or read book Match written by and published by . This book was released on 2006 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
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ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.0/5 ( download)
Download or read book Congressus Numerantium written by and published by . This book was released on 1970 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mihai Ciucu
Publisher : American Mathematical Soc.
ISBN 13 : 082183794X
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Random Tiling Model for Two Dimensional Electrostatics written by Mihai Ciucu and published by American Mathematical Soc.. This book was released on 2005 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the correlation of holes in random lozenge (i.e., unit rhombus) tilings of the triangular lattice. This book analyzes the joint correlation of these triangular holes when their complement is tiled uniformly at random by lozenges.
Author : Lorenzo Sigmundo Najt (Ph.D.)
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (131 download)
Download or read book Connected Graph Partitions from Perspectives of Complexity Theory, Statistical Physics and Probability Theory, with Applications to Ensemble Analysis of Political Redistricting Plans and Other Statistical Models written by Lorenzo Sigmundo Najt (Ph.D.) and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with questions about sampling connected partitions, drawn from applications in the analysis of political redistricting and biostatistics. We examine this sampling problem from a complexity theory perspective, proving algorithmic lower bounds in terms of complexity classes and in terms of Markov chain mixing time lower bounds. We also investigate the implicit biases of using various distributions on connected partitions as a statistical prior, by examining the typical behavior of connected partitions. The latter investigation includes empirical work inspired by a connection with self-avoiding walks, and a theorem about bond percolation of spanning trees of grid graphs. We include two other loosely related topics. First, we investigate the relationship between the geographic compactness scores and the map projections used in redistricting, and show that under any of several popular compactness scores, any map projection will reverse the orderings of some districts. Finally, we prove an intractability theorem about uniformly sampling vertices of polytopes with bounded branch-width. Open problems are included throughout.
Author : Jean-Pierre Francoise
Publisher : Academic Press
ISBN 13 : 9780125126601
Total Pages : 792 pages
Book Rating : 4.1/5 (266 download)
Download or read book Encyclopedia of Mathematical Physics written by Jean-Pierre Francoise and published by Academic Press. This book was released on 2006-06-20 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy. For more information, pricing options and availability visit www.info.sciencedirect.com. First comprehensive interdisciplinary coverage Mathematical Physics explained to stimulate new developments and foster new applications of its methods to other fields Written by an international group of experts Contains several undergraduate-level introductory articles to facilitate acquisition of new expertis Thematic index and extensive cross-referencing to provide easy access and quick search functionality Also available online with active linking
Author :
Publisher :
ISBN 13 :
Total Pages : 896 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1995 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Geoffrey Grimmett
Publisher : Cambridge University Press
ISBN 13 : 1108542999
Total Pages : 279 pages
Book Rating : 4.1/5 (85 download)
Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2018-01-25 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Author :
Publisher :
ISBN 13 :
Total Pages : 812 pages
Book Rating : 4.F/5 ( download)
Download or read book Proceedings of the ... Annual ACM-SIAM Symposium on Discrete Algorithms written by and published by . This book was released on 1997 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Saks
Publisher : Trans-Atlantic Publications
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.E/5 ( download)
Download or read book Proceedings of the Eighth Annual ACM-SIAM Symposium on Discrete Algorithms written by Michael Saks and published by Trans-Atlantic Publications. This book was released on 1997 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation The 85 papers include reports of continuing research, many of which are expected to appear in finished form in scientific journals at some point. Among the topics are calculating the structure and chaos owing to gravity in the universe from Sir Isaac to the Sloan survey, an efficient algorithm for terrain simplification, the experimental analysis of dynamic minimum spanning tree algorithms, approximation algorithms for the discrete time-cost tradeoff problem, the growth rate of vertex-transitive planar graphs, and methods for achieving fast query times in point location data structures. No subject index. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Alan Frieze
Publisher : Cambridge University Press
ISBN 13 : 1107118506
Total Pages : 483 pages
Book Rating : 4.1/5 (71 download)
Download or read book Introduction to Random Graphs written by Alan Frieze and published by Cambridge University Press. This book was released on 2016 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 1439880190
Total Pages : 1606 pages
Book Rating : 4.4/5 (398 download)
Download or read book Handbook of Graph Theory written by Jonathan L. Gross and published by CRC Press. This book was released on 2013-12-17 with total page 1606 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition-over 400 pages longer than its prede
Author : Marc Mézard
Publisher : Oxford University Press
ISBN 13 : 019857083X
Total Pages : 584 pages
Book Rating : 4.1/5 (985 download)
Download or read book Information, Physics, and Computation written by Marc Mézard and published by Oxford University Press. This book was released on 2009-01-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields.
Author :
Publisher :
ISBN 13 :
Total Pages : 1518 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Caroline J. Klivans
Publisher : CRC Press
ISBN 13 : 135180099X
Total Pages : 296 pages
Book Rating : 4.3/5 (518 download)
Download or read book The Mathematics of Chip-Firing written by Caroline J. Klivans and published by CRC Press. This book was released on 2018-11-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.
