Random Sampling of Domino and Lozenge Tilings PDF Download

Author: Éric Fusy
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Vadim Gorin
Publisher: Cambridge University Press
ISBN: 1108922902
Category : Mathematics
Languages : en
Pages : 262

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Over the past 25 years, there has been an explosion of interest in the area of random tilings. The first book devoted to the topic, this timely text describes the mathematical theory of tilings. It starts from the most basic questions (which planar domains are tileable?), before discussing advanced topics about the local structure of very large random tessellations. The author explains each feature of random tilings of large domains, discussing several different points of view and leading on to open problems in the field. The book is based on upper-division courses taught to a variety of students but it also serves as a self-contained introduction to the subject. Test your understanding with the exercises provided and discover connections to a wide variety of research areas in mathematics, theoretical physics, and computer science, such as conformal invariance, determinantal point processes, Gibbs measures, high-dimensional random sampling, symmetric functions, and variational problems.

Author: Dorit Hochbaum
Publisher: Springer
ISBN: 3540484132
Category : Computers
Languages : en
Pages : 297

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This book constitutes the refereed proceedings of the Third International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM'99, held jointly with the Second International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX'99, in Berkeley, California in August 1999. The volume presents 24 revised full papers selected from 44 submissions and four invited contributions. The papers present a wealth of new results and document the state-of-the-art in the areas covered by the workshop.

Author: Jesper Jacobsen
Publisher: OUP Oxford
ISBN: 0191574449
Category : Science
Languages : en
Pages : 664

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Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics.

Author: Vadim Gorin
Publisher: Cambridge University Press
ISBN: 1108843964
Category : Language Arts & Disciplines
Languages : en
Pages : 261

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This is the first book dedicated to reviewing the mathematics of random tilings of large domains on the plane.

Author: Miklos Bona
Publisher: CRC Press
ISBN: 1482220865
Category : Mathematics
Languages : en
Pages : 1073

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Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he

Author: David A. Levin
Publisher: American Mathematical Soc.
ISBN: 1470429624
Category : Mathematics
Languages : en
Pages : 465

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This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines. The central tools for estimating convergence times, including coupling, strong stationary times, and spectral methods, are developed. The authors discuss many examples, including card shuffling and the Ising model, from statistical mechanics, and present the connection of random walks to electrical networks and apply it to estimate hitting and cover times. The first edition has been used in courses in mathematics and computer science departments of numerous universities. The second edition features three new chapters (on monotone chains, the exclusion process, and stationary times) and also includes smaller additions and corrections throughout. Updated notes at the end of each chapter inform the reader of recent research developments.

Author:
Publisher:
ISBN:
Category : Computer science
Languages : en
Pages : 316

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Vols. for 1999- contain also proceedings of 2nd- International Workshop on Approximation Algorithms for Combinatorial Optimization Problems.

Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 696

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Author: Neal Noah Madras
Publisher: American Mathematical Soc.
ISBN: 0821819925
Category : Mathematics
Languages : en
Pages : 238

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This volume contains the proceedings of the Workshop on Monte Carlo Methods held at The Fields Institute for Research in Mathematical Sciences (Toronto, 1998). The workshop brought together researchers in physics, statistics, and probability. The papers in this volume - of the invited speakers and contributors to the poster session - represent the interdisciplinary emphasis of the conference. Monte Carlo methods have been used intensively in many branches of scientific inquiry. Markov chain methods have been at the forefront of much of this work, serving as the basis of many numerical studies in statistical physics and related areas since the Metropolis algorithm was introduced in 1953. Statisticians and theoretical computer scientists have used these methods in recent years, working on different fundamental research questions, yet using similar Monte Carlo methodology. This volume focuses on Monte Carlo methods that appear to have wide applicability and emphasizes new methods, practical applications and theoretical analysis. It will be of interest to researchers and graduate students who study and/or use Monte Carlo methods in areas of probability, statistics, theoretical physics, or computer science.