Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Probability on Graphs PDF full book. Access full book title Probability on Graphs by Geoffrey Grimmett. Download full books in PDF and EPUB format.
Author: Geoffrey Grimmett Publisher: Cambridge University Press ISBN: 1108542999 Category : Mathematics Languages : en Pages : 279
Book Description
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: Geoffrey Grimmett Publisher: Cambridge University Press ISBN: 1108542999 Category : Mathematics Languages : en Pages : 279
Book Description
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: Ulle Endriss Publisher: Lulu.com ISBN: 1326912097 Category : Computers Languages : en Pages : 424
Book Description
Computational social choice is concerned with the design and analysis of methods for collective decision making. It is a research area that is located at the interface of computer science and economics. The central question studied in computational social choice is that of how best to aggregate the individual points of view of several agents, so as to arrive at a reasonable compromise. Examples include tallying the votes cast in an election, aggregating the professional opinions of several experts, and finding a fair manner of dividing a set of resources amongst the members of a group -- Back cover.
Author: W. Cary Huffman Publisher: CRC Press ISBN: 1351375105 Category : Computers Languages : en Pages : 998
Book Description
Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research
Author: Daniel Krob Publisher: Springer Science & Business Media ISBN: 3662041669 Category : Mathematics Languages : en Pages : 815
Book Description
This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...
Author: Martin Grötschel Publisher: Springer Science & Business Media ISBN: 3540852212 Category : Mathematics Languages : en Pages : 536
Book Description
Discrete mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scientific disciplines. Both fields deeply cross fertilize each other. One of the persons who particularly contributed to building bridges between these and many other areas is László Lovász, a scholar whose outstanding scientific work has defined and shaped many research directions in the last 40 years. A number of friends and colleagues, all top authorities in their fields of expertise and all invited plenary speakers at one of two conferences in August 2008 in Hungary, both celebrating Lovász’s 60th birthday, have contributed their latest research papers to this volume. This collection of articles offers an excellent view on the state of combinatorics and related topics and will be of interest for experienced specialists as well as young researchers.
Author: Murat Köksalan Publisher: Springer Science & Business Media ISBN: 3642566804 Category : Business & Economics Languages : en Pages : 478
Book Description
This volume contains a collection of papers presented at the 15th International Conference on Multiple Criteria Decision Making held in Ankara, Turkey July 10 14, 2000. This was one of the regular conferences of the International Society on Multiple Criteria Decision Making, which are held at approximately two-year intervals. The Ankara conference had 195 participants from 38 countries. A total of 185 papers were presented at the conference. The title of our volume is MCDM in the New Millennium. The papers presented at the conference reflect the theme. We had several papers on information technology (IT) and many application papers. Of the 81 application papers presented, 14 appear in the volume. We expect more IT applications of MCDM to appear in the future, in particular in the areas of e-commerce and the internet. The conference surroundings and accomodations were excellent, and conducive to both an outstanding academic exchange, and enjoyment and a cultural broadening of participants. We had a pleasant and enjoyable outing and visit to the Anatolian Civilizations Museum. We also had an outstanding banquet at which awards were presented. The MCDM Gold Medal was presented to Professor Thomas Saaty, of the University of Pittsburgh. The MCDM Presidential Service Award was presented to ProfessorPekka Korhonen of the Helsinki School of Economics for his years of presidential service to the society. The society presented the MCDM Edgeworth-Pareto Award to Professor Alexander V. Lotov of the Russian Academy of Sciences.
Author: Joseph L. Taylor Publisher: American Mathematical Soc. ISBN: 0821869019 Category : Mathematics Languages : en Pages : 319
Book Description
"The text covers a broad spectrum between basic and advanced complex variables on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- or two-semester course for undergraduate mathematics majors, a one-semester course for engineering or physics majors, or a one-semester course for first-year mathematics graduate students. It has been tested in all three settings at the University of Utah. The exposition is clear, concise, and lively. There is a clean and modern approach to Cauchy's theorems and Taylor series expansions, with rigorous proofs but no long and tedious arguments. This is followed by the rich harvest of easy consequences of the existence of power series expansions. Through the central portion of the text, there is a careful and extensive treatment of residue theory and its application to computation of integrals, conformal mapping and its applications to applied problems, analytic continuation, and the proofs of the Picard theorems. Chapter 8 covers material on infinite products and zeroes of entire functions. This leads to the final chapter which is devoted to the Riemann zeta function, the Riemann Hypothesis, and a proof of the Prime Number Theorem." -- Publisher.
Author: Thomas Erlebach Publisher: Springer Science & Business Media ISBN: 3642282083 Category : Computers Languages : en Pages : 248
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Workshop on Algorithms for Sensor Systems, Wireless Ad Hoc Networks, and Autonomous Mobile Entities, ALGOSENSORS 2011, held in Saarbrücken, Germany, in September 2011. The 16 revised full papers presented together with two invited keynote talks were carefully reviewed and selected from 31 submissions. The papers are organized in two tracks: sensor networks, covering topics such as localization, lifetime maximization, interference control, neighbor discovery, self-organization, detection, and aggregation; and ad hoc wireless and mobile systems including the topics: routing, scheduling and capacity optimization in the SINR model, continuous monitoring, and broadcasting.
Author: Geoffrey Grimmett
Author: Geoffrey Grimmett
Author: Richard P. Stanley
Author: Robert E. Bixby
Author: Ulle Endriss
Author: W. Cary Huffman
Author: Daniel Krob
Author: Martin Grötschel
Author: Murat Köksalan
Author: Joseph L. Taylor
Author: Thomas Erlebach