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Author : R.T. Smythe
Publisher : Springer
ISBN 13 : 3540357440
Total Pages : 204 pages
Book Rating : 4.5/5 (43 download)
Download or read book First-Passage Percolation on the Square Lattice written by R.T. Smythe and published by Springer. This book was released on 2006-11-15 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. T. Smythe
Publisher :
ISBN 13 : 9783662167588
Total Pages : 208 pages
Book Rating : 4.1/5 (675 download)
Download or read book First-Passage Percolation on the Square Lattice written by R. T. Smythe and published by . This book was released on 2014-01-15 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.T. Smythe
Publisher : Springer
ISBN 13 : 9783540089285
Total Pages : 198 pages
Book Rating : 4.0/5 (892 download)
Download or read book First-Passage Percolation on the Square Lattice written by R.T. Smythe and published by Springer. This book was released on 1978-09-01 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Thomas Smythe
Publisher : Springer
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.:/5 (318 download)
Download or read book First-passage Percolation on the Square Lattice written by Robert Thomas Smythe and published by Springer. This book was released on 1978 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio Auffinger
Publisher : American Mathematical Soc.
ISBN 13 : 1470441837
Total Pages : 169 pages
Book Rating : 4.4/5 (74 download)
Download or read book 50 Years of First-Passage Percolation written by Antonio Auffinger and published by American Mathematical Soc.. This book was released on 2017-12-20 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range of applications to other scientific areas (growth and infection in biology, optimization in computer science, disordered media in physics), as well as other areas of mathematics, including analysis and geometry. FPP was introduced in the 1960s as a random metric space. Although it is simple to define, and despite years of work by leading researchers, many of its central problems remain unsolved. In this book, the authors describe the main results of FPP, with two purposes in mind. First, they give self-contained proofs of seminal results obtained until the 1990s on limit shapes and geodesics. Second, they discuss recent perspectives and directions including (1) tools from metric geometry, (2) applications of concentration of measure, and (3) related growth and competition models. The authors also provide a collection of old and new open questions. This book is intended as a textbook for a graduate course or as a learning tool for researchers.
Author : Harry Kesten
Publisher : Springer
ISBN 13 : 9783662094457
Total Pages : 351 pages
Book Rating : 4.0/5 (944 download)
Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer. This book was released on 2012-12-22 with total page 351 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.
Author : Alexander Dudin
Publisher : Springer
ISBN 13 : 3642394086
Total Pages : 483 pages
Book Rating : 4.6/5 (423 download)
Download or read book Analytical and Stochastic Modeling Techniques and Applications written by Alexander Dudin and published by Springer. This book was released on 2013-06-12 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Analytical and Stochastic Modelling and Applications, ASMTA 2013, held in Ghent, Belgium, in July 2013. The 32 papers presented were carefully reviewed and selected from numerous submissions. The focus of the papers is on the following application topics: complex systems; computer and information systems; communication systems and networks; wireless and mobile systems and networks; peer-to-peer application and services; embedded systems and sensor networks; workload modelling and characterization; road traffic and transportation; social networks; measurements and hybrid techniques; modeling of virtualization; energy-aware optimization; stochastic modeling for systems biology; biologically inspired network design.
Author : W. Jäger
Publisher : Springer Science & Business Media
ISBN 13 : 3642618502
Total Pages : 521 pages
Book Rating : 4.6/5 (426 download)
Download or read book Biological Growth and Spread written by W. Jäger and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings have been assembled from papers presented at the Conference on Models of Biological Growth and Spread, held at the German Cancer Research Centre Heidelberg and at the Institute of Applied Mathematics of the University of Heidelberg, July 16-21, 1979. The main theme of the conference was the mathematical representation of biolog ical populations with an underlying spatial structure. An important feature of such populations is that they and/or their individual com ponents may interact with each other. Such interactions may be due to external disturbances, internal regulatory factors or a combination of both. Many biological phenomena and processes including embryogenesis, cell growth, chemotaxis, cell adhesion, carcinogenesis, and the spread of an epidemic or of an advantageous gene can be studied in this con text. Thus, problems of particular importance in medicine (human and veterinary), agriculture, ecology, etc. may be taken into consideration and a deeper insight gained by utilizing (more) realistic mathematical models. Since the intrinsic biological mechanisms may differ considerably from each other, a great variety of mathematical approaches, theories and techniques is required. The aims of the conference were (i) To provide an overview of the most important biological aspects. (ii) To survey and analyse possible stochastic and deterministic approaches. (iii) To encourage new research by bringing together mathematicians interested in problems of a biological nature and scientists actively engaged in developing mathematical models in biology.
Author : B.D. Hughes
Publisher : Springer
ISBN 13 : 3540386939
Total Pages : 438 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Mathematics and Physics of Disordered Media written by B.D. Hughes and published by Springer. This book was released on 2006-11-14 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Durrett
Publisher : American Mathematical Soc.
ISBN 13 : 0821850423
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)
Download or read book Particle Systems, Random Media and Large Deviations written by Richard Durrett and published by American Mathematical Soc.. This book was released on 1985 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the 1984 AMS Summer Research Conference. This work provides a summary of results from some of the areas in probability theory; interacting particle systems, percolation, random media (bulk properties and hydrodynamics), the Ising model and large deviations.
Author : Erik Bates
Publisher : American Mathematical Society
ISBN 13 : 1470467917
Total Pages : 110 pages
Book Rating : 4.4/5 (74 download)
Download or read book Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation written by Erik Bates and published by American Mathematical Society. This book was released on 2024-02-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Geoffrey Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 1475742088
Total Pages : 304 pages
Book Rating : 4.4/5 (757 download)
Download or read book Percolation written by Geoffrey Grimmett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quite apart from the fact that percolation theory had its ongm in an honest applied problem, it is a source of fascinating problems of the best kind for which a mathematician can wish: problems which are easy to state with a minimum of preparation, but whose solutions are apparently difficult and require new methods. At the same time, many of the prob lems are of interest to or proposed by statistical physicists and not dreamed up merely to demonstrate ingenuity. Much progress has been made in recent years, and many of the open problems of ten years aga have been solved. With such solutions we have seen the evolution of new techniques and questions; the consequent knowledge has shifted the ground under percolation, and it is time to examine afresh the mathematics of the subject. The quantity of literature related to percolation seems to grow hour by hour, mostly in the physics journals. It is becoming increasingly diffi cult to get to know the subject from scratch, and one of the principal purposes of this book is to remedy this. This book is about the mathematics of percolation theory, with the emphasis upon presenting the shortest rigorous proofs of the main facts.
Author : Geoffrey R. Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 3662039818
Total Pages : 459 pages
Book Rating : 4.6/5 (62 download)
Download or read book Percolation written by Geoffrey R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.
Author : R.L. Graham
Publisher : Elsevier
ISBN 13 : 008093384X
Total Pages : 2404 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 2404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics
Author : Bela Bollobás
Publisher : Cambridge University Press
ISBN 13 : 0521872324
Total Pages : 334 pages
Book Rating : 4.5/5 (218 download)
Download or read book Percolation written by Bela Bollobás and published by Cambridge University Press. This book was released on 2006-09-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2006, is an account of percolation theory and its ramifications.
Author : Björn Engquist
Publisher : Springer
ISBN 13 : 364256478X
Total Pages : 1219 pages
Book Rating : 4.6/5 (425 download)
Download or read book Mathematics Unlimited - 2001 and Beyond written by Björn Engquist and published by Springer. This book was released on 2017-04-05 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.
Author :
Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.:/5 (327 download)
Download or read book Summaries of Projects Completed in Fiscal Year ... written by and published by . This book was released on 1977 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
