random walks brownian motion and interacting particle systems a festschrift in honor of frank spitzer progress in probability volume 28

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Random Walks Brownian Motion And Interacting Particle Systems

Author : H. Kesten
ISBN : 9781461204596
Genre : Mathematics
File Size : 72. 6 MB
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This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.


Author :
ISBN : UCAL:B4334702
Genre : Operations research
File Size : 66. 78 MB
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Notices Of The American Mathematical Society

Author : American Mathematical Society
ISBN : UCSD:31822005594676
Genre : Mathematics
File Size : 90. 97 MB
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Annales De L I H P

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ISBN : UOM:39015038838051
Genre : Mathematics
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Ims Bulletin

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ISBN : UOM:35128001729845
Genre : Mathematical statistics
File Size : 41. 77 MB
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American Book Publishing Record

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ISBN : UOM:39015016314786
Genre : United States
File Size : 32. 31 MB
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Das Schweizer Buch

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ISBN : IND:30000027962707
Genre : Switzerland
File Size : 88. 18 MB
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The Craft Of Probabilistic Modelling

Author : J. Gani
ISBN : 9781461386315
Genre : Mathematics
File Size : 69. 17 MB
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This book brings together the personal accounts and reflections of nineteen mathematical model-builders, whose specialty is probabilistic modelling. The reader may well wonder why, apart from personal interest, one should commission and edit such a collection of articles. There are, of course, many reasons, but perhaps the three most relevant are: (i) a philosophicaJ interest in conceptual models; this is an interest shared by everyone who has ever puzzled over the relationship between thought and reality; (ii) a conviction, not unsupported by empirical evidence, that probabilistic modelling has an important contribution to make to scientific research; and finally (iii) a curiosity, historical in its nature, about the complex interplay between personal events and the development of a field of mathematical research, namely applied probability. Let me discuss each of these in turn. Philosophical Abstraction, the formation of concepts, and the construction of conceptual models present us with complex philosophical problems which date back to Democritus, Plato and Aristotle. We have all, at one time or another, wondered just how we think; are our thoughts, concepts and models of reality approxim&tions to the truth, or are they simply functional constructs helping us to master our environment? Nowhere are these problems more apparent than in mathematical model ling, where idealized concepts and constructions replace the imperfect realities for which they stand.

Probability On Trees And Networks

Author : Russell Lyons
ISBN : 9781316785331
Genre : Mathematics
File Size : 60. 32 MB
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Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.


Author : Alexander Balanov
ISBN : 9783540721284
Genre : Science
File Size : 35. 69 MB
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This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

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