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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. Schramm-Lowner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. 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.

" " An epic and gripping tale of catastrophe and survival, "The Passage" is the story of Amy abandoned by her mother at the age of six, pursued and then imprisoned by the shadowy figures behind a government experiment of apocalyptic proportions. But Special Agent Brad Wolgast, the lawman sent to track her down, is disarmed by the curiously quiet girl and risks everything to save her. As the experiment goes nightmarishly wrong, Wolgast secures her escape but he can t stop society s collapse. And as Amy walks alone, across miles and decades, into a future dark with violence and despair, she is filled with the mysterious and terrifying knowledge that only she has the power to save the ruined world. THE TIMES BOOKS OF THE YEAR 2016 'An energetic, ambitious, provocative work by a young historian of notable gifts, which deserves a wide readership' Max Hastings, The Sunday Times 'Bold and breathtaking...I have never read a more daringly panoramic survey of the period' Jonathan Wright, Herald Scotland The most terrible emergency in Britain's history, the Second World War required an unprecedented national effort. An exhausted country had to fight an unexpectedly long war and found itself much diminished amongst the victors. Yet the outcome of the war was nonetheless a triumph, not least for a political system that proved well adapted to the demands of Micro Software Evaluations 1984-85 free ebook a total conflict and for a population who had to make many sacrifices but who were spared most of the horrors experienced in the rest of Europe. Britain's War is a narrative of these epic events, an analysis of the myriad factors that shaped military success and failure, and an explanation of what the war tells us about the history of modern Britain.

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Author: Geoffrey Grimmett
Number of Pages: 260 pages
Published Date: 06 Dec 2010
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9780521147354
Download Link: Click Here
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