In and out of equilibrium平衡的内外：概率论与物理学味
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作者： Vladas Sidoravicius 著
出 版 社：
出版时间： 2002-7-1字数：版次： 1页数： 472印刷时间： 2002/07/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780817642891包装： 精装内容简介
The intersection of probability and physics has been a rich and explosive area of growth in the past two decades, specifically covering such subjects as percolation theory, random walks, interacting particle systems, and various topics related to statistical mechanics.
In the last several years, substantial progress has been made in a number of directions: fluctuations of 2-dimensional growth processes, Wulf constructions in higher dimensions for percolation, Potts and Ising models, classification of random walks in random environments, the introduction of the stochastic Loewner equation, the rigorous proof of intersection exponents for planar Brownian motion, and finally the proof of conformal invariance for critical percolation on the triangular lattice.
This volume consists of a collection of invited articles, written by some of the most distinguished probabilists in the above-mentioned areas, most of whom were personally responsible for advances in the various subfields of probability. All of the articles are an outgrowth of the Fourth Brazilian School of Probability, held in Mambucaba, Brazil, August 2000. Contributors: K. Alexander * J.M. Azaïs * J. van den Berg * T. Bodineau * F. Camia * N. Cancrini * G. Grimmett * P. Hiemer * A.E. Holroyd * H. Kesten * G.F. Lawler * T.M. Liggett * J. Lorinczi * F. Martinelli * C. M. Newman * J. Quastel * C.-E. Pfister * M. Prähofer * C. Roberto * O. Schramm * V. Sidoravicius * H. Spohn * A. Toom * B. Tóth * D. Ueltschi * W. Werner * M. Wschebor * M. Wüthrich
Graduate students and researchers in probability theory and math physics will find this book a useful reference.
目录
Preface
Randomly Coalescing Random Walk in Dimension≥3
The Single Droplet Theorem for Random Cluster Models
Phase Coexistence for the Kac-Ising Models
Sharp Estimates for Brownian Non-intersection Probabilities
Tagged Particle Distributions or How to Choose a Head at Random
Approach to Fixation for Zero-Temperature Stochastic Ising Models
on the Hexagonal Lattice
Current Fluctuations for the Totally Asymmetric Simple Exclusion Process
Asymptotic Behaviour of Semi-Infinite Geodesics for Maximal
Increasing Subsequences in the Plane
Hydrodynamic Equation for a Deposition Model
Time Reversal of Degenerate Diffusions
Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited
Directed Percolation and Random Walk
Entanglement and Rigidity in Percolation Models
On Critical Values for Some Random Processes with
Local Interaction in R2
Tbe Distribution of the Maximum of a Gaussian Process Rice Method Revisited
Gibbs Measures on Brownian Paths
Geometric and Probabilistic Aspects of Boson Lattice Models
Thermodynamical Aspects of Classical Lattice Systems
