Description 
1 online resource (ix, 380 pages) : illustrations 
Series 
Contemporary mathematics, 02714232 ; v. 41 

Contemporary mathematics (American Mathematical Society) ; v. 41

Contents 
Table of Contents  Introduction  Inequalities for critical probabilities in percolation  Random tubes as a model of pair correlations  Large deviations for some infinite particle system occupation times  Functionvalued duals for measurevalued processes and applications  Invariance principle for reversible Markov processes with application to diffusion in the percolation regime  Stochastic growth models: Ten problems for the 80's (and 90's)  Large deviations and statistical mechanics  Nonergodic onedimensional media and reliable computation 

Disordered Ising ferromagnets and percolation  The critical behavior of a class of simple interacting systems  a few answers and a lot of questions  Phase transition for a class of Markov processes on (N)S  Large deviations in subadditive processes and firstpassage percolation  1. Introduction  2. Probability and Operations Research  3. Subadditive Processes  4. FirstPassage Percolation  5. Random Electrical Networks  Reference  Random media and selfdiffusion of interacting particles  A weak version of the RSW for the twodimensional Ising model 

Hydrodynamics of a onedimensional nearest neighbor model  Decay rates of Green's functions for the Schrodinger operator  Diffusions with random coefficients  Disjoint occurrences of events: Results and conjectures  Duality for directed site percolation 

Possible rates of convergence in finite range, attractive spin systems  Firstpassage percolation and a higher dimensional generalization  Using random matrices to give recurrence and trancience criteria for random walk in a random environment  Recent results on the movement of a tagged particle in simple exclusion  On the inverse problem for random Schrödinger operators  Intersections of simple random walks  A process in a randomly fluctuating environment  Infinite chains and clusters in one dimensional directed and undirected percolation  On the ShannonPerezMoy Theorem 
Notes 
"Proceedings of the AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Mathematics of Phase Transitions, held at Bowdoin College, June 2430, 1984"Title page verso 
Bibliography 
Includes bibliographical references 
Subject 
Particle dynamics  Congresses


Phase transformations (Statistical physics)  Congresses.


Stochastic processes  Congresses.


Particle dynamics.


Phase transformations (Statistical physics)


Stochastic processes.

Genre/Form 
Conference papers and proceedings.

Form 
Electronic book

Author 
Durrett, Richard, 1951


American Mathematical Society.


Institute of Mathematical Statistics.


Society for Industrial and Applied Mathematics.

ISBN 
0821853937 

0821876260 

9780821853931 

9780821876268 
