The intersection of probability and physics has been a rich and explosive area of growth in the past two decades. This volume contains invited articles by leading probabilists highlighting these advances. Major areas covered include: percolation theory, random walks, interacting particle systems and topics related to statistical mechanics. Graduate students and researchers in probability theory and math physics will find this book a useful reference.

Autorentext
The intersection of probability and physics has been a rich and
explosive area of growth in the past two decades. This volume contains
invited articles by leading probabilists highlighting these advances.
Major areas covered include: percolation theory, random walks,
interacting particle systems and topics related to statistical
mechanics. Graduate students and researchers in probability theory and
math physics will find this book a useful reference.

Inhalt
Randomly Coalescing Random Walk in Dimension ? 3.- The Single Droplet Theorem for Random Cluster Models.- Phase Coexistence for the KacIsing 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.- The 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.