In and Out of Equilibrium: Probability with a Physics Flavor

ISBN-13: 9781461265955 / Angielski / Miękka / 2012 / 472 str.

Vladas Sidoravicius

Opis

This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom were personally responsible for advances in the various subfields of probability. Graduate students and researchers in probability theory and math physics will find this book a useful reference.

Spis treści

Van den Berg, J., Kesten, H.: Randomly Coalescing Random Walk in Dimension = 3 * Alexander, K.: The Single Droplet Theorem for Random Cluster Models * Bodineau, T.: Phase Coexistence for the Kac Ising Models * Lawler, G.F., Schramm, O., Werner, W.: Sharp Estimates for Brownian Non-intersection Probabilities * Liggett, T.M.: Tagged Particle Distributions or How to Choose a Head at Random * Camia, F., Newman, C.M., Sidoravicius, V.: Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice * Prahofer, M., Spohn, H.: Current Fluctuations for the Totally Asymmetric Simple Exclusion Process * Wuthrich, M.V.: Asymptotic Behaviour of Semi-Infinite Geodesics for Maximal Increasing Subsequences in the Plane * Toth, B., Werner, W.: Hydrodynamic Equation for a Deposition Model * Quastel, J.: Time Reversal of Degenerate Diffusions * Cancrini, N., Martinelli, F., Roberto, C.: Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited * Grimmett, G., Hiemer, P.: Directed Percolation and Random Walk * Holroyd, A.E.: Entanglement and Rigidity In Percolation Models * Toom, A.: On Critical Values for Some Random Processes with Local Interaction in R^2 * Azais, J.-M., Wschebor, M.: The Distribution of the Maximum of a Gaussian Process: Rice Method Revisited * Lorinczi, J.: Gibbs Measures on Brownian Paths * Ueltschi, D.: Geometric and Probabilistic Aspects of Boson Lattice Models * Pfister, C.-E.: Thermodynamical Aspects of Classical Lattice Systems

O autorze

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.