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Full Description
Harry Kesten has had a profound influence on probability theory for over 30 years. To honour his achievements a number of prominent probabilists have written survey articles on a wide variety of active areas of contemporary probability, many of which are closely related to Kesten's work.
Contents
Harry Kesten's publications - a personal perspective, Rick Durrett; lattice trees, percolation, and super-Brownian motion, Gordon Slade; percolation in infinity+1 dimensions at the uniqueness threshold, Roberto Schonmann; percolation on transitive graphs as a coalescent process - relentless merging followed by simultaneous uniqueness, Olle Haggstrom et al; inequalities and entanglements for percolation and random cluster models, Goeff Grimmett; from greedy lattice animals to first passage percolation, Doug Howard, Charles Newman; reverse shapes in first passage percolation and related growth models, Janko Gravner, David Griffeath; double behaviours of critical first passage percolation, Yu Zhang; the Van Den Berg-Kesten-Reimer inequality - a review, Christian Borgs et al; large scale degrees and the number of spanning clusters of the uniform spanning tree, Itai Benjamini; on the absence of phase transition in the monomer-dimer model, J. van den Berg; loop erased random walk, Greg Lawler; dominance of the sum over the maximum and some new classes of stochastic compactness, Phil Griffin, Ross Maller; stability and heavy traffic limits for queuing networks, Maury Bramson; rescaled particle systems converging to super-Brownian motion, Jean-Francois Le Gall; branching random walks on finite trees, Tom Liggett; Toom's stability theorem in continuous time, Larry Gray; the role of explicit space in plant competition models, Claudia Neuhauser; large derivations for the simple exclusion process, Srinivasa Varadhan; the Gibbs conditioning principle for Markov chains, Ana Meda, Peter Ney.