Perplexing problems in probability : festschrift in honor of Harry Kesten
著者
書誌事項
Perplexing problems in probability : festschrift in honor of Harry Kesten
(Progress in probability / series editors, Thomas Liggett, Charles Newman, Loren Pitt, 44)
Birkhauser, c1999
- : us
- : sz
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内容説明・目次
- 巻冊次
-
: us ISBN 9780817640934
内容説明
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.
目次
1 Harry Kesten’s Publications: A Personal Perspective.- 2 Lattice Trees, Percolation and Super-Brownian Motion.- 3 Percolation in ? + 1 Dimensions at the Uniqueness Threshold.- 4 Percolation on Transitive Graphs as a Coalescent Process: Relentless Merging Followed by Simultaneous Uniqueness.- 5 Inequalities and Entanglements for Percolation and Random-Cluster Models.- 6 From Greedy Lattice Animals to Euclidean First-Passage Percolation.- 7 Reverse Shapes in First-Passage Percolation and Related Growth Models.- 8 Double Behavior of Critical First-Passage Percolation.- 9 The van den Berg-Kesten-Reimer Inequality: A Review.- 10 Large Scale Degrees and the Number of Spanning Clusters for the Uniform Spanning Tree.- 11 On the Absence of Phase Transition in the Monomer-Dimer Model.- 12 Loop-Erased Random Walk.- 13 Dominance of the Sum over the Maximum and Some New Classes of Stochastic Compactness.- 14 Stability and Heavy Traffic Limits for Queueing Networks.- 15 Rescaled Particle Systems Converging to Super-Brownian Motion.- 16 The Hausdorff Measure of the Range of Super-Brownian Motion.- 17 Branching Random Walks on Finite Trees.- 18 Toom’s Stability Theorem in Continuous Time.- 19 The Role of Explicit Space in Plant Competition Models.- 20 Large Deviations for Interacting Particle Systems.- 21 The Gibbs Conditioning Principle for Markov Chains.
- 巻冊次
-
: sz ISBN 9783764340933
内容説明
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.
目次
- 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.
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