Ebook: Perplexing Problems in Probability: Festschrift in Honor of Harry Kesten

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Content:
Front Matter....Pages i-x
Harry Kesten’s Publications....Pages 1-33
Lattice Trees, Percolation and Super-Brownian Motion....Pages 35-51
Percolation in ? + 1 Dimensions at the Uniqueness Threshold....Pages 53-67
Percolation on Transitive Graphs as a Coalescent Process: Relentless Merging Followed by Simultaneous Uniqueness....Pages 69-90
Inequalities and Entanglements for Percolation and Random-Cluster Models....Pages 91-105
From Greedy Lattice Animals to Euclidean First-Passage Percolation....Pages 107-119
Reverse Shapes in First-Passage Percolation and Related Growth Models....Pages 121-142
Double Behavior of Critical First-Passage Percolation....Pages 143-158
The van den Berg-Kesten-Reimer Inequality: A Review....Pages 159-173
Large Scale Degrees and the Number of Spanning Clusters for the Uniform Spanning Tree....Pages 175-183
On the Absence of Phase Transition in the Monomer-Dimer Model....Pages 185-195
Loop-Erased Random Walk....Pages 197-217
Dominance of the Sum over the Maximum and Some New Classes of Stochastic Compactness....Pages 219-245
Stability and Heavy Traffic Limits for Queueing Networks....Pages 247-267
Rescaled Particle Systems Converging to Super-Brownian Motion....Pages 269-284
The Hausdorff Measure of the Range of Super-Brownian Motion....Pages 285-314
Branching Random Walks on Finite Trees....Pages 315-330
Toom’s Stability Theorem in Continuous Time....Pages 331-353
The Role of Explicit Space in Plant Competition Models....Pages 355-371
Large Deviations for Interacting Particle Systems....Pages 373-383
The Gibbs Conditioning Principle for Markov Chains....Pages 385-398

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Content:
Front Matter....Pages i-x
Harry Kesten’s Publications....Pages 1-33
Lattice Trees, Percolation and Super-Brownian Motion....Pages 35-51
Percolation in ? + 1 Dimensions at the Uniqueness Threshold....Pages 53-67
Percolation on Transitive Graphs as a Coalescent Process: Relentless Merging Followed by Simultaneous Uniqueness....Pages 69-90
Inequalities and Entanglements for Percolation and Random-Cluster Models....Pages 91-105
From Greedy Lattice Animals to Euclidean First-Passage Percolation....Pages 107-119
Reverse Shapes in First-Passage Percolation and Related Growth Models....Pages 121-142
Double Behavior of Critical First-Passage Percolation....Pages 143-158
The van den Berg-Kesten-Reimer Inequality: A Review....Pages 159-173
Large Scale Degrees and the Number of Spanning Clusters for the Uniform Spanning Tree....Pages 175-183
On the Absence of Phase Transition in the Monomer-Dimer Model....Pages 185-195
Loop-Erased Random Walk....Pages 197-217
Dominance of the Sum over the Maximum and Some New Classes of Stochastic Compactness....Pages 219-245
Stability and Heavy Traffic Limits for Queueing Networks....Pages 247-267
Rescaled Particle Systems Converging to Super-Brownian Motion....Pages 269-284
The Hausdorff Measure of the Range of Super-Brownian Motion....Pages 285-314
Branching Random Walks on Finite Trees....Pages 315-330
Toom’s Stability Theorem in Continuous Time....Pages 331-353
The Role of Explicit Space in Plant Competition Models....Pages 355-371
Large Deviations for Interacting Particle Systems....Pages 373-383
The Gibbs Conditioning Principle for Markov Chains....Pages 385-398
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