Perplexing Problems in Probability

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.

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.