Perplexing Problems in Probability

Inhaltsverzeichnis

• 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.