T. E. Harris' contributions to interacting particle systems and percolation

DOI10.1214/10-AOP593zbMath1213.60159arXiv1103.1988OpenAlexW1971587059MaRDI QIDQ2431512

Thomas M. Liggett

Publication date: 15 April 2011

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1988

zbMATH Keywords

percolationcorrelation inequalitiesexclusion processescontact processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

Percolation Operators and Related Models ⋮ Concentration of multi-overlaps for random dilute ferromagnetic spin models ⋮ Fleming-Viot particle system driven by a random walk on \(\mathbb {N}\)

Cites Work

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• Two-dimensional critical percolation: the full scaling limit
• The motion of a tagged particle in the simple symmetric exclusion system on Z
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• The critical probability of bond percolation on the square lattice equals 1/2
• Interaction of Markov processes
• Contact interactions on a lattice
• Correlation inequalities on some partially ordered sets
• On a class of set-valued Markov processes
• Additive set-valued Markov processes and graphical methods
• A correlation inequality for Markov processes in partially ordered state spaces
• Additive and cancellative interacting particle systems
• Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
• Random stirring of the real line
• A contact process with mutations on a tree
• Stochastic domination: the contact process, Ising models and FKG measures
• A class of interactions in an infinite particle system
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• The critical contact process dies out
• Negative dependence and the geometry of polynomials
• Some conditional correlation inequalities for percolation and related processes
• Percolation
• Towards conformal invariance of 2D lattice models
• Conformal invariance and $2D$ statistical physics
• Diffusion with “collisions” between particles
• Existence Theorems for Infinite Particle Systems

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