Critical phenomena for Spitzer's reversible nearest particle systems
From MaRDI portal
Publication:1171334
DOI10.1214/aop/1176993711zbMath0498.60090OpenAlexW2059181747MaRDI QIDQ1171334
David Griffeath, Thomas M. Liggett
Publication date: 1982
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176993711
critical exponentsphase transitioncritical valuesreversibilityinteracting particle systemscontact modelrecurrence and transience
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Phase transitions (general) in equilibrium statistical mechanics (82B26)
Related Items
Critical exponents for a reversible nearest particle system on the binary tree. ⋮ Multidimensional random walks in random environments with subclassical limiting behavior ⋮ Variational formulas for the exit time of hunt processes generated by semi-Dirichlet forms ⋮ A subdiffusive behaviour of recurrent random walk in random environment on a regular tree ⋮ Quasi-nearest particle systems ⋮ Finite nearest particle systems ⋮ A phase transition for the coupled branching process. I: The ergodic theory in the range of finite second moments ⋮ Potential distribution on random electrical networks ⋮ Characterization of equilibrium measures for critical reversible nearest particle systems ⋮ Random walk on the Speiser graph of a Riemann surface ⋮ The type problem for random walks on trees ⋮ Recurrent networks and a theorem of Nash-Williams ⋮ Finite approximations to the critical reversible nearest particle system ⋮ Variational formulas for asymptotic variance of general discrete-time Markov chains ⋮ Infinite reversible nearest particle systems in inhomogeneous and random environments ⋮ Applications of the Dirichlet principle to finite reversible nearest particle systems ⋮ Admissible estimation, Dirichlet principles and recurrence of birth-death chains on \({\mathbb{Z}}^ p_+\)
