Recurrent Random Walk of an Infinite Particle System

DOI10.2307/1996754zbMath0321.60087OpenAlexW4242647391MaRDI QIDQ4082803

Frank Spitzer

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/1996754

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ergodic theory of linear operators (47A35)

Related Items

A Characterization of the Invariant Measures for an Infinite Particle System with Interactions. II, Pointwise ergodic theorems for the symmetric exclusion process, The 1996 Wald memorial lectures. Stochastic models of interacting systems, Unnamed Item, Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles, Some ergodic theorems for a parabolic Anderson model, Exclusion processes with multiple interactions, On the equilibrium state of the one-dimensional near-symmetric simple exclusion process, [https://portal.mardi4nfdi.de/wiki/Publication:4153440 Une classe de syst�mes de particules stable par association], Random time evolution of infinite particle systems, Random systems in ultrametric spaces, Ergodic Theorems for the Asymmetric Simple Exclusion Process, The noisy voter-exclusion process

Cites Work

• Interaction of Markov processes
• Recent results on the stochastic Ising model
• A Characterization of the Invariant Measures for an Infinite Particle System with Interactions
• Symmetric Measures on Cartesian Products
• An ergodic theorem for Markov chains
• A Characterization of the Invariant Measures for an Infinite Particle System with Interactions. II
• Existence Theorems for Infinite Particle Systems
• An ergodic theorem for interacting systems with attractive interactions