Stochastic time evolution of one dimensional infinite particle systems

DOI10.1090/S0002-9904-1977-14322-XzbMath0372.60149MaRDI QIDQ4148785

Frank Spitzer

Publication date: 1977

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Renewal theory (60K05)

Related Items (17)

Critical exponents for a reversible nearest particle system on the binary tree. ⋮ Some monotonicity and dependence properties of self-exciting point processes ⋮ On the survival probability of generalized nearest-particle systems ⋮ Unnamed Item ⋮ Quasi-nearest particle systems ⋮ Finite nearest particle systems ⋮ Contact process on a dynamical long range percolation ⋮ Characterization of equilibrium measures for critical reversible nearest particle systems ⋮ Processus de vie et de mort sur ? avec interaction selon les particules les plus proches ⋮ Generalized potlatch and smoothing processes ⋮ Nearest neighbor birth and death processes on the real line ⋮ Long-range contact process and percolation on a random lattice ⋮ The reversible measures for symmetric nearest-particle systems. ⋮ Finite approximations to the critical reversible nearest particle system ⋮ Inhomogeneous approximation of the critical nearest particle systems ⋮ Infinite reversible nearest particle systems in inhomogeneous and random environments ⋮ Applications of the Dirichlet principle to finite reversible nearest particle systems

Cites Work

• Unnamed Item
• Unnamed Item
• Interaction of Markov processes
• Controlled spin-flip systems
• Nearest neighbor birth and death processes on the real line
• Zur Umkehrbarkeit der statistischen Naturgesetze
• Unendlich-dimensionale Wienerprozesse mit Wechselwirkung

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