Percolation techniques in disordered spin flip dynamics: Relaxation to the unique invariant measure

DOI10.1007/BF02102431zbMath0851.60096MaRDI QIDQ1918088

Christian Maes, Guy Gielis

Publication date: 4 November 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

contact processlattice spin systemsspeed of convergenceunique invariant measureergodicity of spin flip dynamicspercolation problem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Percolation (82B43)

Related Items (3)

Unnamed Item ⋮ The spectral gap of the REM under Metropolis dynamics ⋮ The uniqueness regime of Gibbs fields with unbounded disorder.

Cites Work

• Unnamed Item
• Localization in the ground state of the Ising model with a random transverse field
• Exponential decay for subcritical contact and percolation processes
• Disagreement percolation in the study of Markov fields
• The uniqueness regime of Gibbs fields with unbounded disorder.
• Taming Griffiths' singularities: Infinite differentiability of quenched correlation functions
• Strong decay to equilibrium in one-dimensional random spin systems

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