K-processes, scaling limit and aging for the trap model in the complete graph

DOI10.1214/07-AOP360zbMath1154.60073arXiv0808.3494MaRDI QIDQ941298

Luiz Renato G. Fontes, Pierre Mathieu

Publication date: 4 September 2008

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

Full work available at URL: https://arxiv.org/abs/0808.3494

zbMATH Keywords

Markov processesspin glassesscalingDirichlet formGlauber dynamicsrandom energy modelcomplete graphagingtrap modelsdenumerable state spaceKolmogorov (K) processLevy characterisation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (11)

Dynamical freezing in a spin glass system with logarithmic correlations ⋮ Infinite level GREM-like K-processes existence and convergence ⋮ On the speed and spectrum of mean-field random walks among random conductances ⋮ Metastable Markov chains ⋮ Asymptotic behavior of a low-temperature non-cascading 2-GREM dynamics at extreme time scales ⋮ Quenched scaling limits of trap models ⋮ The \(K\)-process on a tree as a scaling limit of the GREM-like trap model ⋮ Aging of asymmetric dynamics on the random energy model ⋮ Spectrum of large random reversible Markov chains: heavy-tailed weights on the complete graph ⋮ Scaling limit of the random walk among random traps on \(\mathbb Z^{d}\) ⋮ Principal eigenvalue for the random walk among random traps on \({\mathbb{Z}}^{d}\)

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