Convergence of clock processes in random environments and ageing in the \(p\)-spin SK model

DOI10.1214/11-AOP705zbMath1267.82114arXiv1008.3839MaRDI QIDQ1951691

Anton Bovier, Véronique Gayrard

Publication date: 24 May 2013

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

Full work available at URL: https://arxiv.org/abs/1008.3839

zbMATH Keywords

Lévy processesclock processspin glassesrandom environmentsagingrandom dynamics

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

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Spectral gap estimates in mean field spin glasses, Dynamical freezing in a spin glass system with logarithmic correlations, Infinite level GREM-like K-processes existence and convergence, Convergence to extremal processes in random environments and extremal ageing in SK models, Aging in metropolis dynamics of the REM: a proof, Asymptotic behavior of a low-temperature non-cascading 2-GREM dynamics at extreme time scales, The \(K\)-process on a tree as a scaling limit of the GREM-like trap model, Dynamic Phase Diagram of the REM, Aging of asymmetric dynamics on the random energy model, Dynamics of mean field spin glasses on short and long timescales, Asymptotic behavior and aging of a low temperature cascading 2-GREM dynamics at extreme time scales, Bounding flows for spherical spin glass dynamics, On the spectral gap of spherical spin glass dynamics, Universality and extremal aging for dynamics of spin glasses on subexponential time scales, Convergence of clock processes and aging in Metropolis dynamics of a truncated REM

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