The \(K\)-process on a tree as a scaling limit of the GREM-like trap model

DOI10.1214/13-AAP937zbMath1302.60133arXiv1202.4104MaRDI QIDQ2448697

Véronique Gayrard, Renato J. Gava, Luiz Renato G. Fontes

Publication date: 5 May 2014

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

Full work available at URL: https://arxiv.org/abs/1202.4104

zbMATH Keywords

treescaling limitrandom environmentscomplete graphrandom dynamicstrap models\(K\)-processaging behaviorgeneralized random energy model (GREM)infninite volume limitrandom energy model (REM)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Time-dependent percolation in statistical mechanics (82C43)

Related Items

Dynamical freezing in a spin glass system with logarithmic correlations ⋮ Infinite level GREM-like K-processes existence and convergence ⋮ Asymptotic behavior of a low-temperature non-cascading 2-GREM dynamics at extreme time scales ⋮ Asymptotic behavior and aging of a low temperature cascading 2-GREM dynamics at extreme time scales

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