Convergence to extremal processes in random environments and extremal ageing in SK models

Anton Bovier (1) , Véronique Gayrard (2) , Adéla Švejda

1 Institut für Angewandte Mathematik
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

This paper extends recent results on aging in mean field spin glasses on short time scales, obtained by Ben Arous and Gun [2] in law with respect to the environment, to results that hold almost surely, respectively in probability, with respect to the environment. It is based on the methods put forward in Gayrard [8,9] and naturally complements Bovier and Gayrard [6].

Domaines: Physique mathématique [math-ph]

Anton Bovier, Véronique Gayrard, Adéla Švejda. Convergence to extremal processes in random environments and extremal ageing in SK models. Probability Theory and Related Fields, 2013, 157 (1-2), ⟨10.1007/s00440-012-0456-x⟩. ⟨hal-01256630⟩