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

Anton Bovier, Veronique Gayrard, Adela Svejda

Published 2012-01-10, updated 2012-10-02Version 2

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].