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

Abstract

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].

Revised version contains minor changes

References in corpus (2)

• Aging in reversible dynamics of disordered systems. II. Emergence of the arcsine law in the random hopping time dynamics of the REM
• Universality and extremal aging for dynamics of spin glasses on sub-exponential time scales

Cited by in corpus (4)

• On the Spectral Gap of Spherical Spin Glass Dynamics
• The K-process on a tree as a scaling limit of the GREM-like trap model
• Extremal Aging For Trap Models
• Functional limit theorems for the Bouchaud trap model with slowly varying traps