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

Mathematics – Probability

Scientific paper

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Scientific paper

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].

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