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Statistical Mechanics of Classical and Disordered Systems
Place of Conference
Marseille
Year of Conference
2018
Publisher
Springer
Place of Publication
Cham
Pages
95-110
ISSN/ISBN
978-3-030-29076-4 ; 978-3-030-29077-1
Keywords
Spin glasses, Metropolis dynamics, Random Energy Model, Aging
Abstract
In Černý and Wassmer (Probab. Theory Relat. Fields 167:253–303, 2017) [8], it was shown that the clock process associated with the Metropolis dynamics of the Random Energy Model converges to an α-stable process, after being scaled by a random, Hamiltonian dependent, normalisation. We prove here that this random normalisation can be replaced by a deterministic one.
