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Concentration of the Clock Process Normalisation for the Metropolis Dynamics of the REM

Černý, Jiří. (2019) Concentration of the Clock Process Normalisation for the Metropolis Dynamics of the REM. In: Statistical Mechanics of Classical and Disordered Systems. Cham, pp. 95-110.

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Official URL: https://edoc.unibas.ch/73673/

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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.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Wahrscheinlichkeitstheorie (Cerny)
UniBasel Contributors:Černý, Jiří
Item Type:Conference or Workshop Item, refereed
Conference or workshop item Subtype:Conference Paper
Publisher:Springer
ISBN:978-3-030-29076-4
e-ISBN:978-3-030-29077-1
Series Name:Springer Proceedings in Mathematics & Statistics
Issue Number:293
Note:Publication type according to Uni Basel Research Database: Conference paper
Identification Number:
Last Modified:26 Feb 2021 04:10
Deposited On:11 Mar 2020 09:59

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