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

Abstract This paper extends recent results on ageing in mean field spin glasses on short time scales, obtained by Ben Arous and Gün (Commun Pure Appl Math 65:77–127, 2012) in law with respect to the environment, to results that hold almost surely, respectively in probability, with respect to the env...
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Autor*in:	Bovier, Anton [verfasserIn] Gayrard, Véronique Švejda, Adéla

Format:	Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	Ageing Spin glasses Random environments Clock process Lévy processes Extremal processes

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2012

Übergeordnetes Werk:	Enthalten in: Probability theory and related fields - Springer Berlin Heidelberg, 1986, 157(2012), 1-2 vom: 09. Okt., Seite 251-283
Übergeordnetes Werk:	volume:157 ; year:2012 ; number:1-2 ; day:09 ; month:10 ; pages:251-283

Links:	Volltext

DOI / URN:	10.1007/s00440-012-0456-x

Katalog-ID:	OLC2054638218

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author	Bovier, Anton
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title	Convergence to extremal processes in random environments and extremal ageing in SK models
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title_full	Convergence to extremal processes in random environments and extremal ageing in SK models
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journal	Probability theory and related fields
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author_browse	Bovier, Anton Gayrard, Véronique Švejda, Adéla
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doi_str_mv	10.1007/s00440-012-0456-x
dewey-full	510
title_sort	convergence to extremal processes in random environments and extremal ageing in sk models
title_auth	Convergence to extremal processes in random environments and extremal ageing in SK models
abstract	Abstract This paper extends recent results on ageing in mean field spin glasses on short time scales, obtained by Ben Arous and Gün (Commun Pure Appl Math 65:77–127, 2012) 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 in Aging in reversible dynamics of disordered systems. II. Emergence of the arcsine law in the random hopping time dynamics of the REM, 2010; Electron J Probab 17(58): 1–33, 2012) and naturally complements (Bovier and Gayrard in Ann Probab, 2012). © Springer-Verlag Berlin Heidelberg 2012
abstractGer	Abstract This paper extends recent results on ageing in mean field spin glasses on short time scales, obtained by Ben Arous and Gün (Commun Pure Appl Math 65:77–127, 2012) 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 in Aging in reversible dynamics of disordered systems. II. Emergence of the arcsine law in the random hopping time dynamics of the REM, 2010; Electron J Probab 17(58): 1–33, 2012) and naturally complements (Bovier and Gayrard in Ann Probab, 2012). © Springer-Verlag Berlin Heidelberg 2012
abstract_unstemmed	Abstract This paper extends recent results on ageing in mean field spin glasses on short time scales, obtained by Ben Arous and Gün (Commun Pure Appl Math 65:77–127, 2012) 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 in Aging in reversible dynamics of disordered systems. II. Emergence of the arcsine law in the random hopping time dynamics of the REM, 2010; Electron J Probab 17(58): 1–33, 2012) and naturally complements (Bovier and Gayrard in Ann Probab, 2012). © Springer-Verlag Berlin Heidelberg 2012
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container_issue	1-2
title_short	Convergence to extremal processes in random environments and extremal ageing in SK models
url	https://doi.org/10.1007/s00440-012-0456-x
remote_bool	false
author2	Gayrard, Véronique Švejda, Adéla
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doi_str	10.1007/s00440-012-0456-x
up_date	2024-07-03T23:46:45.216Z
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