Academic Journal

On a representation of Gibbs measure for R.E.M.

التفاصيل البيبلوغرافية
العنوان: On a representation of Gibbs measure for R.E.M.
المؤلفون: Kratz, Marie, Picco, P.
المساهمون: Mathématiques Appliquées Paris 5 (MAP5 - UMR 8145), Université Paris Descartes - Paris 5 (UPD5)-Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques (INSMI-CNRS)-Centre National de la Recherche Scientifique (CNRS), Statistique Appliquée et MOdélisation Stochastique (SAMOS), Université Paris 1 Panthéon-Sorbonne (UP1), Modélisation Appliquée, Trajectoires Institutionnelles et Stratégies Socio-Économiques (MATISSE - UMR 8595), Université Paris 1 Panthéon-Sorbonne (UP1)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 6207 (CPT), Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
المصدر: ISSN: 1050-5164.
بيانات النشر: HAL CCSD
Institute of Mathematical Statistics (IMS)
سنة النشر: 2004
المجموعة: Université de Toulon: HAL
مصطلحات موضوعية: Extremes, Finite Markov processes, Gaussian r.v, Order Statistics, Random Spin Systems, Uniform r.v, AMS Primary 62G30,82B44, secondary 62G32, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
الوصف: pp 651-677 ; International audience ; In this work we consider a problem related to the equilibrium Statistical Mechanics of Spin Glasses, namely the study of the Gibbs measure of the Random Energy Model. For solving this problem new results of independent interest on sums of spacings for i.i.d. Gaussian random variables are presented. Then we give a precise description of the support of the Gibbs measure below the critical temperature.
نوع الوثيقة: article in journal/newspaper
اللغة: English
Relation: hal-00171270; https://hal.science/hal-00171270
الاتاحة: https://hal.science/hal-00171270
رقم الانضمام: edsbas.9BCF5343
قاعدة البيانات: BASE