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Large deviations and metastability:

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Bibliographische Detailangaben
Beteiligte Personen:	Olivieri, Enzo 1945- (VerfasserIn), Vares, Maria Eulália (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge [u.a.] Cambridge Univ. Press 2005
Ausgabe:	1. publ.
Schriftenreihe:	Encyclopedia of mathematics and its applications [100]
Schlagwörter:	Grote afwijkingen Large deviations Stability Große Abweichung Metastabiler Zustand Mathematische Physik Statistische Mechanik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013020139&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Bd.-Zählung nicht im Buch, von Fremddaten übernommen!
Umfang:	XV, 512 S. Ill., graph. Darst.
ISBN:	0521591635

Internformat

MARC


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Datensatz im Suchindex

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adam_text	LARGE DEVIATIONS AND METASTABILITY ENZO OLIVIERI UNIVERSITAE DI ROMA TOR VERGATA MARIA EULAELIA VARES CENTRO BRASILEIRO DE PESQUISAS FISICAS, RIO DE JANEIRO 1 CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE PAGE XI 1 LARGE DEVIATIONS: BASIC RESULTS 1 INTRODUCTION 1 1.1 CRAMER-CHERNOFF THEOREM ON R 3 1.2 ABSTRACT FORMULATION 20 1.3 SANOV THEOREM FOR FINITE ALPHABETS 28 1.4 CRAMER THEOREM ON R D 39 1.5 CRAMER THEOREM IN INFINITE DIMENSIONAL SPACES 44 1.6 EMPIRICAL MEASURES. SANOV THEOREM 56 2 SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS. BASIC ESTIMATES OF FREIDLIN AND WENTZELL 64 2.1 BROWNIAN MOTION 65 2.2 ITOE S INTEGRAL 77 2.3 ITOE S EQUATIONS 87 2.4 BASIC FREIDLIN AND WENTZELL ESTIMATES 90 2.5 FREIDLIN AND WENTZELL BASIC ESTIMATES. VARIABLE DIFFUSION COEFFICIENTS 98 2.6 EXIT FROM A DOMAIN 104 3 LARGE DEVIATIONS AND STATISTICAL MECHANICS 118 3.1 LARGE DEVIATIONS FOR DEPENDENT VARIABLES. GAERTNER-ELLIS THEOREM 118 3.2 LARGE DEVIATIONS FOR MARKOV CHAINS 125 3.3 A BRIEF INTRODUCTION TO EQUILIBRIUM STATISTICAL MECHANICS 134 3.4 LARGE DEVIATIONS FOR GIBBS MEASURES 176 VIII CONTENTS 4 METASTABILITY. GENERAL DESCRIPTION. CURIE-WEISS MODEL. CONTACT PROCESS 198 4.1 THE VAN DER WAALS-MAXWELL THEORY 198 4.2 THE PATHWISE APPROACH: BASIC DESCRIPTION 225 4.3 THE CURIE-WEISS MARKOV CHAIN 226 4.4 THE HARRIS CONTACT PROCESS 242 4.5 NOTES AND COMMENTS 277 5 METASTABILITY. MODELS OF FREIDLIN AND WENTZELL 287 5.1 THE COUPLING METHOD OF LINDVALL AND ROGERS 289 5.2 THE CASE OF A DOUBLE WELL POTENTIAL 294 5.3 GENERAL CASE. ASYMPTOTIC MAGNITUDE OF THE ESCAPE TIME 302 5.4 CYCLES AND ASYMPTOTIC UNPREDICTABILITY OF THE ESCAPE TIME 319 5.5 NOTES AND COMMENTS 329 6 REVERSIBLE MARKOV CHAINS IN THE FREIDLIN-WENTZELL REGIME 335 INTRODUCTION 337 6.1 DEFMITIONS AND NOTATION 338 6.2 MAIN RESULTS 348 6.3 RESTRICTED DYNAMICS 367 6.4 CONDITIONAL ERGODIC PROPERTIES 370 6.5 ESCAPE FROM THE BOUNDARY OF A TRANSIENT CYCLE 372 6.6 ASYMPTOTIC EXPONENTIALITY OF THE EXIT TIME 375 6.7 THE EXIT TUBE 378 6.8 DECOMPOSITION INTO MAXIMAL CYCLES 385 6.9 RENORMALIZATION 388 6.10 REDUCTION AND RECURRENCE 395 6.11 ASYMPTOTICS IN PROBABILITY OF TUNNELLING TIMES 397 7 METASTABLE BEHAVIOUR FOR LATTICE SPIN MODEIS AT LOW TEMPERATURE 399 INTRODUCTION 399 7.1 THE STANDARD STOCHASTIC ISING MODEL IN TWO DIMENSIONS 401 7.2 THE LOCAL MINIMA 406 7.3 SUBCRITICAL AND SUPERCRITICAL RECTANGLES 410 7.4 SUBCRITICAL CONFIGURATIONS AND GLOBAL SADDLES 412 7.5 ALTERNATIVE METHOD TO DETERMINE $(* 1, +1) 424 7.6 EXTENSIONS AND GENERALIZATIONS 427 7.7 THE ANISOTROPIC FERROMAGNETIC ISING MODEL IN TWO DIMENSIONS 428 7.8 ALTERNATIVE APPROACH TO STUDY OF THE J J2 MODEL 433 7.9 THE FERROMAGNETIC ISING MODEL WITH NEAREST AND NEXT NEAREST NEIGHBOUR INTERACTIONS IN TWO DIMENSIONS 438 7.10 THE FERROMAGNETIC ISING MODEL WITH ALTERNATING FIELD 443 CONTENTS IX 7.11 THE DYNAMIC BLUME-CAPEL MODEL. COMPETING METASTABLE STATES AND DIFFERENT MECHANISMS OF TRANSITION 447 7.12 METASTABILITY IN THE TWO-DIMENSIONAL ISING MODEL WITH FREE BOUNDARY CONDITIONS 454 7.13 STANDARD ISING MODEL UNDER KAWASAKI DYNAMICS 456 7.14 METASTABILITY FOR REVERSIBLE PROBABILISTIC CELLULAR AUTOMATA 476 7.15 DISCUSSION OF THE RESULTS OF BOVIER AND MANZO 480 7.16 METASTABILITY AT INFINITE VOLUME AND VERY LOW TEMPERATURE FOR THE STOCHASTIC ISING MODEL 483 7.17 METASTABILITY AT INFINITE VOLUME AND VERY LOW TEMPERATURE FOR THE DYNAMIC BLUME-CAPEL MODEL 486 7.18 METASTABILITY FOR THE INFINITE VOLUME STOCHASTIC ISING MODEL AT T T C IN THE LIMIT H - 0 488 7.19 APPLICATIONS 490 7.20 RELATED FIELDS 491 REFERENCES 493 INDEX 507
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author	Olivieri, Enzo 1945- Vares, Maria Eulália
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indexdate	2024-12-20T12:03:50Z
institution	BVB
isbn	0521591635
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-013020139
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owner	DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 DE-188
owner_facet	DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 DE-188
physical	XV, 512 S. Ill., graph. Darst.
publishDate	2005
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publisher	Cambridge Univ. Press
record_format	marc
series	Encyclopedia of mathematics and its applications
series2	Encyclopedia of mathematics and its applications
spellingShingle	Olivieri, Enzo 1945- Vares, Maria Eulália Large deviations and metastability Encyclopedia of mathematics and its applications Grote afwijkingen gtt Large deviations Stability Große Abweichung (DE-588)4330658-5 gnd Metastabiler Zustand (DE-588)4169654-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd
subject_GND	(DE-588)4330658-5 (DE-588)4169654-2 (DE-588)4037952-8 (DE-588)4056999-8
title	Large deviations and metastability
title_auth	Large deviations and metastability
title_exact_search	Large deviations and metastability
title_full	Large deviations and metastability Enzo Olivieri ; Maria Eulália Vares
title_fullStr	Large deviations and metastability Enzo Olivieri ; Maria Eulália Vares
title_full_unstemmed	Large deviations and metastability Enzo Olivieri ; Maria Eulália Vares
title_short	Large deviations and metastability
title_sort	large deviations and metastability
topic	Grote afwijkingen gtt Large deviations Stability Große Abweichung (DE-588)4330658-5 gnd Metastabiler Zustand (DE-588)4169654-2 gnd Mathematische Physik (DE-588)4037952-8 gnd Statistische Mechanik (DE-588)4056999-8 gnd
topic_facet	Grote afwijkingen Large deviations Stability Große Abweichung Metastabiler Zustand Mathematische Physik Statistische Mechanik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013020139&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000903719
work_keys_str_mv	AT olivierienzo largedeviationsandmetastability AT varesmariaeulalia largedeviationsandmetastability

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