Large deviations and metastability:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2005
|
| Edition: | 1. publ. |
| Series: | Encyclopedia of mathematics and its applications
[100] |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Bd.-Zählung nicht im Buch, von Fremddaten übernommen! |
| Physical Description: | XV, 512 S. Ill., graph. Darst. |
| ISBN: | 0521591635 |
Staff View
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Record in the Search Index
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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 | 2024-07-09T20:03:57Z |
| institution | BVB |
| isbn | 0521591635 |
| language | English |
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| physical | XV, 512 S. Ill., graph. Darst. |
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| spelling | Olivieri, Enzo 1945- Verfasser (DE-588)1146645937 aut Large deviations and metastability Enzo Olivieri ; Maria Eulália Vares 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2005 XV, 512 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Encyclopedia of mathematics and its applications [100] Bd.-Zählung nicht im Buch, von Fremddaten übernommen! Grote afwijkingen gtt Large deviations Stability Große Abweichung (DE-588)4330658-5 gnd rswk-swf Metastabiler Zustand (DE-588)4169654-2 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Statistische Mechanik (DE-588)4056999-8 s Große Abweichung (DE-588)4330658-5 s Mathematische Physik (DE-588)4037952-8 s DE-604 Metastabiler Zustand (DE-588)4169654-2 s Vares, Maria Eulália Verfasser aut Encyclopedia of mathematics and its applications [100] (DE-604)BV000903719 100 GBV Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
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