Metastability: a potential-theoretic approach
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| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cham
Springer
[2015]
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| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
351 |
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 Volltext Abstract Inhaltsverzeichnis |
| Beschreibung: | 1 Online Ressource (XXI, 581 Seiten, 96 illus., 82 illus. in color) |
| ISBN: | 9783319247779 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-319-24777-9 |
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Datensatz im Suchindex
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| adam_text |
METASTABILITY
/ BOVIER, ANTON
: 2015
ABSTRACT / INHALTSTEXT
METASTABILITY IS A WIDE-SPREAD PHENOMENON IN THE DYNAMICS OF NON-LINEAR
SYSTEMS - PHYSICAL, CHEMICAL, BIOLOGICAL OR ECONOMIC - SUBJECT TO THE
ACTION OF TEMPORAL RANDOM FORCES TYPICALLY REFERRED TO AS NOISE. THIS
MONOGRAPH PROVIDES A CONCISE PRESENTATION OF MATHEMATICAL APPROACH TO
METASTABILITY BASED ON POTENTIAL THEORY OF REVERSIBLE MARKOV PROCESSES.
THE AUTHORS SHED NEW LIGHT ON THE METASTABILITY PHENOMENON AS A SEQUENCE
OF VISITS OF THE PATH OF THE PROCESS TO DIFFERENT METASTABLE SETS, AND
FOCUS ON THE PRECISE ANALYSIS OF THE RESPECTIVE HITTING PROBABILITIES
AND HITTING TIMES OF THESE SETS. THE THEORY IS ILLUSTRATED WITH MANY
EXAMPLES, RANGING FROM FINITE-STATE MARKOV CHAINS, FINITE-DIMENSIONAL
DIFFUSIONS AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS, VIA MEAN-FIELD
DYNAMICS WITH AND WITHOUT DISORDER, TO STOCHASTIC SPIN-FLIP AND
PARTICLE-HOPPING DYNAMICS AND PROBABILISTIC CELLULAR AUTOMATA, UNVEILING
THE COMMON UNIVERSAL FEATURES OF THESE SYSTEMS WITH RESPECT TO THEIR
METASTABLE BEHAVIOUR. THE MONOGRAPH WILL SERVE BOTH AS COMPREHENSIVE
INTRODUCTION AND AS REFERENCE FOR GRADUATE STUDENTS AND RESEARCHERS
INTERESTED IN METASTABILITY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
METASTABILITY
/ BOVIER, ANTON
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PART I INTRODUCTION
1.BACKGROUND AND MOTIVATION
2.AIMS AND SCOPES
PART II MARKOV PROCESSES 3.SOME BASIC NOTIONS FROM PROBABILITY THEORY
4.MARKOV PROCESSES IN DISCRETE TIME.-5.MARKOV PROCESSES IN CONTINUOUS
TIME
6.LARGE DEVIATIONS
7.POTENTIAL THEORY
PART III METASTABILITY
8.KEY DEFINITIONS AND BASIC PROPERTIES
9.BASIC TECHNIQUES
PART IV APPLICATIONS: DIFFUSIONS WITH SMALL NOISE
10.DISCRETE REVERSIBLE DIFFUSIONS
11.DIFFUSION PROCESSES WITH GRADIENT DRIFT
12.STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
PART V APPLICATIONS: COARSE-GRAINING AT POSITIVE TEMPERATURES
13.THE CURIE-WEISS MODEL
14.THE CURIE-WEISS MODEL WITH A RANDOM MAGNETIC FIELD: DISCRETE
DISTRIBUTIONS
15.THE CURIE-WEISS MODEL WITH RANDOM MAGNETIC FIELD: CONTINUOUS
DISTRIBUTIONS
PART VI APPLICATIONS: LATTICE SYSTEMS IN SMALL VOLUMES AT LOW
TEMPERATURES
16.ABSTRACT SET-UP AND METASTABILITY IN THE ZERO-TEMPERATURE LIMIT
17.GLAUBER DYNAMICS
18.KAWASAKI DYNAMICS
PART VII APPLICATIONS: LATTICE SYSTEMS IN LARGE VOLUMES AT LOW
TEMPERATURES
19.GLAUBER DYNAMICS
20.KAWASAKI DYNAMICS
PART VIII APPLICATIONS: LATTICE SYSTEMS IN SMALL VOLUMES AT HIGH
DENSITIES
21.THE ZERO-RANGE PROCESS
PART IX CHALLENGES
22.CHALLENGES WITHIN METASTABILITY
23.CHALLENGES BEYOND METASTABILITY
REFERENCES.-GLOSSARY
INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-24777-9 |
| format | Electronic eBook |
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| spelling | Bovier, Anton 1957- Verfasser (DE-588)109223829 aut Metastability a potential-theoretic approach Anton Bovier, Frank den Hollander Cham Springer [2015] © 2015 1 Online Ressource (XXI, 581 Seiten, 96 illus., 82 illus. in color) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften 351 0072-7830 Mathematics Probabilities Mathematical physics Physics Probability Theory and Stochastic Processes Mathematical Physics Theoretical, Mathematical and Computational Physics Mathematik Mathematische Physik Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Metastabilität (DE-588)4132888-7 gnd rswk-swf Potenzialtheorie (DE-588)4046939-6 gnd rswk-swf Metastabilität (DE-588)4132888-7 s Markov-Prozess (DE-588)4134948-9 s Potenzialtheorie (DE-588)4046939-6 s DE-604 Hollander, Frank den 1956- Verfasser (DE-588)111877741 aut Erscheint auch als Druckausgabe 978-3-319-24775-5 Grundlehren der mathematischen Wissenschaften 351 (DE-604)BV049758308 351 https://doi.org/10.1007/978-3-319-24777-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840387&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840387&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bovier, Anton 1957- Hollander, Frank den 1956- Metastability a potential-theoretic approach Grundlehren der mathematischen Wissenschaften Mathematics Probabilities Mathematical physics Physics Probability Theory and Stochastic Processes Mathematical Physics Theoretical, Mathematical and Computational Physics Mathematik Mathematische Physik Markov-Prozess (DE-588)4134948-9 gnd Metastabilität (DE-588)4132888-7 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4132888-7 (DE-588)4046939-6 |
| title | Metastability a potential-theoretic approach |
| title_auth | Metastability a potential-theoretic approach |
| title_exact_search | Metastability a potential-theoretic approach |
| title_full | Metastability a potential-theoretic approach Anton Bovier, Frank den Hollander |
| title_fullStr | Metastability a potential-theoretic approach Anton Bovier, Frank den Hollander |
| title_full_unstemmed | Metastability a potential-theoretic approach Anton Bovier, Frank den Hollander |
| title_short | Metastability |
| title_sort | metastability a potential theoretic approach |
| title_sub | a potential-theoretic approach |
| topic | Mathematics Probabilities Mathematical physics Physics Probability Theory and Stochastic Processes Mathematical Physics Theoretical, Mathematical and Computational Physics Mathematik Mathematische Physik Markov-Prozess (DE-588)4134948-9 gnd Metastabilität (DE-588)4132888-7 gnd Potenzialtheorie (DE-588)4046939-6 gnd |
| topic_facet | Mathematics Probabilities Mathematical physics Physics Probability Theory and Stochastic Processes Mathematical Physics Theoretical, Mathematical and Computational Physics Mathematik Mathematische Physik Markov-Prozess Metastabilität Potenzialtheorie |
| url | https://doi.org/10.1007/978-3-319-24777-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840387&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028840387&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV049758308 |
| work_keys_str_mv | AT bovieranton metastabilityapotentialtheoreticapproach AT hollanderfrankden metastabilityapotentialtheoreticapproach |