The Sherrington-Kirkpatrick model:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461462880 9781461462897 |
| DOI: | 10.1007/978-1-4614-6289-7 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804150204701605888 |
|---|---|
| adam_text | THE SHERRINGTON-KIRKPATRICK MODEL
/ PANCHENKO, DMITRY
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1 THE FREE ENERGY AND GIBBS MEASURE
2 THE RUELLE PROBABILITY CASCADES
3 THE PARISI FORMULA
4 TOWARD A GENERALIZED PARISI ANSATZ
A APPENDIX
BIBLIOGRAPHY
NOTES AND COMMENTS
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE SHERRINGTON-KIRKPATRICK MODEL
/ PANCHENKO, DMITRY
: 2013
ABSTRACT / INHALTSTEXT
THE CELEBRATED PARISI SOLUTION OF THE SHERRINGTON-KIRKPATRICK MODEL FOR
SPIN GLASSES IS ONE OF THE MOST IMPORTANT ACHIEVEMENTS IN THE FIELD OF
DISORDERED SYSTEMS. OVER THE LAST THREE DECADES, THROUGH THE EFFORTS OF
THEORETICAL PHYSICISTS AND MATHEMATICIANS, THE ESSENTIAL ASPECTS OF THE
PARISI SOLUTION WERE CLARIFIED AND PROVED MATHEMATICALLY. THE CORE IDEAS
OF THE THEORY THAT EMERGED ARE THE SUBJECT OF THIS BOOK, INCLUDING THE
RECENT SOLUTION OF THE PARISI ULTRAMETRICITY CONJECTURE AND A
CONCEPTUALLY SIMPLE PROOF OF THE PARISI FORMULA FOR THE FREE ENERGY. THE
TREATMENT IS SELF-CONTAINED AND SHOULD BE ACCESSIBLE TO GRADUATE
STUDENTS WITH A BACKGROUND IN PROBABILITY THEORY, WITH NO PRIOR
KNOWLEDGE OF SPIN GLASSES. THE METHODS INVOLVED IN THE ANALYSIS OF THE
SHERRINGTON-KIRKPATRICK MODEL ALSO SERVE AS A GOOD ILLUSTRATION OF SUCH
CLASSICAL TOPICS IN PROBABILITY AS THE GAUSSIAN INTERPOLATION AND
CONCENTRATION OF MEASURE, POISSON PROCESSES, AND REPRESENTATION RESULTS
FOR EXCHANGEABLE ARRAYS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Panchenko, Dmitri |
| author_facet | Panchenko, Dmitri |
| author_role | aut |
| author_sort | Panchenko, Dmitri |
| author_variant | d p dp |
| building | Verbundindex |
| bvnumber | BV040912893 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
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| dewey-full | 538.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 538 - Magnetism |
| dewey-raw | 538.4 |
| dewey-search | 538.4 |
| dewey-sort | 3538.4 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4614-6289-7 |
| format | Electronic eBook |
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| spelling | Panchenko, Dmitri Verfasser aut The Sherrington-Kirkpatrick model Dmitry Panchenko New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Spinglas (DE-588)4138228-6 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s Spinglas (DE-588)4138228-6 s DE-604 https://doi.org/10.1007/978-1-4614-6289-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892186&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Panchenko, Dmitri The Sherrington-Kirkpatrick model Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Spinglas (DE-588)4138228-6 gnd |
| subject_GND | (DE-588)4121894-2 (DE-588)4138228-6 |
| title | The Sherrington-Kirkpatrick model |
| title_auth | The Sherrington-Kirkpatrick model |
| title_exact_search | The Sherrington-Kirkpatrick model |
| title_full | The Sherrington-Kirkpatrick model Dmitry Panchenko |
| title_fullStr | The Sherrington-Kirkpatrick model Dmitry Panchenko |
| title_full_unstemmed | The Sherrington-Kirkpatrick model Dmitry Panchenko |
| title_short | The Sherrington-Kirkpatrick model |
| title_sort | the sherrington kirkpatrick model |
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| topic_facet | Wahrscheinlichkeitsverteilung Spinglas |
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