The self-avoiding walk:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Ausgabe: | Reprint of the 1996 ed. |
| Schriftenreihe: | Modern Birkhäuser classics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461460244 9781461460251 |
| DOI: | 10.1007/978-1-4614-6025-1 |
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Datensatz im Suchindex
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| adam_text | THE SELF-AVOIDING WALK
/ MADRAS, NEAL
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE.- INTRODUCTION
SCALING, POLYMERSAND SPINS
SOME COMBINATORIAL BOUNDS
DECAY OF THE TWO-POINT FUNCTION
THE LACE EXPANSION
ABOVE FOUR DIMENSIONS
PATTERN THEOREMS
POLYGONS, SLABS, BRIDGESAND KNOTS
ANALYSIS OF MONTE CARLO METHODS
RELATED TOPICS
RANDOM WALK
PROOF OF THE RENEWAL THEOREM
TABLES OF EXACT ENUMERATIONS
BIBLIOGRAPHY
NOTATION
INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE SELF-AVOIDING WALK
/ MADRAS, NEAL
: 2013
ABSTRACT / INHALTSTEXT
THE SELF-AVOIDING WALK IS A MATHEMATICAL MODEL THAT HAS IMPORTANT
APPLICATIONS IN STATISTICAL MECHANICS AND POLYMER SCIENCE. IN SPITE OF
ITS SIMPLE DEFINITION—A PATH ON A LATTICE THAT DOES NOT VISIT THE SAME
SITE MORE THAN ONCE—IT IS DIFFICULT TO ANALYZE MATHEMATICALLY.
THESELF-AVOIDING WALKPROVIDES THE FIRSTUNIFIED ACCOUNT OF THE
KNOWN RIGOROUS RESULTS FOR THE SELF-AVOIDING WALK, WITH PARTICULAR
EMPHASIS ON ITS CRITICAL BEHAVIOR. ITS GOALS ARE TO GIVE AN ACCOUNT OF
THE CURRENT MATHEMATICAL UNDERSTANDING OF THE MODEL, TO INDICATE SOME OF
THE APPLICATIONS OF THE CONCEPT IN PHYSICS AND IN CHEMISTRY, AND TO GIVE
AN INTRODUCTION TO SOME OF THE NONRIGOROUS METHODS USED IN THOSE
FIELDS. TOPICS COVERED IN THE BOOKINCLUDE: THE LACE EXPANSION AND
ITS APPLICATION TO THE SELF-AVOIDING WALK IN MORE THAN FOUR DIMENSIONS
WHERE MOST ISSUES ARE NOW RESOLVED; AN INTRODUCTION TO THE NONRIGOROUS
SCALING THEORY; CLASSICAL WORK OF HAMMERSLEY AND OTHERS; A NEW
EXPOSITION OF KESTEN’S PATTERN THEOREM AND ITS CONSEQUENCES; A
DISCUSSION OF THE DECAY OF THE TWO-POINT FUNCTION AND ITS RELATION TO
PROBABILISTIC RENEWAL THEORY; ANALYSIS OF MONTE CARLO METHODS THAT HAVE
BEEN USED TO STUDY THE SELF-AVOIDING WALK; THE ROLE OF THE SELF-AVOIDING
WALK IN PHYSICAL AND CHEMICAL APPLICATIONS. METHODS FROM COMBINATORICS,
PROBABILITY THEORY, ANALYSIS, AND MATHEMATICAL PHYSICS PLAY IMPORTANT
ROLES. THE BOOK IS HIGHLY ACCESSIBLE TO BOTH PROFESSIONALS AND GRADUATE
STUDENTS IN MATHEMATICS, PHYSICS, AND CHEMISTRY.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Madras, Neal Noah 1957- Slade, Gordon |
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| dewey-ones | 510 - Mathematics |
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| dewey-search | 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-6025-1 |
| edition | Reprint of the 1996 ed. |
| format | Electronic eBook |
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| spelling | Madras, Neal Noah 1957- Verfasser (DE-588)124221831 aut The self-avoiding walk Neal Madras ; Gordon Slade Reprint of the 1996 ed. New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser classics Gitter Mathematik (DE-588)4157375-4 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 s Gitter Mathematik (DE-588)4157375-4 s DE-604 Wahrscheinlichkeit (DE-588)4137007-7 s Anwendung (DE-588)4196864-5 s 1\p DE-604 Slade, Gordon Verfasser aut https://doi.org/10.1007/978-1-4614-6025-1 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025744938&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=025744938&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Madras, Neal Noah 1957- Slade, Gordon The self-avoiding walk Gitter Mathematik (DE-588)4157375-4 gnd Anwendung (DE-588)4196864-5 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd |
| subject_GND | (DE-588)4157375-4 (DE-588)4196864-5 (DE-588)4162442-7 (DE-588)4137007-7 |
| title | The self-avoiding walk |
| title_auth | The self-avoiding walk |
| title_exact_search | The self-avoiding walk |
| title_full | The self-avoiding walk Neal Madras ; Gordon Slade |
| title_fullStr | The self-avoiding walk Neal Madras ; Gordon Slade |
| title_full_unstemmed | The self-avoiding walk Neal Madras ; Gordon Slade |
| title_short | The self-avoiding walk |
| title_sort | the self avoiding walk |
| topic | Gitter Mathematik (DE-588)4157375-4 gnd Anwendung (DE-588)4196864-5 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd |
| topic_facet | Gitter Mathematik Anwendung Irrfahrtsproblem Wahrscheinlichkeit |
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