Percolation Theory at Saint-Flour: [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)]
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
Springer
2012
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| Series: | Probability at Saint-Flour
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXVII, 303 S. graph. Darst. |
| ISBN: | 9783642325083 |
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Record in the Search Index
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IMAGE 1
TABLE OF CONTENTS
PERCOLATION SINCE SAINT-FLOUR IX
G E O F F R E Y G R I M M E T T A N D HARRY KESTEN
ASPECTS O F FIRST PASSAGE PERCOLATION 1
HARRY K E S T E N
1. INTRODUCTION 2
2. K I N G M A N ' S S U B A D D I T I V E E R G O D I C T H E O R E M A
N D T H E T I M E C O N S T A N T 10
3. T H E A S Y M P T O T I C S H A P E O F B (T) A N D B (T) 3 0
4. S O M E INEQUALITIES 4 4
5. T H E RATE O F C O N V E R G E N C E TO THE T I M E C O N S T A N T 5
6
6. PROPERTIES O F T H E T I M E C O N S T A N T (I A N D T H E LIMIT S E
T B 0 9 4
7. T H E RATE O F C O N V E R G E N C E T O T H E T I M E C O N S T A N
T REVISITED: T H E C A S E
H = 0 ( A N D D = 2 ) 107
8. A S Y M P T O T I C S F O R LARGE D I M E N S I O N S 115
9. M A X I M A L F L O W S A N D O T H E R O P E N P R O B L E M S 125
R E F E R E N C E S 136
INDEX 139
PERCOLATION AND DISORDERED SYSTEMS 141
G E O F F R E Y G R I M M E T T
PREFACE 143
1. INTRODUCTORY R E M A R K S 147
2. N O T A T I O N A N D DEFINITIONS 151
3. P H A S E TRANSITION 156
4. INEQUALITIES F O R CRITICAL PROBABILITIES 159
5. CORRELATION INEQUALITIES 169
6. SUBCRITICAL PERCOLATION 176
7. SUPERCRITICAL PERCOLATION 191
8. CRITICAL PERCOLATION 2 1 2
9. PERCOLATION IN T W O D I M E N S I O N S 2 2 4
10. R A N D O M W A L K S IN R A N D O M L A B Y R I N T H S 2 3 2
11. FRACTAL PERCOLATION 2 5 1
12. L S I N G A N D POTTS M O D E L S 2 5 9
13. R A N D O M - C L U S T E R M O D E L S 2 6 3
R E F E R E N C E S 2 8 0
V I I
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| spelling | Grimmett, Geoffrey 1950- Verfasser (DE-588)120872919 aut Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] Geoffrey R. Grimmett ; Harry Kesten Berlin Springer 2012 XXVII, 303 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Probability at Saint-Flour Enth. u.a.: Kesten, Harry: Aspects of first passage percolation, 1986. Grimmett, Geoffrey: Percolation and disordered systems, 1997 Perkolationstheorie (DE-588)4323583-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)1071861417 Konferenzschrift gnd-content Perkolationstheorie (DE-588)4323583-9 s DE-604 Kesten, Harry Verfasser aut Kesten, Harry aut Aspects of first passage percolation Grimmett, Geoffrey 1950- (DE-588)120872919 aut Percolation and disordered systems X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4091878&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025401073&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grimmett, Geoffrey 1950- Kesten, Harry Kesten, Harry Grimmett, Geoffrey 1950- Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] Enth. u.a.: Kesten, Harry: Aspects of first passage percolation, 1986. Grimmett, Geoffrey: Percolation and disordered systems, 1997 Perkolationstheorie (DE-588)4323583-9 gnd |
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| title | Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] |
| title_alt | Aspects of first passage percolation Percolation and disordered systems |
| title_auth | Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] |
| title_exact_search | Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] |
| title_full | Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] Geoffrey R. Grimmett ; Harry Kesten |
| title_fullStr | Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] Geoffrey R. Grimmett ; Harry Kesten |
| title_full_unstemmed | Percolation Theory at Saint-Flour [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] Geoffrey R. Grimmett ; Harry Kesten |
| title_short | Percolation Theory at Saint-Flour |
| title_sort | percolation theory at saint flour reprint of lectures originally published in the lecture notes in mathematics volumes 1180 1986 and corrected reprint of a lecture originally published in the lecture notes in mathematics volume 1665 1997 |
| title_sub | [reprint of lectures originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and corrected reprint of a lecture originally published in the Lecture notes in Mathematics volume 1665 (1997)] |
| topic | Perkolationstheorie (DE-588)4323583-9 gnd |
| topic_facet | Perkolationstheorie Aufsatzsammlung Konferenzschrift |
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