Markov paths, loops and fields: École d'Été de Probabilités de Saint-Flour XXXVIII - 2008
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schriftenreihe: | Lecture notes in mathematics
2026 : École d'Été de Probabilités de Saint-Flour |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | VIII, 124 S. Ill. 235 mm x 155 mm |
| ISBN: | 3642212158 9783642212154 |
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 SYMMETRIC MARKOV PROCESSES ON FINITE SPACES 1
1.1 GRAPHS 1
1.2 ENERGY 5
1.3 FEYNMAN-KAC FORMULA 7
1.4 RECURRENT EXTENSION OF A TRANSIENT CHAIN 8
1.5 TRANSFER MATRIX 10
2 LOOP MEASURES 13
2.1 A MEASURE ON BASED LOOPS 13
2.2 FIRST PROPERTIES 15
2.3 LOOPS AND POINTED LOOPS 16
2.4 OCCUPATION FIELD 19
2.5 WREATH PRODUCTS 25
2.6 COUNTABLE SPACES 26
2.7 ZETA FUNCTIONS FOR DISCRETE LOOPS 27
3 GEODESIC LOOPS 29
3.1 REDUCTION 29
3.2 GEODESIC LOOPS AND CONJUGACY CLASSES 29
3.3 GEODESIES AND BOUNDARY 30
3.4 CLOSED GEODESIES AND ASSOCIATED ZETA FUNCTION 32
4 POISSON PROCESS OF LOOPS 35
4.1 DEFINITION 35
4.2 MOMENTS AND POLYNOMIALS OF THE OCCUPATION FIELD 39 4.3 HITTING
PROBABILITIES 43
5 THE GAUSSIAN FREE FIELD 47
5.1 DYNKIN'S ISOMORPHISM 47
5.2 WICK PRODUCTS 49
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011273519
DIGITALISIERT DURCH
IMAGE 2
VIII CONTENTS
5.3 THE GAUSSIAN FOCK SPACE STRUCTURE 51
5.4 THE POISSONIAN FOCK SPACE STRUCTURE 53
6 ENERGY VARIATION AND REPRESENTATIONS 57
6.1 VARIATION OF THE ENERGY FORM 57
6.2 ONE-FORMS AND REPRESENTATIONS 60
7 DECOMPOSITIONS 65
7.1 TRACES OF MARKOV CHAINS AND ENERGY DECOMPOSITION 65 7.2 EXCURSION
THEORY 67
7.2.1 THE ONE POINT CASE AND THE EXCURSION MEASURE . 68 7.3
CONDITIONAL EXPECTATIONS 70
7.4 BRANCHING PROCESSES WITH IMMIGRATION 71
7.5 ANOTHER EXPRESSION FOR LOOP HITTING DISTRIBUTIONS 73
8 LOOP ERASURE AND SPANNING TREES 75
8.1 LOOP ERASURE 75
8.2 WILSON ALGORITHM 78
8.3 THE TRANSFER CURRENT THEOREM 82
8.4 THE SKEW-SYMMETRIC FOCK SPACE 86
9 REFLECTION POSITIVITY 91
9.1 MAIN RESULT 91
9.2 A COUNTER EXAMPLE 95
9.3 PHYSICAL HILBERT SPACE AND TIME SHIFT 96
10 THE CASE OF GENERAL SYMMETRIC MARKOV PROCESSES 99
10.1 OVERVIEW 99
10.1.1 LOOP HITTING DISTRIBUTIONS 99
10.1.2 DETERMINANTAL PROCESSES 100
10.1.3 OCCUPATION FIELD AND CONTINUOUS BRANCHING 100 10.1.4 GENERALIZED
FIELDS AND RENORMALIZATION 101 10.2 ISOMORPHISM FOR THE RENORMALIZED
OCCUPATION FIELD 101 10.3 RENORMALIZED POWERS 106
10.3.1 FINAL REMARKS 112
REFERENCES 115
INDEX 119
PROGRAMME OF THE SCHOOL 121
LIST OF PARTICIPANTS 123 |
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| spelling | Le Jan, Yves 1952- Verfasser (DE-588)121457400 aut Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 Yves Le Jan Berlin [u.a.] Springer 2011 VIII, 124 S. Ill. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2026 : École d'Été de Probabilités de Saint-Flour Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Markov-Kette (DE-588)4037612-6 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Markov-Kette (DE-588)4037612-6 s DE-604 Markov-Prozess (DE-588)4134948-9 s 1\p DE-604 École d'Été de Probabilités 38 2008 Saint-Flour Sonstige (DE-588)16167163-9 oth Erscheint auch als Online-Ausgabe 978-3-642-21216-1 Lecture notes in mathematics 2026 : École d'Été de Probabilités de Saint-Flour (DE-604)BV000676446 2026 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3719727&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=024380382&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Le Jan, Yves 1952- Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 Lecture notes in mathematics Markov-Prozess (DE-588)4134948-9 gnd Markov-Kette (DE-588)4037612-6 gnd |
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| title | Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 |
| title_auth | Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 |
| title_exact_search | Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 |
| title_full | Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 Yves Le Jan |
| title_fullStr | Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 Yves Le Jan |
| title_full_unstemmed | Markov paths, loops and fields École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 Yves Le Jan |
| title_short | Markov paths, loops and fields |
| title_sort | markov paths loops and fields ecole d ete de probabilites de saint flour xxxviii 2008 |
| title_sub | École d'Été de Probabilités de Saint-Flour XXXVIII - 2008 |
| topic | Markov-Prozess (DE-588)4134948-9 gnd Markov-Kette (DE-588)4037612-6 gnd |
| topic_facet | Markov-Prozess Markov-Kette Konferenzschrift |
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