Gaussian loop- and Pólya processes: a point process approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Potsdam
Univ.-Verl.
2009
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Online-Ausg. im Internet |
| Physical Description: | IX, 162 S. graph. Darst. 24 cm |
| ISBN: | 9783869560298 |
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MARC
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| 245 | 1 | 0 | |a Gaussian loop- and Pólya processes |b a point process approach |c Mathias Rafler |
| 264 | 1 | |a Potsdam |b Univ.-Verl. |c 2009 | |
| 300 | |a IX, 162 S. |b graph. Darst. |c 24 cm | ||
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Record in the Search Index
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CONTENTS 0. INTRODUCTION I. AN INTRODUCTION TO POINT PROCESSES 9 1.
POINT PROCESSES 11 1.1. POINT PROCESSES 12 1.1.1. BASIC NOTIONS 12
1.1.2. MOMENT MEASURES AND FUNCTIONALS OF POINT PROCESSES 16 1.1.3. THE
POISSON PROCESS 18 1.2. THE CAMPBELL MEASURE OF A POINT PROCESS 23
1.2.1. DISINTEGRATION WITH RESPECT TO THE INTENSITY MEASURE: PALM
DISTRIBUTIONS 24 1.2.2. DISINTEGRATION WITH RESPECT TO THE POINT
PROCESS: PA- PANGELOU KERNELS 26 1.2.3. CONSTRUCTION OF POINT PROCESSES
FROM PAPANGEJOU KER- NELS 27 2. DEVIATION PRINCIPLES 39 2.1. GENERAL
LARGE DEVIATION PRINCIPLES 40 2.2. LARGE DEVIATIONS FOR POISSON
PROCESSES AT INCREASING INTEN- SITY 42 2.3. DEVIATIONS FOR BROWNIAN
MOTIONS AND BROWNIAN BRIDGES . . 45 VA BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/999884360 DIGITALISIERT DURCH VM CONTENTS II. A BOESE
GAS MODEL 49 3. CONSTRUCTION OF THE IDEAL BOESE GAS 51 3.1. THE LOOP
SPACE AND THE BROWNIAN LOOP MEASURE 52 4. LIMIT THEOREMS AND EXTREMAL
MEASURES 63 4.1. THE CONSTRUCTION OF MARTIN-DYNKIN BOUNDARIES 66 4.1.1.
LOCAL SPECIFICATIONS AND MARTIN-DYNKIN BOUNDARY . 66 4.1.2. COUNTING
LOOPS 67 4.2. THE MICROCANONICAL LOOP ENSEMBLE 69 4.3. THE CANONICAL
LOOP ENSEMBLE 75 4.4. THE GRAND CANONICAL LOOP ENSEMBLE 78 4.5. THE
CANONICAL ENSEMBLE OF ELEMENTARY COMPONENTS . 79 5. GEOMETRIE ASPECTS
OF THE IDEAL SSOSE GAS 91 5.1. PALM DISTRIBUTIONS AND STATIONARITY . 94
5.2. THE BARYCENTRE 98 5.2.1. THE BARYCENTRE OF A BROWNIAN LOOP 98
5.2.2. THE BARYCENTRE OF A RANDOM WALK LOOP 102 5.3. FC-VOLUMES 108
5.3.1. A;-VOLUMES OF INDEPENDENT VECTORS 108 5.3.2. &-VOLUMES OF
DEPENDENT VECTORS 110 5.3.3. FC-VOLUMES OF RANDOM WALK LOOPS 112 5.3.4.
ROTATIONAL INVARIANT DISTRIBUTIONS 115 5.4. CONVEX HULLS IN M 2 116 5.5.
PERCOLATION OF LOOPS 122 III. A GENERALISATION OF THE POELYA URN
SCHEINES: THE POELYA SUM PROCESS 127 6. THE POELYA SUM PROCESSES 129 6.1.
THE DEFINITION OF THE POELYA SUM PROCESS 130 IX 6.2. LAPLACE FUNCTIONALS
132 6.3. DISINTEGRATION AND PARTIAL INTEGRATION 135 7. LIMIT THEOREMS
FOR CONDITIONED POELYA SUM PROCESSES 139 7.1. THE TURRET ENSEMBLE 140
7.2. THE BRICK ENSEMBLE 142 7.3. THE GENERAL ENSEMBLE 145 7.4. LARGE
DEVIATIONS 147 8. CONCLUDING REMARKS 155 |
| any_adam_object | 1 |
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| author_facet | Rafler, Mathias |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.23 |
| dewey-search | 519.23 |
| dewey-sort | 3519.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| isbn | 9783869560298 |
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| physical | IX, 162 S. graph. Darst. 24 cm |
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| spelling | Rafler, Mathias Verfasser aut Gaussian loop- and Pólya processes a point process approach Mathias Rafler Potsdam Univ.-Verl. 2009 IX, 162 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Online-Ausg. im Internet Zugl.: Potsdam, Univ., Diss., 2009 Zufälliger Punktprozess (DE-588)4284394-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Zufälliger Punktprozess (DE-588)4284394-7 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3421082&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=018911106&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rafler, Mathias Gaussian loop- and Pólya processes a point process approach Zufälliger Punktprozess (DE-588)4284394-7 gnd |
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| title | Gaussian loop- and Pólya processes a point process approach |
| title_auth | Gaussian loop- and Pólya processes a point process approach |
| title_exact_search | Gaussian loop- and Pólya processes a point process approach |
| title_full | Gaussian loop- and Pólya processes a point process approach Mathias Rafler |
| title_fullStr | Gaussian loop- and Pólya processes a point process approach Mathias Rafler |
| title_full_unstemmed | Gaussian loop- and Pólya processes a point process approach Mathias Rafler |
| title_short | Gaussian loop- and Pólya processes |
| title_sort | gaussian loop and polya processes a point process approach |
| title_sub | a point process approach |
| topic | Zufälliger Punktprozess (DE-588)4284394-7 gnd |
| topic_facet | Zufälliger Punktprozess Hochschulschrift |
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