Point processes: a random Radon measure approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Nächst Neuendorf
Walter Warmuth Verlag
[2014]
|
| Schriftenreihe: | Classical lectures
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | 210 Seiten 21 cm, 243 g |
| ISBN: | 9783944311012 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text |
1 SPATIAL PROCESSES. A SYNOPSIS 7
1.1 INTRODUCTION 7
1.2 TYPES OF SPATIAL PROCESSES 9
1.3 RANDOM MEASURES IN STATISTICAL MECHANICS 24
1.4 SCHOLION: A FIRST CONSTRUCTION OF RANDOM MEASURES . 30
I BASIC CONCEPTS OF RANDOM MEASURES 33
2 PRODUCTS OF IDENTICAL MEASURES 35
2.1 INTRODUCTION 35
2.2 CHARACTERIZATIONS OF MEASURES 38
3 RANDOM MEASURES AND THEIR MOMENT MEASURES 45
3.1 TOPOLOGICAL AND BORELIAN STRUCTURE 45
3.2 RANDOM MEASURES AND THEIR MOMENTS 48
3.3 FOURIER- AND LAPLACE TRANSFORMS 55
HTTP://D-NB.INFO/1051798574
4
CONTENTS
II CONSTRUCTION OF RANDOM MEASURES
THE METHOD OF THE CAMPBELL MEASURE 61
4 PARTICULAR RANDOM MEASURES 63
4.1 THE GENERAL FINITE POINT PROCESS 63
4.2 MIXING OF RANDOM MEASURES 67
4.3 SUPERPOSITION OF INDEPENDENT RANDOM MEASURES 71
4.4 THE GENERAL POISSON PROCESS 74
4.5 CLUSTERED RANDOM MEASURES. COX PROCESSES 79
5 CAMPBELL MEASURES AND PALM DISTRIBUTIONS 89
5.1 BASIC CONCEPTS 89
5.2 THE FINE STRUCTURE OF PALM LAWS 93
5.3 EXAMPLES 98
5.4 SCHOLION: ANOTHER CONSTRUCTION OF RANDOM MEASURES . . .103
5.5 SCHOLION: PERMANENTAL AND DETERMINANTAL PROCESSES . . .115
5.6 SCHOLION: TRANSFORMATIONS OF RANDOM MEASURES 125
5.7 SCHOLION: EXAMPLES OF INTENSITIES OF COX PROCESSES . . . .128
III STATIONARITY 131
6 STATIONARY RANDOM MEASURES 133
6.1 INTRODUCTION 133
6.2 A NICE VERSION OF PALM LAWS 138
6.3 SIMPLE PROCESSES IN K 143
6.4 REPRESENTING REDUCED MOMENT MEASURES 149
6.5 SCHOLION: A GENERAL ZERO-INFINITY LAW 153
6.6 SCHOLION: THE EXCLUSION PROCESS 155
7 ERGODIC THEOREMS FOR RANDOM MEASURES 159
7.1 THE PROBLEM 159
7.2 AN ERGODIC THEOREM FOR RANDOM MEASURES 161
5
7.3 IMPLICATIONS OF THE ERGODIC THEOREM 168
7.4 SCHOLION: FURTHER APPLICATIONS 174
IV ENTROPY 179
8 BASIC PROPERTIES 181
8.1 PRELIMINARIES 181
8.2 A CONTINUITY PROPERTY 184
9 ENTROPY OF POINT PROCESSES 189
9.1 PRELIMINARIES 189
9.2 CHARACTERIZATIONS OF ENTROPIES 191
BIBLIOGRAPHY 203
INDEX
208 |
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| dewey-full | 510 519.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 519 - Probabilities and applied mathematics |
| dewey-raw | 510 519.23 |
| dewey-search | 510 519.23 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-09-10T01:29:40Z |
| institution | BVB |
| isbn | 9783944311012 |
| language | English |
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| publisher | Walter Warmuth Verlag |
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| series2 | Classical lectures |
| spelling | Krickeberg, Klaus 1929- Verfasser (DE-588)117714534 aut Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin Nächst Neuendorf Walter Warmuth Verlag [2014] © 2014 210 Seiten 21 cm, 243 g txt rdacontent n rdamedia nc rdacarrier Classical lectures Literaturangaben Punktprozess (DE-588)4138173-7 gnd rswk-swf Zufälliges Maß (DE-588)4068049-6 gnd rswk-swf Radon-Maß (DE-588)4242168-8 gnd rswk-swf Punktprozess (DE-588)4138173-7 s Radon-Maß (DE-588)4242168-8 s Zufälliges Maß (DE-588)4068049-6 s DE-604 Zessin, Hans (DE-588)1136330453 oth X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4681813&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027614897&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krickeberg, Klaus 1929- Point processes a random Radon measure approach Punktprozess (DE-588)4138173-7 gnd Zufälliges Maß (DE-588)4068049-6 gnd Radon-Maß (DE-588)4242168-8 gnd |
| subject_GND | (DE-588)4138173-7 (DE-588)4068049-6 (DE-588)4242168-8 |
| title | Point processes a random Radon measure approach |
| title_auth | Point processes a random Radon measure approach |
| title_exact_search | Point processes a random Radon measure approach |
| title_full | Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin |
| title_fullStr | Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin |
| title_full_unstemmed | Point processes a random Radon measure approach Klaus Krickeberg ; augmented with several Scholia by Hans Zessin |
| title_short | Point processes |
| title_sort | point processes a random radon measure approach |
| title_sub | a random Radon measure approach |
| topic | Punktprozess (DE-588)4138173-7 gnd Zufälliges Maß (DE-588)4068049-6 gnd Radon-Maß (DE-588)4242168-8 gnd |
| topic_facet | Punktprozess Zufälliges Maß Radon-Maß |
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