Measure valued branching Markov processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
[2011]
|
| Schriftenreihe: | Probability and its applications
|
| Schlagworte: | |
| Online-Zugang: | Zusätzliche Angaben Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | xi, 350 Seiten |
| ISBN: | 9783642150036 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
PREFACE V
1 RANDOM MEASURES ON METRIC SPACES 1
. 1 BOREL MEASURES 1
.2 LAPLACE FUNCTIONALS 8
.3 POISSON RANDOM MEASURES 13
.4 INFINITELY DIVISIBLE RANDOM MEASURES 15
.5 LEVY-KHINTCHINE TYPE REPRESENTATIONS 21
.6 NOTES AND COMMENTS 26
2 MEASURE-VALUED BRANCHING PROCESSES 29
2.1 DEFINITIONS AND BASIC PROPERTIES 29
2.2 INTEGRAL EVOLUTION EQUATIONS 33
2.3 DAWSON-WATANABE SUPERPROCESSES 38
2.4 EXAMPLES OF SUPERPROCESSES 44
2.5 SOME MOMENT FORMULAS ., 47
2.6 NOTES AND COMMENTS 54
3 ONE-DIMENSIONAL BRANCHING PROCESSES 57
3.1 CONTINUOUS-STATE BRANCHING PROCESSES 57
3.2 LONG-TIME EVOLUTION RATES 63
3.3 IMMIGRATION AND CONDITIONED PROCESSES 66
3.4 MORE CONDITIONAL LIMIT THEOREMS 70
3.5 SCALING LIMITS OF DISCRETE PROCESSES 75
3.6 NOTES AND COMMENTS 83
4 BRANCHING PARTICLE SYSTEMS 87
4.1 PARTICLE SYSTEMS WITH LOCAL BRANCHING 87
4.2 SCALING LIMITS OF LOCAL BRANCHING SYSTEMS 92
4.3 GENERAL BRANCHING PARTICLE SYSTEMS 97
4.4 SCALING LIMITS OF GENERAL BRANCHING SYSTEMS 100
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1004244061
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
4.5 NOTES AND COMMENTS 104
BASIC REGULARITIES OF SUPERPROCESSES 107
5.1 RIGHT CONTINUOUS REALIZATIONS 107
5.2 THE STRONG MARKOV PROPERTY 109
5.3 BOREL RIGHT SUPERPROCESSES 114
5.4 WEIGHTED OCCUPATION TIMES 118
5.5 A COUNTEREXAMPLE 122
5.6 NOTES AND COMMENTS 125
CONSTRUCTIONS BY TRANSFORMATIONS 127
6.1 SPACES OF TEMPERED MEASURES 127
6.2 MULTITYPE SUPERPROCESSES 132
6.3 A TWO-TYPE SUPERPROCESS 135
6.4 CHANGE OF THE PROBABILITY MEASURE 136
6.5 TIME-INHOMOGENEOUS SUPERPROCESSES 138
6.6 NOTES AND COMMENTS 142
MARTINGALE PROBLEMS OF SUPERPROCESSES 145
7.1 THE DIFFERENTIAL EVOLUTION EQUATION 145
7.2 GENERATORS AND MARTINGALE PROBLEMS 152
7.3 WORTHY MARTINGALE MEASURES 160
7.4 A REPRESENTATION FOR SUPERPROCESSES 168
7.5 TRANSFORMS BY MARTINGALES 172
7.6 NOTES AND COMMENTS 176
ENTRANCE LAWS AND EXCURSION LAWS 179
8.1 SOME SIMPLE PROPERTIES 179
8.2 MINIMAL PROBABILITY ENTRANCE LAWS 183
8.3 INFINITELY DIVISIBLE PROBABILITY ENTRANCE LAWS 187
8.4 KUZNETSOV MEASURES AND EXCURSION LAWS 193
8.5 SUPER-ABSORBING-BARRIER BROWNIAN MOTIONS 201
8.6 NOTES AND COMMENTS 205
STRUCTURES OF INDEPENDENT IMMIGRATION 207
9.1 SKEW CONVOLUTION SEMIGROUPS 207
9.2 THE CANONICAL ENTRANCE RULE 212
9.3 REGULAR IMMIGRATION SUPERPROCESSES 215
9.4 CONSTRUCTIONS OF THE TRAJECTORIES 221
9.5 ONE-DIMENSIONAL STOCHASTIC EQUATIONS 228
9.6 NOTES AND COMMENTS 231
IMAGE 3
CONTENTS XI
10 STATE-DEPENDENT IMMIGRATION STRUCTURES 233
10.1 DETERMINISTIC IMMIGRATION RATES 233
10.2 STOCHASTIC IMMIGRATION RATES 235
10.3 INTERACTIVE IMMIGRATION RATES 241
10.4 GENERAL INTERACTIVE IMMIGRATION 247
10.5 NOTES AND COMMENTS 252
11 GENERALIZED ORNSTEIN-UHLENBECK PROCESSES 255
1 1.1 GENERALIZED MEHLER SEMIGROUPS 255
11.2 GAUSSIAN TYPE SEMIGROUPS 259
11.3 NON-GAUSSIAN TYPE SEMIGROUPS 263
11.4 EXTENSIONS OF CENTERED SEMIGROUPS 266
11.5 CONSTRUCTION OF THE PROCESSES 273
11.6 NOTES AND COMMENTS 279
12 SMALL-BRANCHING FLUCTUATION LIMITS 281
12.1 THE BROWNIAN IMMIGRATION SUPERPROCESS 281
12.2 STOCHASTIC PROCESSES IN NUCLEAR SPACES 283
12.3 FLUCTUATION LIMITS IN THE SCHWANZ SPACE 290
12.4 FLUCTUATION LIMITS IN SOBOLEV SPACES 296
12.5 NOTES AND COMMENTS 298
A MARKOV PROCESSES 301
A. 1 MEASURABLE SPACES 301
A.2 STOCHASTIC PROCESSES 304
A.3 RIGHT MARKOV PROCESSES 306
A.4 RAY-KNIGHT COMPLETION 315
A.5 ENTRANCE SPACE AND ENTRANCE LAWS 319
A.6 CONCATENATIONS AND WEAK GENERATORS 321
A.7 TIME-SPACE PROCESSES 329
REFERENCES 333
SUBJECT INDEX 345
SYMBOL INDEX 349 |
| any_adam_object | 1 |
| author | Li, Zenghu |
| author_GND | (DE-588)1046326287 |
| author_facet | Li, Zenghu |
| author_role | aut |
| author_sort | Li, Zenghu |
| author_variant | z l zl |
| building | Verbundindex |
| bvnumber | BV039167881 |
| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)698657447 (DE-599)DNB1004244061 |
| dewey-full | 519.233 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.233 |
| dewey-search | 519.233 |
| dewey-sort | 3519.233 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-09-17T14:06:37Z |
| institution | BVB |
| isbn | 9783642150036 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024185190 |
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| physical | xi, 350 Seiten |
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| publisher | Springer |
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| series2 | Probability and its applications |
| spelling | Li, Zenghu (DE-588)1046326287 aut Measure valued branching Markov processes Zenghu Li Measure-valued branching Markov processes Berlin [u.a.] Springer [2011] © 2011 xi, 350 Seiten txt rdacontent n rdamedia nc rdacarrier Probability and its applications Markov-Verzweigungsprozess (DE-588)4168930-6 gnd rswk-swf Markov-Verzweigungsprozess (DE-588)4168930-6 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-15004-3 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=4056037&custom_att_2=simple_viewer Measure valued branching Markov processes Zusätzliche Angaben text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3500770&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=024185190&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Li, Zenghu Measure valued branching Markov processes Markov-Verzweigungsprozess (DE-588)4168930-6 gnd |
| subject_GND | (DE-588)4168930-6 |
| title | Measure valued branching Markov processes |
| title_alt | Measure-valued branching Markov processes |
| title_auth | Measure valued branching Markov processes |
| title_exact_search | Measure valued branching Markov processes |
| title_full | Measure valued branching Markov processes Zenghu Li |
| title_fullStr | Measure valued branching Markov processes Zenghu Li |
| title_full_unstemmed | Measure valued branching Markov processes Zenghu Li |
| title_short | Measure valued branching Markov processes |
| title_sort | measure valued branching markov processes |
| topic | Markov-Verzweigungsprozess (DE-588)4168930-6 gnd |
| topic_facet | Markov-Verzweigungsprozess |
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