Multi-scale clustering for a non-Markovian spatial branching process:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
WIAS
2003
|
| Schriftenreihe: | Weierstraß-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint
889 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 33 S. 30 cm |
Internformat
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| 245 | 1 | 0 | |a Multi-scale clustering for a non-Markovian spatial branching process |c Klaus Fleischmann ; Vladimir A. Vatutin. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
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| 700 | 1 | |a Vatutin, Vladimir A. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1808135231037767680 |
|---|---|
| adam_text |
MULTI-SCALE
CLUSTERING
1
CONTENTS
1
INTRODUCTION
AND
STATEMENT
OF
RESULTS
.
2
1.1
MOTIVATION
AND
PURPOSE
.
2
1.2
THE
(D,
A,
(3,
G)-BRANCHING
PARTICLE
SYSTEM
.
3
1.3
MAIN
RESULT:
MULTI-SCALE
CLUSTERING
OF
Z
.
6
1.4
REFINED
ASYMPTOTICS
.
7
1.5
MULTI-SCALE
CLUSTERING
FOR
THE
(D,
A,
/3)-SUPERPROCESS
.
8
2
REFINED
ASYMPTOTICS
FOR
Q
9
2.1
ON
THE
RENEWAL
FUNCTION
.
9
2.2
THE
SCALED
RENEWAL
EQUATION
.
11
2.3
DOMINATIONS
CONCERNING
THE
SCALED
EQUATION
.
12
2.4
APPROXIMATE
RENEWAL
EQUATION
.
13
2.5
SOME
ERROR
TERMS
.
14
2.6
PROOF
OF
PROPOSITION
12
.
18
2.7
APPROXIMATE
LIMITING
EQUATION
.
19
2.8
CONVERGENCE
IN
L
1
(DI)
.
20
2.9
REFINED
ASYMPTOTICS
FOR
Q
(PROOF
OF
THEOREM
6)
.
21
3
MULTI-SCALE
CLUSTERING
22
3.1
CONVERGENCE
OF
ONE-DIMENSIONAL
DISTRIBUTIONS
.
22
3.2
APPROXIMATE
MULTI-VARIATE
LIMITING
EQUATION
.
.
23
3.3
SCALED
MULTI-VARIATE
RENEWAL
EQUATION
.
25
3.4
APPROXIMATE
MULTI-VARIATE
RENEWAL
EQUATION
.
26
3.5
COMPLETION
OF
THE
PROOF
OF
THEOREM
4
.
31
3.6
TO
THE
PROOFS
OF
THEOREMS
7
AND
8
.
32 |
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| author | Fleischmann, Klaus Vatutin, Vladimir A. |
| author_GND | (DE-588)10823827X |
| author_facet | Fleischmann, Klaus Vatutin, Vladimir A. |
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| author_sort | Fleischmann, Klaus |
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| building | Verbundindex |
| bvnumber | BV019730217 |
| ctrlnum | (OCoLC)76498287 (DE-599)BVBBV019730217 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV019730217 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-23T00:15:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013057152 |
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| physical | 33 S. 30 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | WIAS |
| record_format | marc |
| series | Weierstraß-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| series2 | Weierstraß-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| spelling | Fleischmann, Klaus Verfasser (DE-588)10823827X aut Multi-scale clustering for a non-Markovian spatial branching process Klaus Fleischmann ; Vladimir A. Vatutin. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Berlin WIAS 2003 33 S. 30 cm txt rdacontent n rdamedia nc rdacarrier Weierstraß-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 889 Vatutin, Vladimir A. Verfasser aut Weierstraß-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint 889 (DE-604)BV009885922 889 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013057152&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fleischmann, Klaus Vatutin, Vladimir A. Multi-scale clustering for a non-Markovian spatial branching process Weierstraß-Institut für Angewandte Analysis und Stochastik <Berlin>: Preprint |
| title | Multi-scale clustering for a non-Markovian spatial branching process |
| title_auth | Multi-scale clustering for a non-Markovian spatial branching process |
| title_exact_search | Multi-scale clustering for a non-Markovian spatial branching process |
| title_full | Multi-scale clustering for a non-Markovian spatial branching process Klaus Fleischmann ; Vladimir A. Vatutin. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_fullStr | Multi-scale clustering for a non-Markovian spatial branching process Klaus Fleischmann ; Vladimir A. Vatutin. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_full_unstemmed | Multi-scale clustering for a non-Markovian spatial branching process Klaus Fleischmann ; Vladimir A. Vatutin. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_short | Multi-scale clustering for a non-Markovian spatial branching process |
| title_sort | multi scale clustering for a non markovian spatial branching process |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013057152&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009885922 |
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