Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Humboldt-Univ., Fachbereich Math.
1994
|
| Series: | Universität <Berlin, Humboldt-Universität> / Fachbereich Mathematik: Preprint
1994,2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 117 S. |
Staff View
MARC
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| 100 | 1 | |a Dawson, Donald A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes |c Donald A. Dawson ; Andreas Greven ; Jean Vaillancourt |
| 264 | 1 | |a Berlin |b Humboldt-Univ., Fachbereich Math. |c 1994 | |
| 300 | |a 117 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Universität <Berlin, Humboldt-Universität> / Fachbereich Mathematik: Preprint |v 1994,2 | |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 700 | 1 | |a Greven, Andreas |d 1953- |e Verfasser |0 (DE-588)110413733 |4 aut | |
| 700 | 1 | |a Vaillancourt, Jean |e Verfasser |4 aut | |
| 810 | 2 | |a Fachbereich Mathematik: Preprint |t Universität <Berlin, Humboldt-Universität> |v 1994,2 |w (DE-604)BV008169061 |9 1994,2 | |
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Record in the Search Index
| _version_ | 1807684194620407808 |
|---|---|
| adam_text |
CONTENTS
SECTION
0.
INTRODUCTION
AND
STATEMENT
OF
RESULTS
A)
BACKGROUND
AND
MOTIVATION
B)
THE
MODEL
C)
THE
LONGTIME
BEHAVIOUR
OF
THE
PROCESS
D)
THE
MULTIPLE
SPACE-TIME-SCALE
ANALYSIS
E)
DESCRIPTION
OF
QUASIEQUILIBRIA
F)
THE
INTERACTION
CHAIN
AND
QUALITATIVE
BEHAVIOUR
OF
THE
PROCESS
G)
FIXED
POINT
PROPERTIES
OF
FLEMING-VIOT
SYSTEMS
UNDER
RENORMALIZATION
H)
APPROXIMATION
PROPERTIES
OF
THE
INTERACTION
CHAIN
SECTION
1.
EXISTENCE,
UNIQUENESS
AND
PATH
PROPERTIES
OF
THE
SYSTEM
OF
INFINITELY
MANY
INTERACTING
FLEMING-VIOT
PROCESSES.
(PROOF
OF
THEOREM
0.0)
V
SECTION
2.
THE
FLEMING-VIOT
PROCESS
WITH
FIXED
IMMIGRATION
SOURCE
(DISTRIBUTION)
(A)
THE
FLEMING-VIOT
MARTINGALE
PROBLEMS
WITH
IMMIGRATION.
(B)
REPRESENTATION
OF
THE
EQUILIBRIUM
STATES
(PROOF
OF
THEOREM
0.3).
SECTION
3.
DUALITY
AND
THE
BEHAVIOR
OF
THE
INFINITE
SYSTEM
(N
FIXED)
(A)
DUALITY
(B)
DICHOTOMY:TRANSIENT
AND
RECURRENT
CASES
(PROOF
OF
THEOREM
0.1).
SECTION
4.
THE
MULTIPLE
TIME
SCALE
BEHAVIOR
FOR
FINITE
SYSTEMS
IN
THE
MEAN-FIELD
LIMIT
N
-
.
(A)
THE
FINITE
SYSTEM
WITHOUT
HIERARCHY
IN
FAST
TIME
SCALES
(B)
MEAN-FIELD
FINITE
SYSTEM
SCHEINE:
PROOF
OF
PROPOSITION
4.1
(C)
COUPLING
(D)
CONVERGENCE
OF
THE
DENSITY
MEASURE
PROCESS:
PROOF
OF
PROPOSITION
4.2
SECTION
5.
THE
MULTIPLE
TIME
SCALE
BEHAVIOR
FOR
INFINITE
INTERACTING
SYSTEMS
IN
THE
MEAN-FIELD
LIMIT.
(A)
FINITE
TWO
LEVEL
MODELS
(B)
FINITE
K-LEVEL
MODELS
(C)
APPROXIMATION
OF
INFINITE
BY
FINITE
SYSTEMS
(D)
EXTENSION
TO
SPATIAL
FINITE
DIMENSIONAL
DISTRIBUTIONS
(PROOF
OF
THEOREMS
0.2
AND
0.4)
(E)
COMPARISON
OF
THE
FIXED
N
SITUATION
WITH
THE
MEAN-FIELD
LIMIT
(F)
APPROXIMATION
PROPERTIES
OF
THE
INTERACTION
CHAIN
(PROOF
OF
THEOREM
0.10).
SECTION
6,
ANALYSIS
OF
THE
INTERACTION
CHAIN
(A)
STABILITY
"
ERSUS
CLUSTERING
DICHOTOMY
(PROOF
OF
THEOREM
0.5)
(B)
CLUSTER
FORMATION
(PROOF
OF
THEOREM
0.6)
(C)
SPATIAL
DENSITY
OF
TYPES
(PROOF
OF
THEOREM
0.7)
SECTION
7,
FIXED
POINT
PROPERTIES
OF
INTERACTING
FLEMING-VIOT
PROCESSES
(A)
PROOF
OF
0.60,
0.61
(B)
CONVERGENCE
TO
THE
FIXED
POINT
(PROOF
OF
THEOREM
0.8).
(C)
UNIVERSALITY
(PROOF
OF
THEOREM
0.9).
3 |
| any_adam_object | 1 |
| author | Dawson, Donald A. Greven, Andreas 1953- Vaillancourt, Jean |
| author_GND | (DE-588)110413733 |
| author_facet | Dawson, Donald A. Greven, Andreas 1953- Vaillancourt, Jean |
| author_role | aut aut aut |
| author_sort | Dawson, Donald A. |
| author_variant | d a d da dad a g ag j v jv |
| building | Verbundindex |
| bvnumber | BV009756346 |
| classification_rvk | SK 820 |
| ctrlnum | (OCoLC)75560299 (DE-599)BVBBV009756346 |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV009756346 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-18T00:46:27Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006453332 |
| oclc_num | 75560299 |
| open_access_boolean | |
| owner | DE-12 DE-11 |
| owner_facet | DE-12 DE-11 |
| physical | 117 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Humboldt-Univ., Fachbereich Math. |
| record_format | marc |
| series2 | Universität <Berlin, Humboldt-Universität> / Fachbereich Mathematik: Preprint |
| spelling | Dawson, Donald A. Verfasser aut Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes Donald A. Dawson ; Andreas Greven ; Jean Vaillancourt Berlin Humboldt-Univ., Fachbereich Math. 1994 117 S. txt rdacontent n rdamedia nc rdacarrier Universität <Berlin, Humboldt-Universität> / Fachbereich Mathematik: Preprint 1994,2 (DE-588)4113937-9 Hochschulschrift gnd-content Greven, Andreas 1953- Verfasser (DE-588)110413733 aut Vaillancourt, Jean Verfasser aut Fachbereich Mathematik: Preprint Universität <Berlin, Humboldt-Universität> 1994,2 (DE-604)BV008169061 1994,2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006453332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dawson, Donald A. Greven, Andreas 1953- Vaillancourt, Jean Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes |
| subject_GND | (DE-588)4113937-9 |
| title | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes |
| title_auth | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes |
| title_exact_search | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes |
| title_full | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes Donald A. Dawson ; Andreas Greven ; Jean Vaillancourt |
| title_fullStr | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes Donald A. Dawson ; Andreas Greven ; Jean Vaillancourt |
| title_full_unstemmed | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes Donald A. Dawson ; Andreas Greven ; Jean Vaillancourt |
| title_short | Equilibria and quasiequilibria for infinite collections of interacting Fleming-Viot processes |
| title_sort | equilibria and quasiequilibria for infinite collections of interacting fleming viot processes |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006453332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008169061 |
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