Competing species superprocesses with infinite variance:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
WIAS
2002
|
| Series: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V.
772 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 58 S. 30 cm |
Staff View
MARC
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| 100 | 1 | |a Fleischmann, Klaus |e Verfasser |0 (DE-588)10823827X |4 aut | |
| 245 | 1 | 0 | |a Competing species superprocesses with infinite variance |c Klaus Fleischmann ; Leonid Mytnik. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| 264 | 1 | |a Berlin |b WIAS |c 2002 | |
| 300 | |a 58 S. |b 30 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |v 772 | |
| 700 | 1 | |a Mytnik, Leonid |e Verfasser |4 aut | |
| 810 | 2 | |a Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |t Preprint |v 772 |w (DE-604)BV009885922 |9 772 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010417157&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Record in the Search Index
| _version_ | 1805068802407268352 |
|---|---|
| adam_text |
C
ONTENTS
1.
INTRODUCTION
2
1.1.
BACKGROUND
AND
MOTIVATION
2
1.2.
SKETCH
OF
MAIN
RESULTS
2
2.
STATEMENT
OF
RESULTS
5
2.1.
PRELIMINARIES:
NOTATION,
COLLISION
LOCAL
TIME
AND
MEASURE
5
2.2,
(A,
D,/9)-PAIR
OF
INTERACTING
SUPERPROCESSES
WITH
KILLING
7
2.3.
EXISTENCE
OF
AN
(A,
D,/9)-PAIR
OF
COMPETING
SUPERPROCESSES
8
2.4.
OUTLINE
9
3.
DOMINATION
BY
INDEPENDENT
SUPERPROCESSES
9
3.1.
EXTENSION
OF
THE
MARTINGALE
PROBLEM
(MP)
"
'^
9
3.2.
(AT,
D,3)-PAIR
OF
INDEPENDENT
SUPERPROCESSES
9
3.3.
PROPERTIES
OF
LOG-LAPLACE
FUNCTIONS
11
3.4.
AN
EXPONENTIAL
MARTINGALE
FOR
SOLUTIONS
TO
(MP)'^
12
3.5.
PROOF
OF
PROPOSITION
17
13
3.6. ANOTHER
MARTINGALE
16
3.7.
DOMINATION
BY
INDEPENDENT
SUPERPROCESSES
17
3.8.
SIMULTANEOUS
DOMINATION
BY
INDEPENDENT
SUPERPROCESSES
20
4.
LOG-LAPLACE
EQUATION
INVOLVING
GENERALIZED
INPUT
DATA
21
4.1.
ENERGY
CONDITIONS
21
4.2.
LOG-LAPLACE
EQUATION
INVOLVING
GENERALIZED
INPUT
DATA
24
4.3.
CONTINUOUS
CONVERGENCE
OF
LOG-LAPLACE
FUNCTIONS
26
4.4.
ON
COLLISION
LOCAL
TIMES
AND
MEASURES
OF
INDEPENDENT
SUPERPROCESSES
30
5.
UNIFORM
CONVERGENCE
OF
COLLISION
LOCAL
TIMES
36
5.1.
TIGHTNESS
OF
A
N
36
5.2.
CAUCHY
PROPERTY
OF
APPROXIMATING
COLLISION
LOCAL
TIMES
36
5.3.
CONTINUOUS
CONVERGENCE
OF
COLLISION
LOCAL
TIMES
41
5.4.
PROOF
OF
THEOREM
7
44
5.5.
CONTINUITY
OF
THE
MAP
X
I
-
YY
LX
44
5.6.
A
GENERAL
TIGHTNESS
RESULT
44
6.
CONSTRUCTION
OF
THE
COMPETING
SPECIES
MODEL
46
6.1.
APPROXIMATING
COMPETING
SPECIES
MODEL
47
6.2.
PROOF
OF
THEOREM
9
47
6.3.
OUTLINE
OF
THE
PROOF
OF
PROPOSITION
47
48
6.4.
PROCESSES
WITH
"
ONE-SIDED
"
CONDITIONED
KILLING
49
6.5.
ALTERNATING
CONDITIONAL
KILLING
50
APPENDIX:
AUXILIARY
FACTS
51
A.L.
SOME
CONVERGENCES
IN
BC
CO
([0,
T]
X
51
A.
2.
ON
THE
FRACTIONAL
LAPLACIAN
54
A.
3.
ON
WEAK
CONVERGENCE
IN
54
A.
4.
SOME
FIRST
ORDER
CONSIDERATIONS
OF
LOG-LAPLACE
FUNCTIONS
55
REFERENCES
57 |
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| author_GND | (DE-588)10823827X |
| author_facet | Fleischmann, Klaus Mytnik, Leonid |
| author_role | aut aut |
| author_sort | Fleischmann, Klaus |
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| building | Verbundindex |
| bvnumber | BV017284748 |
| classification_rvk | SI 304 |
| ctrlnum | (OCoLC)53426104 (DE-599)BVBBV017284748 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-20T03:55:54Z |
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| language | English |
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| physical | 58 S. 30 cm |
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| series2 | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| spelling | Fleischmann, Klaus Verfasser (DE-588)10823827X aut Competing species superprocesses with infinite variance Klaus Fleischmann ; Leonid Mytnik. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Berlin WIAS 2002 58 S. 30 cm txt rdacontent n rdamedia nc rdacarrier Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. 772 Mytnik, Leonid Verfasser aut Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. Preprint 772 (DE-604)BV009885922 772 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010417157&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fleischmann, Klaus Mytnik, Leonid Competing species superprocesses with infinite variance |
| title | Competing species superprocesses with infinite variance |
| title_auth | Competing species superprocesses with infinite variance |
| title_exact_search | Competing species superprocesses with infinite variance |
| title_full | Competing species superprocesses with infinite variance Klaus Fleischmann ; Leonid Mytnik. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_fullStr | Competing species superprocesses with infinite variance Klaus Fleischmann ; Leonid Mytnik. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_full_unstemmed | Competing species superprocesses with infinite variance Klaus Fleischmann ; Leonid Mytnik. Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V. |
| title_short | Competing species superprocesses with infinite variance |
| title_sort | competing species superprocesses with infinite variance |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010417157&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009885922 |
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