Gibbs measures relative to Brownian motion and Nelson's model:
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 92 S. |
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CONTENTS
1 NELSON'S MODEL 1
1.1 A CLASSICAL PARTICLE-FIELD MODEL. 1
1.2 QUANTIZING THE PARTICLE-FIELD MODEL. 2
1.3 NELSON'S MODEL IN FOCK SPACE . 6
1.4 ORNSTEIN-UHLENBECK PROCESS. 12
1.5 NELSON'S MODEL IN FUNCTION SPACE.T.21
2 GIBBS MEASURES OVER BROWNIAN MOTION 33
2.1 DEFINITIONS.33
2.2 MARKOVIAN INFINITE VOLUME GIBBS MEASURES.42
2.3 NON-MARKOVIAN INFINITE VOLUME GIBBS MEASURES. 50
3 GROUND STATE EXPECTATIONS 63
3.1 THE EXISTENCE QUESTION.63
3.2 GROUND STATE EXPECTATIONS.67
3.3 BOUNDS ON GROUND STATE EXPECTATIONS.72
APPENDIX 81
A.L FOCK SPACE OVER
CN
.81
A.2 STOCHASTIC PROCESSES FROM SCHRODINGER
OPERATORS .82
A.3 THE FINITE DIMENSIONAL ORNSTEIN-UHLENBECK PROCESS .85
VII
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/964931079 |
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| spelling | Betz, Volker 1972- Verfasser (DE-588)123809568 aut Gibbs measures relative to Brownian motion and Nelson's model Volker Betz 2002 VIII, 92 S. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2002 Brownsche Bewegung (DE-588)4128328-4 gnd rswk-swf Gibbs-Maß (DE-588)4157328-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Brownsche Bewegung (DE-588)4128328-4 s Gibbs-Maß (DE-588)4157328-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009922209&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Betz, Volker 1972- Gibbs measures relative to Brownian motion and Nelson's model Brownsche Bewegung (DE-588)4128328-4 gnd Gibbs-Maß (DE-588)4157328-6 gnd |
| subject_GND | (DE-588)4128328-4 (DE-588)4157328-6 (DE-588)4113937-9 |
| title | Gibbs measures relative to Brownian motion and Nelson's model |
| title_auth | Gibbs measures relative to Brownian motion and Nelson's model |
| title_exact_search | Gibbs measures relative to Brownian motion and Nelson's model |
| title_full | Gibbs measures relative to Brownian motion and Nelson's model Volker Betz |
| title_fullStr | Gibbs measures relative to Brownian motion and Nelson's model Volker Betz |
| title_full_unstemmed | Gibbs measures relative to Brownian motion and Nelson's model Volker Betz |
| title_short | Gibbs measures relative to Brownian motion and Nelson's model |
| title_sort | gibbs measures relative to brownian motion and nelson s model |
| topic | Brownsche Bewegung (DE-588)4128328-4 gnd Gibbs-Maß (DE-588)4157328-6 gnd |
| topic_facet | Brownsche Bewegung Gibbs-Maß Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009922209&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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