Le mouvement Brownien relativiste:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Berlin ; Heidelberg ; New York
Springer-Verlag
1976
|
| Series: | Lecture notes in mathematics
559 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 212 Seiten Diagramme |
| ISBN: | 354008052X 038708052X |
Staff View
MARC
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Record in the Search Index
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| adam_text |
TABLE DES MATIERES
0 INTRODUCTION
O.1 Mouvement brownien 2
0.2 Processus de Wiener 4
0.3 Diffusions 6
0.4 Diffusions à fronts d'onde 9
0.5 Mouvement brownien relativiste 12
0.6 Classification des équations d'onde 14
0.7 Principe de correspondance 15
0.8 Onde broglienne 17
0.9 Conclusion 18
1 PROBABILITES ET ESPERANCES
1.1 Algèbres et a-algèbres d'ensembles 19
1.2 Espaces de probabilité 22
1.3 Variables aléatoires et espaces de probabilité images 27
1.4 Espérance 28
1.5 Théorèmes de Beppo Lévi et de Fatou-Lebesgue 32
1.6 Convergence presque sûre et convergence en probabilité 36
1.7 Equi-intégrabilité et convergence presque sûre 37
1.8 Conditionnement et indépendance 40
1.9 Martingales 48
2 MESURE DE WIENER ET MOUVEMENT BROWNIEN
2.1 Première définition du mouvement brownien 53
2.2 Mesure de Wiener 55
2.3 Processus de Wiener et mouvement brownien 60
2.4 La martingale exponentielle 62
2.5 Processus de Wiener à plusieurs dimensions 64
3 DIFFERENTIELLES ET INTEGRALES STOCHASTIQUES
3.1 Intégrale stochastique 67
3.2 Equations différentielles stochastiques 74
3.3 Extension de l'intégrale stochastique 82
3.4 Intégrales et différentielles stochastiques pour un
mouvement brownien à plusieurs dimensions 92
4 DIFFUSIONS
4.1 Temps d'arrêt 98
4.2 Diffusions sur la droite réelle 1O2
4.3 Diffusions sur une variété 114
4.4 La martingale exponentielle 127
5 LE MOUVEMENT BROWNIEN RELATIVISTE
5.1 La forme différentielle o^ 132
5.2 La forme différentielle u, 144
5.3 Equation de Schrôdinger et équation de Pauli 147
5.4 Mouvement brownien relativiste 152
5.5 Equation de Dirac 159
5.6 Equations de Maxwell 165
5.7 Oscillateur harmonique 173
6 EQUATIONS DE LAGRANGE ET DE HAMILTON
6.1 Equations de Lagrange 180
6.2 Equations de Hamilton 184
6.3 Défactorisation et invariants intégraux 185
6.4 La différentielle extérieure du 188
6.5 Cas du processus de Wiener 192
APPENDICES
A.O How to attackle the technicalities 194
a.l One propriété caractéristique du mouvement brownien 195
a. 2 Retournement du processus de Wiener 197
A.3 Retournement d'une diffusion 199
A.4 Lemrae de Weyl 205
NOTES 206
BIBLIOGRAPHIE 208 |
| any_adam_object | 1 |
| author | Caubet, Jean-Pierre |
| author_GND | (DE-588)1305977556 |
| author_facet | Caubet, Jean-Pierre |
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| author_sort | Caubet, Jean-Pierre |
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| bvnumber | BV001972187 |
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| ctrlnum | (OCoLC)164999623 (DE-599)BVBBV001972187 |
| dewey-full | 531/.163 510/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics 510 - Mathematics |
| dewey-raw | 531/.163 510/.8 |
| dewey-search | 531/.163 510/.8 |
| dewey-sort | 3531 3163 |
| dewey-tens | 530 - Physics 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2025-02-16T15:00:15Z |
| institution | BVB |
| isbn | 354008052X 038708052X |
| language | French |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001286282 |
| oclc_num | 164999623 |
| open_access_boolean | |
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| physical | IX, 212 Seiten Diagramme |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Caubet, Jean-Pierre (DE-588)1305977556 aut Le mouvement Brownien relativiste Jean-Pierre Caubet Berlin ; Heidelberg ; New York Springer-Verlag 1976 IX, 212 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 559 Brownse beweging gtt Matematica Aplicada larpcal Matematica larpcal Mecanica, Elasticidade E Reologia larpcal Mouvement brownien, Processus de Processos Markovianos larpcal Brownian motion processes Relativistischer Effekt (DE-588)4129534-1 gnd rswk-swf Brownsche Bewegung (DE-588)4128328-4 gnd rswk-swf Brownsche Bewegung (DE-588)4128328-4 s Relativistischer Effekt (DE-588)4129534-1 s DE-604 Lecture notes in mathematics 559 (DE-604)BV000676446 559 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001286282&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Caubet, Jean-Pierre Le mouvement Brownien relativiste Lecture notes in mathematics Brownse beweging gtt Matematica Aplicada larpcal Matematica larpcal Mecanica, Elasticidade E Reologia larpcal Mouvement brownien, Processus de Processos Markovianos larpcal Brownian motion processes Relativistischer Effekt (DE-588)4129534-1 gnd Brownsche Bewegung (DE-588)4128328-4 gnd |
| subject_GND | (DE-588)4129534-1 (DE-588)4128328-4 |
| title | Le mouvement Brownien relativiste |
| title_auth | Le mouvement Brownien relativiste |
| title_exact_search | Le mouvement Brownien relativiste |
| title_full | Le mouvement Brownien relativiste Jean-Pierre Caubet |
| title_fullStr | Le mouvement Brownien relativiste Jean-Pierre Caubet |
| title_full_unstemmed | Le mouvement Brownien relativiste Jean-Pierre Caubet |
| title_short | Le mouvement Brownien relativiste |
| title_sort | le mouvement brownien relativiste |
| topic | Brownse beweging gtt Matematica Aplicada larpcal Matematica larpcal Mecanica, Elasticidade E Reologia larpcal Mouvement brownien, Processus de Processos Markovianos larpcal Brownian motion processes Relativistischer Effekt (DE-588)4129534-1 gnd Brownsche Bewegung (DE-588)4128328-4 gnd |
| topic_facet | Brownse beweging Matematica Aplicada Matematica Mecanica, Elasticidade E Reologia Mouvement brownien, Processus de Processos Markovianos Brownian motion processes Relativistischer Effekt Brownsche Bewegung |
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