Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Paris
SMF
2006
|
| Schriftenreihe: | Mémoires de la SMF
105 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 89 S. |
| ISBN: | 9782856292181 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text |
MEMOIRES DE LA SMF 105 QUANTITATIVE ANALYSIS OF METASTABILITY IN
REVERSIBLE DIFFUSION PROCESSES VIA A WITTEN COMPLEX APPROACH: THE CASE
WITH BOUNDARY BERNARD HELFFER FRANCIS NIER SOCIETE MATHEMATIQUE DE
PRANCE 2006 PUBLIE AVEC LE CONCOURS DU CENTRE NATIONAL DE LA RECHERCHE
SCIENTIFIQUE CONTENTS 1. INTRODUCTION 1 2. AN APPROPRIATE SELF-ADJOINT
REALIZATION OF WITTEN LAPLACIANS WITH BOUNDARY 7 2.1. INTRODUCTION 7
2.2. DISTORTED DIFFERENTIALS AND ASSOCIATED WITTEN LAPLACIANS 7 2.3.
STOKES FORMULAS 8 2.4. TANGENTIAL DIRICHLET REALIZATION 12 2.5. BOUNDARY
REDUCED WITTEN COMPLEX 17 3. FIRST LOCALIZATION OF THE, SPECTRUM 19 3.1.
INTRODUCTION 19 3.2. MORSE-WITTEN THEORY FOR BOUNDARY VALUE PROBLEMS 19
3.3. A MODEL HALF-SPACE PROBLEM 20 3.4. REDUCTION TO THE LOCAL
HALF-SPACE PROBLEM 33 4. ACCURATE WKB ANALYSIS NEAR THE BOUNDARY FOR AI
' H 37 4.1. PRELIMINARY DISCUSSION 37 4.2. LOCAL WKB CONSTRUCTION 38
4.3. ANOTHER LOCAL DIRICHLET REALIZATION OF A* H 39 4.4. EXPONENTIAL
DECAY OF EIGENVECTORS OF A^- ' H 42 4.5. SMALL EIGENVALUES ARE
EXPONENTIALLY SMALL 46 4.6. ACCURATE COMPARISON WITH THE WKB SOLUTION 48
5. SADDLE SETS AND MAIN ASSUMPTIONS 55 5.1. PRELIMINARIES 55 5.2. SADDLE
SETS 55 5.3. MAIN ASSUMPTION, NOTATIONS AND FIRST CONSEQUENCES 59 6.
QUASIMODES 63 VI CONTENTS 7. RESULT AND FINAL PROOF 73 7. MAIN RESULT 73
7. FINITE DIMENSIONAL REDUCTION 74 7. SINGULAR VALUES AND INDUCTION 75
A. AN EXAMPLE IN DIMENSION 1 81 BIBLIOGRAPHY 87 MEMOIRES DE LA SMF 105 |
| adam_txt |
MEMOIRES DE LA SMF 105 QUANTITATIVE ANALYSIS OF METASTABILITY IN
REVERSIBLE DIFFUSION PROCESSES VIA A WITTEN COMPLEX APPROACH: THE CASE
WITH BOUNDARY BERNARD HELFFER FRANCIS NIER SOCIETE MATHEMATIQUE DE
PRANCE 2006 PUBLIE AVEC LE CONCOURS DU CENTRE NATIONAL DE LA RECHERCHE
SCIENTIFIQUE CONTENTS 1. INTRODUCTION 1 2. AN APPROPRIATE SELF-ADJOINT
REALIZATION OF WITTEN LAPLACIANS WITH BOUNDARY 7 2.1. INTRODUCTION 7
2.2. DISTORTED DIFFERENTIALS AND ASSOCIATED WITTEN LAPLACIANS 7 2.3.
STOKES FORMULAS 8 2.4. TANGENTIAL DIRICHLET REALIZATION 12 2.5. BOUNDARY
REDUCED WITTEN COMPLEX 17 3. FIRST LOCALIZATION OF THE, SPECTRUM 19 3.1.
INTRODUCTION 19 3.2. MORSE-WITTEN THEORY FOR BOUNDARY VALUE PROBLEMS 19
3.3. A MODEL HALF-SPACE PROBLEM 20 3.4. REDUCTION TO THE LOCAL
HALF-SPACE PROBLEM 33 4. ACCURATE WKB ANALYSIS NEAR THE BOUNDARY FOR AI
' H 37 4.1. PRELIMINARY DISCUSSION 37 4.2. LOCAL WKB CONSTRUCTION 38
4.3. ANOTHER LOCAL DIRICHLET REALIZATION OF A* H 39 4.4. EXPONENTIAL
DECAY OF EIGENVECTORS OF A^- ' H 42 4.5. SMALL EIGENVALUES ARE
EXPONENTIALLY SMALL 46 4.6. ACCURATE COMPARISON WITH THE WKB SOLUTION 48
5. SADDLE SETS AND MAIN ASSUMPTIONS 55 5.1. PRELIMINARIES 55 5.2. SADDLE
SETS 55 5.3. MAIN ASSUMPTION, NOTATIONS AND FIRST CONSEQUENCES 59 6.
QUASIMODES 63 VI CONTENTS 7. RESULT AND FINAL PROOF 73 7. MAIN RESULT 73
7. FINITE DIMENSIONAL REDUCTION 74 7. SINGULAR VALUES AND INDUCTION 75
A. AN EXAMPLE IN DIMENSION 1 81 BIBLIOGRAPHY 87 MEMOIRES DE LA SMF 105 |
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| dewey-full | 515.35 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
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| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:40:05Z |
| indexdate | 2024-10-15T12:00:45Z |
| institution | BVB |
| isbn | 9782856292181 |
| language | German |
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| oclc_num | 74672016 |
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| physical | VI, 89 S. |
| publishDate | 2006 |
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| publisher | SMF |
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| series | Mémoires de la SMF |
| series2 | Mémoires de la SMF |
| spelling | Helffer, Bernard 1949- Verfasser (DE-588)1031664645 aut Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary Bernard Helffer ; Francis Nier Paris SMF 2006 VI, 89 S. txt rdacontent n rdamedia nc rdacarrier Mémoires de la SMF 105 Boundary value problems Diffusion processes Eigenvalues Metastabilität (DE-588)4132888-7 gnd rswk-swf Diffusionsprozess (DE-588)4274463-5 gnd rswk-swf Diffusionsprozess (DE-588)4274463-5 s Metastabilität (DE-588)4132888-7 s DE-604 Nier, Francis Verfasser aut Mémoires de la SMF 105 (DE-604)BV000000921 105 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014988871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Helffer, Bernard 1949- Nier, Francis Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary Mémoires de la SMF Boundary value problems Diffusion processes Eigenvalues Metastabilität (DE-588)4132888-7 gnd Diffusionsprozess (DE-588)4274463-5 gnd |
| subject_GND | (DE-588)4132888-7 (DE-588)4274463-5 |
| title | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary |
| title_auth | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary |
| title_exact_search | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary |
| title_exact_search_txtP | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary |
| title_full | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary Bernard Helffer ; Francis Nier |
| title_fullStr | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary Bernard Helffer ; Francis Nier |
| title_full_unstemmed | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach the case with boundary Bernard Helffer ; Francis Nier |
| title_short | Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach |
| title_sort | quantitative analysis of metastability in reversible diffusion processes via a witten complex approach the case with boundary |
| title_sub | the case with boundary |
| topic | Boundary value problems Diffusion processes Eigenvalues Metastabilität (DE-588)4132888-7 gnd Diffusionsprozess (DE-588)4274463-5 gnd |
| topic_facet | Boundary value problems Diffusion processes Eigenvalues Metastabilität Diffusionsprozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014988871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000921 |
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