Comparison properties of diffusion semigroups on spaces with lower curvature bounds:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Bonn
Math. Inst. der Univ.
2003
|
| Schriftenreihe: | Bonner mathematische Schriften
355 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010568865&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 90 S. |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 A 961-355 |
|---|---|
| DE-BY-TUM_katkey | 1433059 |
| DE-BY-TUM_location | 01 |
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| adam_text | Titel: Comparison properties of diffusion semigroups on spaces with lower curvature bounds
Autor: Renesse, Max-K. von
Jahr: 2003
Contents
1 Introduction......................................................................5
2 Intrinsic Coupling on Manifolds................................................9
2.1 Construction ............................................................9
2.2 The Central Limit Theorem for Coupled Random Walks............15
2.3 The Coupling Probability and Gradient Estimates..........21
2.4 Extension to Riemannian Polyhedra....................................27
3 Alexandrov Spaces...............................37
4 Gradient Estimates on Alexandrov Surfaces .................43
4.1 An Integral Gauss-Bonnet-Formula..................43
4.2 Distributional Gaussian Curvature Bounds ..........................53
5 The Heat Kernel on Alexandrov Spaces...................57
5.1 Volume Regularity......................................................57
5.2 Dirichlet Forms and Laplacians on Metric Spaces..........62
5.3 Laplacian Comparison..................................................65
5.4 Heat Kernel Comparison........................69
5.5 Eigenvalue Comparison.........................73
5.6 Distance and Short Time Asymptotics................................73
5.7 Diffusion Process Comparison..........................................74
6 Appendix........................................................................79
6.1 A - Remark on Coupling by Dirichlet Forms..........................79
6.2 B - More about the Geometry of Alexandrov Spaces.........83
Bibliography...................................87
|
| any_adam_object | 1 |
| author | Renesse, Max-K. von |
| author_GND | (DE-588)128597542 |
| author_facet | Renesse, Max-K. von |
| author_role | aut |
| author_sort | Renesse, Max-K. von |
| author_variant | m k v r mkv mkvr |
| building | Verbundindex |
| bvnumber | BV017560118 |
| classification_rvk | SI 180 |
| classification_tum | MAT 539d MAT 206d |
| ctrlnum | (OCoLC)634472177 (DE-599)BVBBV017560118 |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV017560118 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:20:38Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010568865 |
| oclc_num | 634472177 |
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| physical | 90 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Math. Inst. der Univ. |
| record_format | marc |
| series | Bonner mathematische Schriften |
| series2 | Bonner mathematische Schriften |
| spellingShingle | Renesse, Max-K. von Comparison properties of diffusion semigroups on spaces with lower curvature bounds Bonner mathematische Schriften Stochastische Differentialgeometrie (DE-588)4226826-6 gnd Alexandrov-Raum (DE-588)4724767-8 gnd Diffusionsprozess (DE-588)4274463-5 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Halbgruppe (DE-588)4022990-7 gnd Krümmung (DE-588)4128765-4 gnd |
| subject_GND | (DE-588)4226826-6 (DE-588)4724767-8 (DE-588)4274463-5 (DE-588)4037379-4 (DE-588)4022990-7 (DE-588)4128765-4 (DE-588)4113937-9 |
| title | Comparison properties of diffusion semigroups on spaces with lower curvature bounds |
| title_auth | Comparison properties of diffusion semigroups on spaces with lower curvature bounds |
| title_exact_search | Comparison properties of diffusion semigroups on spaces with lower curvature bounds |
| title_full | Comparison properties of diffusion semigroups on spaces with lower curvature bounds vorgelegt von Max-K. v. Renesse |
| title_fullStr | Comparison properties of diffusion semigroups on spaces with lower curvature bounds vorgelegt von Max-K. v. Renesse |
| title_full_unstemmed | Comparison properties of diffusion semigroups on spaces with lower curvature bounds vorgelegt von Max-K. v. Renesse |
| title_short | Comparison properties of diffusion semigroups on spaces with lower curvature bounds |
| title_sort | comparison properties of diffusion semigroups on spaces with lower curvature bounds |
| topic | Stochastische Differentialgeometrie (DE-588)4226826-6 gnd Alexandrov-Raum (DE-588)4724767-8 gnd Diffusionsprozess (DE-588)4274463-5 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Halbgruppe (DE-588)4022990-7 gnd Krümmung (DE-588)4128765-4 gnd |
| topic_facet | Stochastische Differentialgeometrie Alexandrov-Raum Diffusionsprozess Mannigfaltigkeit Halbgruppe Krümmung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010568865&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001610 |
| work_keys_str_mv | AT renessemaxkvon comparisonpropertiesofdiffusionsemigroupsonspaceswithlowercurvaturebounds |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 A 961-355 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |