Comparison properties of diffusion semigroups on spaces with lower curvature bounds:
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| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Bonn
Math. Inst. der Univ.
2003
|
| Schriftenreihe: | Bonner mathematische Schriften
355 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 90 S. |
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MARC
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Datensatz im Suchindex
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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 |
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| author_sort | Renesse, Max-K. von |
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| 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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| indexdate | 2024-07-09T19:19:20Z |
| institution | BVB |
| language | English |
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| physical | 90 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Math. Inst. der Univ. |
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| series | Bonner mathematische Schriften |
| series2 | Bonner mathematische Schriften |
| spelling | Renesse, Max-K. von Verfasser (DE-588)128597542 aut Comparison properties of diffusion semigroups on spaces with lower curvature bounds vorgelegt von Max-K. v. Renesse Bonn Math. Inst. der Univ. 2003 90 S. txt rdacontent n rdamedia nc rdacarrier Bonner mathematische Schriften 355 Zugl.: Bonn, Univ., Diss., 2002 Stochastische Differentialgeometrie (DE-588)4226826-6 gnd rswk-swf Alexandrov-Raum (DE-588)4724767-8 gnd rswk-swf Diffusionsprozess (DE-588)4274463-5 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Halbgruppe (DE-588)4022990-7 gnd rswk-swf Krümmung (DE-588)4128765-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Stochastische Differentialgeometrie (DE-588)4226826-6 s Diffusionsprozess (DE-588)4274463-5 s Halbgruppe (DE-588)4022990-7 s Alexandrov-Raum (DE-588)4724767-8 s DE-604 Mannigfaltigkeit (DE-588)4037379-4 s Krümmung (DE-588)4128765-4 s Bonner mathematische Schriften 355 (DE-604)BV000001610 355 HBZ Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |
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