Comparison properties of diffusion semigroups on spaces with lower curvature bounds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Bonn
Math. Inst. der Univ.
2003
|
| Series: | Bonner mathematische Schriften
355 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 90 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV017560118 | ||
| 003 | DE-604 | ||
| 005 | 20120904 | ||
| 007 | t | ||
| 008 | 031007s2003 gw m||| 00||| eng d | ||
| 016 | 7 | |a 968880924 |2 DE-101 | |
| 035 | |a (OCoLC)634472177 | ||
| 035 | |a (DE-599)BVBBV017560118 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-19 |a DE-91G |a DE-29T |a DE-703 |a DE-355 |a DE-706 |a DE-20 |a DE-11 |a DE-188 | ||
| 084 | |a SI 180 |0 (DE-625)143093: |2 rvk | ||
| 084 | |a MAT 539d |2 stub | ||
| 084 | |a MAT 206d |2 stub | ||
| 100 | 1 | |a Renesse, Max-K. von |e Verfasser |0 (DE-588)128597542 |4 aut | |
| 245 | 1 | 0 | |a Comparison properties of diffusion semigroups on spaces with lower curvature bounds |c vorgelegt von Max-K. v. Renesse |
| 264 | 1 | |a Bonn |b Math. Inst. der Univ. |c 2003 | |
| 300 | |a 90 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Bonner mathematische Schriften |v 355 | |
| 502 | |a Zugl.: Bonn, Univ., Diss., 2002 | ||
| 650 | 0 | 7 | |a Stochastische Differentialgeometrie |0 (DE-588)4226826-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Alexandrov-Raum |0 (DE-588)4724767-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Diffusionsprozess |0 (DE-588)4274463-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Halbgruppe |0 (DE-588)4022990-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Krümmung |0 (DE-588)4128765-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Stochastische Differentialgeometrie |0 (DE-588)4226826-6 |D s |
| 689 | 0 | 1 | |a Diffusionsprozess |0 (DE-588)4274463-5 |D s |
| 689 | 0 | 2 | |a Halbgruppe |0 (DE-588)4022990-7 |D s |
| 689 | 0 | 3 | |a Alexandrov-Raum |0 (DE-588)4724767-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Diffusionsprozess |0 (DE-588)4274463-5 |D s |
| 689 | 1 | 1 | |a Halbgruppe |0 (DE-588)4022990-7 |D s |
| 689 | 1 | 2 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |D s |
| 689 | 1 | 3 | |a Krümmung |0 (DE-588)4128765-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Bonner mathematische Schriften |v 355 |w (DE-604)BV000001610 |9 355 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010568865 | ||
Record in the Search Index
| _version_ | 1804130331843887104 |
|---|---|
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02344nam a2200553 cb4500</leader><controlfield tag="001">BV017560118</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120904 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">031007s2003 gw m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">968880924</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)634472177</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017560118</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 180</subfield><subfield code="0">(DE-625)143093:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 539d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 206d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Renesse, Max-K. von</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128597542</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Comparison properties of diffusion semigroups on spaces with lower curvature bounds</subfield><subfield code="c">vorgelegt von Max-K. v. Renesse</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bonn</subfield><subfield code="b">Math. Inst. der Univ.</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">90 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Bonner mathematische Schriften</subfield><subfield code="v">355</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Bonn, Univ., Diss., 2002</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastische Differentialgeometrie</subfield><subfield code="0">(DE-588)4226826-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Alexandrov-Raum</subfield><subfield code="0">(DE-588)4724767-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Diffusionsprozess</subfield><subfield code="0">(DE-588)4274463-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Halbgruppe</subfield><subfield code="0">(DE-588)4022990-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Krümmung</subfield><subfield code="0">(DE-588)4128765-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stochastische Differentialgeometrie</subfield><subfield code="0">(DE-588)4226826-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Diffusionsprozess</subfield><subfield code="0">(DE-588)4274463-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Halbgruppe</subfield><subfield code="0">(DE-588)4022990-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Alexandrov-Raum</subfield><subfield code="0">(DE-588)4724767-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Diffusionsprozess</subfield><subfield code="0">(DE-588)4274463-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Halbgruppe</subfield><subfield code="0">(DE-588)4022990-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="3"><subfield code="a">Krümmung</subfield><subfield code="0">(DE-588)4128765-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Bonner mathematische Schriften</subfield><subfield code="v">355</subfield><subfield code="w">(DE-604)BV000001610</subfield><subfield code="9">355</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010568865</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV017560118 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:19:20Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010568865 |
| oclc_num | 634472177 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-29T DE-703 DE-355 DE-BY-UBR DE-706 DE-20 DE-11 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-29T DE-703 DE-355 DE-BY-UBR DE-706 DE-20 DE-11 DE-188 |
| 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 |
| 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 |
| volume_link | (DE-604)BV000001610 |
| work_keys_str_mv | AT renessemaxkvon comparisonpropertiesofdiffusionsemigroupsonspaceswithlowercurvaturebounds |