Analytical and probabilistic methods in the geometry of convex bodies:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Warszawa
IMPAN
2014
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| Series: | IMPAN lecture notes
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 183 S. graph. Darst. |
| ISBN: | 9788386806249 |
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Record in the Search Index
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Contents Concentration inequalities and geometry of convex bodies Olivier Guédon, Piotr Nayar and Tomasz Tkocz Analytic methods in convex geometry Dmitry Ryabogin and Artem Zvavitch 9 87
Contents 1. Introduction. 2. Brascamp-Lieb inequalitiesin a geometric context. 2.1. Motivation and formulation of the inequality. 2.2. The proof. 2.3. Consequences of the Brascamp-Lieb inequality. 2.4. Notes and comments . 3. Bordi and Prékopa-Leindler type inequalities. Ball’s bodies. 3.1. Brunn-Minkowski inequality. 3.2. Functional version of the Brunn-Minkowski inequality. 3.3. Functional version of the Blaschke-Santaló inequality. 3.4. Bordi and Ball functional inequalities. 3.5. Consequences in convex geometry. 3.6. Notes and comments . 4. Concentration of measure. Dvoretzky’sTheorem. 4.1. Isoperimetric problem. 4.2. Concentration
inequalities. 4.3. Dvoretzky’s Theorem. 4.4. Comparison of moments of a norm of a Gaussian vector. 4.5. Notes and comments . 5. Reverse Holder inequalities and volumes of sections of convex bodies. 5.1. Berwald’s inequality and its extensions. 5.2. Some concentration inequalities. 5.3. Kahane-Khinchin type inequalities . 5.4. Notes and comments . 6. Concentration of mass of a log-concave measure . 6.1. The result . 6.2. Zp-bodies associated with a measure. 6.3. The final step. 6.4. Notes, comments and further reading. References. 13 17 17 19 23 26 27 27 29 33 35 37 43 45 45 47 53 57 59
60 60 68 69 70 72 72 73 79 80 82 |
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| id | DE-604.BV042406325 |
| illustrated | Illustrated |
| indexdate | 2025-01-30T17:03:33Z |
| institution | BVB |
| isbn | 9788386806249 |
| language | English |
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| physical | 183 S. graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | IMPAN |
| record_format | marc |
| series | IMPAN lecture notes |
| series2 | IMPAN lecture notes |
| spelling | Guédon, Olivier ca. 20./21. Jh. Verfasser (DE-588)1234191946 aut Analytical and probabilistic methods in the geometry of convex bodies Olivier Guédon ; Piotr Nayar and Tomasz Tkocz Warszawa IMPAN 2014 183 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier IMPAN lecture notes 2 Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Konvexe Geometrie (DE-588)4407260-0 gnd rswk-swf Konvexer Körper (DE-588)4165214-9 s Konvexe Geometrie (DE-588)4407260-0 s DE-604 Nayar, Piotr ca. 20./21. Jh. Verfasser (DE-588)1234192322 aut Tkocz, Tomasz ca. 20./21. Jh. Verfasser (DE-588)1234192225 aut IMPAN lecture notes 2 (DE-604)BV042406283 2 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027841932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guédon, Olivier ca. 20./21. Jh Nayar, Piotr ca. 20./21. Jh Tkocz, Tomasz ca. 20./21. Jh Analytical and probabilistic methods in the geometry of convex bodies IMPAN lecture notes Konvexer Körper (DE-588)4165214-9 gnd Konvexe Geometrie (DE-588)4407260-0 gnd |
| subject_GND | (DE-588)4165214-9 (DE-588)4407260-0 |
| title | Analytical and probabilistic methods in the geometry of convex bodies |
| title_auth | Analytical and probabilistic methods in the geometry of convex bodies |
| title_exact_search | Analytical and probabilistic methods in the geometry of convex bodies |
| title_full | Analytical and probabilistic methods in the geometry of convex bodies Olivier Guédon ; Piotr Nayar and Tomasz Tkocz |
| title_fullStr | Analytical and probabilistic methods in the geometry of convex bodies Olivier Guédon ; Piotr Nayar and Tomasz Tkocz |
| title_full_unstemmed | Analytical and probabilistic methods in the geometry of convex bodies Olivier Guédon ; Piotr Nayar and Tomasz Tkocz |
| title_short | Analytical and probabilistic methods in the geometry of convex bodies |
| title_sort | analytical and probabilistic methods in the geometry of convex bodies |
| topic | Konvexer Körper (DE-588)4165214-9 gnd Konvexe Geometrie (DE-588)4407260-0 gnd |
| topic_facet | Konvexer Körper Konvexe Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027841932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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