Probability in Banach Spaces: Isoperimetry and Processes
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1991
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics
23 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed |
| Beschreibung: | 1 Online-Ressource (XII, 480 p.) 2 illus |
| ISBN: | 9783642202124 9783642202117 |
| ISSN: | 0071-1136 |
| DOI: | 10.1007/978-3-642-20212-4 |
Internformat
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| 490 | 0 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |v 23 |x 0071-1136 | |
| 500 | |a Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Systems theory | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
| 650 | 4 | |a Real Functions | |
| 650 | 4 | |a Systems Theory, Control | |
| 650 | 4 | |a Calculus of Variations and Optimal Control; Optimization | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Ledoux, Michel |
| author_facet | Ledoux, Michel |
| author_role | aut |
| author_sort | Ledoux, Michel |
| author_variant | m l ml |
| building | Verbundindex |
| bvnumber | BV042422488 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863956085 (DE-599)BVBBV042422488 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-20212-4 |
| format | Electronic eBook |
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| id | DE-604.BV042422488 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642202124 9783642202117 |
| issn | 0071-1136 |
| language | English |
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| physical | 1 Online-Ressource (XII, 480 p.) 2 illus |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1991 |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics |
| spelling | Ledoux, Michel Verfasser aut Probability in Banach Spaces Isoperimetry and Processes by Michel Ledoux, Michel Talagrand Berlin, Heidelberg Springer Berlin Heidelberg 1991 1 Online-Ressource (XII, 480 p.) 2 illus txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics 23 0071-1136 Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed Mathematics Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Real Functions Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Banach-Raum (DE-588)4004402-6 s 1\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 2\p DE-604 Talagrand, Michel Sonstige oth https://doi.org/10.1007/978-3-642-20212-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ledoux, Michel Probability in Banach Spaces Isoperimetry and Processes Mathematics Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Real Functions Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Banach-Raum (DE-588)4004402-6 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4004402-6 (DE-588)4079013-7 |
| title | Probability in Banach Spaces Isoperimetry and Processes |
| title_auth | Probability in Banach Spaces Isoperimetry and Processes |
| title_exact_search | Probability in Banach Spaces Isoperimetry and Processes |
| title_full | Probability in Banach Spaces Isoperimetry and Processes by Michel Ledoux, Michel Talagrand |
| title_fullStr | Probability in Banach Spaces Isoperimetry and Processes by Michel Ledoux, Michel Talagrand |
| title_full_unstemmed | Probability in Banach Spaces Isoperimetry and Processes by Michel Ledoux, Michel Talagrand |
| title_short | Probability in Banach Spaces |
| title_sort | probability in banach spaces isoperimetry and processes |
| title_sub | Isoperimetry and Processes |
| topic | Mathematics Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Real Functions Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Banach-Raum (DE-588)4004402-6 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Mathematics Systems theory Mathematical optimization Distribution (Probability theory) Probability Theory and Stochastic Processes Real Functions Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Mathematik Wahrscheinlichkeitsrechnung Banach-Raum Wahrscheinlichkeitstheorie |
| url | https://doi.org/10.1007/978-3-642-20212-4 |
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