Probability in Banach Spaces Isoperimetry and Processes

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  • Engels
  • Paperback
  • 9783642202117
  • 08 juli 2011
  • 480 pagina's
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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).

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.



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.

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Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
08 juli 2011
Aantal pagina's
480
Illustraties
Nee

Betrokkenen

Hoofdauteur
Michel Ledoux
Tweede Auteur
Michel Talagrand

Overige kenmerken

Editie
2011. Reprint of the 1st ed. 1991, Springer Berlin Heidelberg
Extra groot lettertype
Nee
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Nee
Verpakking breedte
159 mm
Verpakking hoogte
30 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
738 g

EAN

EAN
9783642202117

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