Measure concentration functional inequalities and curvature of metric measure spaces

M. Ledoux, Institut De Mathématiques De Toulouse, France

Description

Measure concentration, functional inequalities, and curvature of metric measure spaces M. Ledoux, Institut de Mathematiques de Toulouse, France Luminy, March 2008

• between analysis


• measure phenomenon


• metric measure

Sujets

• Institut de Mathématiques de Toulouse
• Ledoux

Informations

• Publié par: pefav
• Nombre de lectures: 17
• Langue: English
• Poids de l'ouvrage: 1 Mo

Extrait

Measure concentration, functional inequalities, and curvature of metric measure spaces

M.Ledoux,InstitutdeMathe´matiquesdeToulouse,France

Luminy, March 2008

circleofideas

between analysis, geometry and probability theory

circleofideas

between analysis, geometry and probability theory

•

concentration of measure phenomenon

circleofideas

between analysis, geometry and probability theory

•

•

concentration of measure phenomenon

geometric, measure/information theoretic, functional inequalities

circleofideas

between analysis, geometry and probability theory

•

•

•

concentration of measure phenomenon

geometric, measure/information theoretic, functional inequalities

curvature of metric measure spaces

circleofideas

between analysis, geometry and probability theory

•

•

•

concentration of measure phenomenon

geometric, measure/information theoretic, functional inequalities

curvature of metric measure spaces

theoryofoptimal transportation

concentration

of

measure

phenomenon

concentration

of

measure

V. Milman 1970

phenomenon

concentration

of

measure

V. Milman 1970

phenomenon

Dvoretzky’s theoremonspherical sections ofconvex bodiesinhigh dimension

concentration

of

measure

V. Milman 1970

phenomenon

Dvoretzky’s theoremonspherical sections ofconvex bodiesinhigh dimension

for allε >0, there existsδ(ε)>0such that forevery convex body KinR n ,