Logarithmic Sobolev inequality for diffusion semigroups

Gentil, Ivan

Gentil, Ivan (2009), Logarithmic Sobolev inequality for diffusion semigroups, Optimal transportation: Theory and applications, 2009-06, Grenoble, France

Type

Communication / Conférence

External document link

http://hal.archives-ouvertes.fr/hal-00518780/fr/

Date

2009

Conference title

Optimal transportation: Theory and applications

Conference date

2009-06

Conference city

Grenoble

Conference country

France

Metadata

Show full item record

Author(s)

Gentil, Ivan

Abstract (EN)

Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalities. Moreover an alternative method using the optimal mass transportation, is also given to obtain the logarithmic Sobolev inequality.

Subjects / Keywords

Bckry-Emery criterion; Ornstein-Uhlenbeck semi-group; Poincaré inequality; Logarithmic Sobolev inequality