• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

Logarithmic Sobolev inequality for diffusion semigroups

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
Pages
15
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

Related items

Showing items related by title and author.

  • Thumbnail
    Nonlinear diffusions, hypercontractivity and the optimal Lp-Euclidean logarithmic Sobolev inequality 
    Del Pino, Manuel; Dolbeault, Jean; Gentil, Ivan (2004) Article accepté pour publication ou publié
  • Thumbnail
    From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality 
    Gentil, Ivan (2008) Article accepté pour publication ou publié
  • Thumbnail
    Phi-entropy inequalities for diffusion semigroups 
    Bolley, François; Gentil, Ivan (2010) Article accepté pour publication ou publié
  • Thumbnail
    A logarithmic fourth-order parabolic equation and related logarithmic Sobolev inequalities 
    Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar (2006) Article accepté pour publication ou publié
  • Thumbnail
    Modified logarithmic Sobolev inequalities and transportation inequalities 
    Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent (2005) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo