Around Nash Inequalities

Dominique Bakry (1, 2) , François Bolley (3) , Ivan Gentil (4)

1 IUF - Institut universitaire de France
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
4 ICJ - Institut Camille Jordan

The aim of this short note is to explain how Nash inequalities lead to such estimates in a general setting and also to show simple techniques used to establish the required Nash inequalities.

Domaines: Probabilités [math.PR]

Dominique Bakry, François Bolley, Ivan Gentil. Around Nash Inequalities. Journées équations aux dérivées partielles (2010), Jun 2011, Biarritz, France. http://jedp.cedram.org/jedp-bin/browse?id=JEDP_2010___. ⟨hal-00609026⟩