Cari colleghi,
vi ricordiamo che il prof. Ivan Gentil (Université Lyon 1) terrà, presso il Dipartimento di Matematica dell'Università di Pavia, un mini-corso dal titolo
The Bakry-Emery condition applied to the functional inequality and contraction in Wasserstein distance
Abstract : During the lessons we would like to introduce the Bakry-Emery condition in the Euclidean space R^n and also in a Riemannian manifold. First we study the two classical examples: the Euclidean Heat semigroup and the Ornstein-Uhlenbeck semigroup. Then we define the general setting: a Markov semigroup associated to the Gamma and the Gamma-2 operators. Under the Bakry-Emery condition we obtain coercive inequalities which implies for instance functional inequality such as Poincaré or logarithmic-Sobolev inequalities. The last part of the course is devoted to the contraction in wasserstein distance under the Bakry-Emery condition.
Orario (provvisorio): ore 11-13 nei giorni 14, 15, 17, 20, 22, 24 gennaio 2014.