Cari colleghi,
vi annunciamo 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.
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Raffaella Carbone, PhD
Ricercatore di Probabilità e Statistica Matematica
Dipartimento di Matematica dell'Università degli Studi di Pavia