mini corso prof. Ivan Gentil a Pavia
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. -- Raffaella Carbone, PhD Ricercatore di Probabilità e Statistica Matematica Dipartimento di Matematica dell'Università degli Studi di Pavia
participants (1)
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Carbone Raffaella