Analysis and geometry of metric measure spaces : lecture notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, 2011

Bewaard in:
Bibliografische gegevens
Coauteur: Séminaire de mathématiques supérieures :Montréal, Canada
Andere auteurs: Dafni, Galia Devora, 1968- (Publishing director), McCann, Robert John, 1968- (Publishing director), Stancu, Alina, 1968- (Publishing director)
Formaat: Livre papier
Taal:Anglais
Gepubliceerd in: Providence (R.I.) : American Mathematical Society cop. 2013.
Reeks:CRM proceedings & lecture notes Volume 56
Onderwerpen:
Autres localisations: Voir dans le Sudoc
Inhoudsopgave:
  • An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below / Luigi Ambrosio
  • Analysis on the Sierpinski carpet / M.T. Barlow
  • Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds / Thierry Coulhon
  • Regularity of minimal and almost minimal sets and cones: J. Taylor's theorem for beginners / Guy David
  • Lectures on Ma-Trudinger-Wang curvature and regularity of optimal transport maps / Young-Heon Kim
  • Five lectures on optimal transportation: geometry, regularity and applications / Robert J. McCann and Nestor Guillen
  • A proof of Bobkov's spectral bound for convex domains via Gaussian fitting and free energy estimation / Emanuel Milman
  • A visual introduction to Riemannian curvatures and some discrete generalizations / Yann Ollivier