BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Discrete Ricci curvature with applications - Ollivier\, Y (Univers
 ite Paris-Sud)
DTSTART:20110518T130000Z
DTEND:20110518T140000Z
UID:TALK31397@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We define a notion of discrete Ricci curvature for a metric me
 asure space by looking at whether "small balls are closer than their cente
 rs are". In a Riemannian manifolds this gives back usual Ricci curvature u
 p to scaling. This definition is very easy to apply in a series of example
 s such as graphs (eg the discrete cube has positive curvature). We are abl
 e to generalize several Riemannian theorems in positive curvature\, such a
 s concentration of measure and the log-Sobolev inequality. This definition
  also allows to prove new theorems both in the Riemannian and discrete cas
 e: for example improved bounds on spectral gap of the Laplace-Beltrami ope
 rator\, and fast convergence results for some Monte Carlo Markov Chain met
 hods.\n\n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR