Concentration of measure phenomenon and eigenvalues of Laplacian
Speaker:
Kei Funano
Date and Time:
Tuesday, September 14, 2010 - 10:45am to 11:05am
Location:
Fields Institute, Room 230
Abstract:
In this talk, we discuss the relation between the concentration of measure phenomenon and (behavior of) eigenvalues of Laplacian on a closed Riemannian manifold. M. Gromov and V. D. Milman was first studied for the case of the first non-trivial eigenvalue of Laplacian. Under non-negative Ricci curvature assumption we study the case of the k-th eigenvalues of Laplacian for any k.