Toronto Probability

Event Information Gaussian measures on manifolds of metrics
15:10 on Friday November 27, 2015
16:00 on Friday November 27, 2015
FI210, Fields Institute, 222 College St.
Dmitry Jakobson

McGill University

This is joint work with Y. Canzani, B. Clarke, N. Kamran, L. Silberman and J. Taylor. We define Gaussian measures on manifolds of metrics with the fixed volume form. We next compute the moment generating function for the L2 (Ebin) distance to the reference metric. We also prove integrability results (with respect to our measures) for functionals such as Laplace eigenvalues, diameter, and volume entropy.