Mathematical Physics Seminar

Series: Mathematical Physics Seminar Series

Gaussian measures on manifolds of metrics

Dmitry Jakobson, Peter Redpath Professor, Professor, McGill University, Montreal,

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.

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For more information, please contact Rupert Frank by email at [email protected] or visit http://www.pma.caltech.edu/master-calendar/lecture-series/40496/2015.