- Vivi Padova
- Il Bo
SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Martedi' 15 marzo alle ore 12:30 in aula 1BC50 Robert Neel (Lehigh University, Bethlehem, PA) terra' un seminario dal titolo "Heat kernel asymptotics at the cut locus".
We give small-time asymptotic expansions for the gradient and Hessian of the logarithm of the heat kernel at the cut locus of a Riemannian manifold. We relate the leading terms of the expansions to the structure of the cut locus, especially to conjugacy, and we provide a probabilistic interpretation in terms of the Brownian bridge. In particular, we can characterize the cut locus in terms of the behavior of the log-Hessian. We also mention how the distributional asymptotics can be used to compute the distributional Hessian of the energy function.
Rif. int. M. Bardi, C. Marchi, G. Colombo