Wednesday, November 8, 2023 - 14:15 in V3-201 + Zoom
Convergence of diffusions and eigenvalues in rough domains
A talk in the Bielefeld Stochastic Afternoon series by
Alexander Teplyaev
| Abstract: |
Dirichlet form analysis gives powerful tools to study diffusions in non-smooth settings, and Mosco convergence is a standard approach to study approximations. However, Mosco convergence may not be sufficient to understand finer properties, such as convergence of eigenvalues and small deviations of diffusion processes. The talk will present two recent results that strengthen Mosco convergence of Dirichlet forms. One result deals with Euclidean extension domains with irregular, or fractal, boundaries (joint work with Michael Hinz and Anna Rozanova-Pierrat). The other result deals with small deviations in sub-Riemannian situations (joint work with Marco Carfagnini and Masha Gordina).
Within the CRC this talk is associated to the project(s): B1 |
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