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Fractional Heat Equations and Stochastic Processes in Nonlinear Spaces

Fractional Heat Equations and Stochastic Processes in Nonlinear Spaces

Datum: 11. Januar 2018 16:00

Ort: Allmandring 3, Seminarraum 1.079

Veranstalter: ICP

Fractional Heat Equations and Stochastic Processes in Nonlinear Spaces

Martina Zähle, Institut für Mathematik, Universität Jena

We will give a short introduction to some extensions of Euclidean notions like fractional powers of the Laplacian, associated PDE, potential spaces, semigroups, Dirichlet forms, stochastic processes and relationships between them. The underlying spaces are metric measure spaces admitting appropriate heat kernels, in particular, certain fractals.

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