Christian Selinger mathematician PhD 8th of november 2010 at the University of Luxembourg with A. Thalmaier on "Geometry and Stochastic Calculus on Wasserstein spaces" Research interests Optimal transport, measure-valued stochastic processes, (stochastic) differential geometry Publications Christian Selinger: Zeta function regularized Laplacian on the smooth Wasserstein space above the unit circle. Theory of Stochastic Processes 17(33) (2011), 109--118. Via elements of second order differential geometry on smooth Wasserstein spaces of probability measures we give an explicit formula for a Laplacian in the case that the Wasserstein space is based on the unit circle. The Laplacian on this infinite dimensional manifold is calculated as trace of the Hessian in the sense of Zeta function regularization. Its square field operator is the square norm of the Wasserstein gradient. Preprint version as [pdf]
Megalodonts bivalves fossils at the foot of the Gosau glacier, 2010
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