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math.PR2026
Stochastic completeness for landmark space
Karen Habermann, Stefan Sommer
We study stochastic completeness for landmark spaces equipped with Riemannian metrics induced by right-invariant metrics on subgroups of the diffeomorphism group of the shape domai…
math.PR2025
Brownian motion on spaces of discrete regular curves
Karen Habermann, Emmanuel Hartman
We introduce and study Brownian motion on spaces of discrete regular curves in Euclidean space equipped with discrete Sobolev-type metrics. It has been established that these space…
math.PR2024
Score matching for sub-Riemannian bridge sampling
Erlend Grong, Karen Habermann, Stefan Sommer
Simulation of conditioned diffusion processes is an essential tool in inference for stochastic processes, data imputation, generative modelling, and geometric statistics. Whilst si…