40 citations · 295 across the 45 of their papers we have counts for
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On the unit component of the Newman-Unti group
Alexander Schmeding
In this short note we identify the unit component of the Newman--Unti (NU) group in the fine very strong topology. In previous work, this component has been endowed with an infinit…
Deep neural networks on diffeomorphism groups for optimal shape reparameterization
Elena Celledoni, Helge Glöckner, Jørgen Riseth +1
One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization rea…
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
Rafael Dahmen, Sylvie Paycha, Alexander Schmeding
We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces of holomorphic and polar germs.…
The geometry of controlled rough paths
Mazyar Ghani Varzaneh, Sebastian Riedel, Alexander Schmeding +1
We prove that the spaces of controlled (branched) rough paths of arbitrary order form a continuous field of Banach spaces. This structure has many similarities to an (infinite-dime…