40 citations · 295 across the 45 of their papers we have counts for
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Metric Geometry of the Signature Group for -Variation Rough Paths
Felix Medwed, Sylvie Paycha, Alexander Schmeding
The signatures of -rough paths form a subgroup of sufficiently high-level truncated tensor algebras, whose inverse limit is a subgroup of the full tensor algebra. For …
Flows and Homotopies of Banach Lie algebroids
Fernand Pelletier, Alexander Schmeding
We establish flow and homotopy tools for Banach Lie algebroids that do not rely on compactly supported extensions. Under suitable hypotheses, we construct parameter-dependent local…
Optimization on Weak Riemannian Manifolds
Valentina Zalbertus, Max Pfeffer, Alexander Schmeding
Riemannian structures on infinite-dimensional manifolds arise naturally in shape analysis and shape optimization. These applications lead to optimization problems on manifolds whic…