5 papers · 1 filter
Strong Kato limit can be branching
Gilles Carron, Ilaria Mondello, David Tewodrose
We provide an example of a non-collapsed strong Kato limit that is branching, essentially branching, and satisfies neither the nor the c…
A Dynkin condition for manifolds with boundary
Marie Bormann, David Tewodrose
We propose a Dynkin-type condition for smooth Riemannian manifolds with boundary. We show that this condition implies bi-Lipschitz equivalence with a Bakry-Ãmery weighted Riemanni…
Manifolds with kinks and the asymptotic behavior of the graph Laplacian operator with Gaussian kernel
Susovan Pal, David Tewodrose
We introduce manifolds with kinks, a class of manifolds with possibly singular boundary that notably contains manifolds with smooth boundary and corners. We derive the asymptotic b…
Critical metrics of eigenvalue functionals via Clarke subdifferential
Romain Petrides, David Tewodrose
We set up a new framework to study critical points of functionals defined as combinations of eigenvalues of operators with respect to a given set of parameters: Riemannian metrics,…
Kato meets Bakry-Ãmery
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that any complete Riemannian manifold with negative part of the Ricci curvature in a suitable Dynkin class is bi-Lipschitz equivalent to a finite-dimensional $\mathrm{RCD}…