3 citations · 9 across the 15 of their papers we have counts for
18 papers
Asymptotic mean value Laplacian on equiregular sub-Riemannian manifolds
Fabrice Baudoin, Jonathan Junné, David Tewodrose
Let be a smooth equiregular sub-Riemannian manifold equipped with a smooth positive measure . We study the small-scale limit of the metric-ball mean-value op…
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-Émery weighted Riemannia…
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…
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…
Spectral properties of symmetrized AMV operators
Manuel Dias, David Tewodrose
The symmetrized Asymptotic Mean Value Laplacian , obtained as limit of approximating operators , is an extension of the classical Euclidean Laplace operator to…
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-Émery
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}…
Torus stability under Kato bounds on the Ricci curvature
Gilles Carron, Ilaria Mondello, David Tewodrose
We show two stability results for a closed Riemannian manifold whose Ricci curvature is small in the Kato sense and whose first Betti number is equal to the dimension. The first on…
Limits of manifolds with a Kato bound on the Ricci curvature. II
Gilles Carron, Ilaria Mondello, David Tewodrose
We prove that metric measure spaces obtained as limits of closed Riemannian manifolds with Ricci curvature satisfying a uniform Kato bound are rectifiable. In the case of a non-col…
Symmetrized and non-symmetrized Asymptotic Mean Value Laplacian in metric measure spaces
Andreas Minne, David Tewodrose
The asymptotic mean value Laplacian - AMV Laplacian - extends the Laplace operator from to metric measure spaces through limits of averaging integrals. The AMV Lapla…
Limits of manifolds with a Kato bound on the Ricci curvature
Gilles Carron, Ilaria Mondello, David Tewodrose
We study the structure of Gromov-Hausdorff limits of sequences of Riemannian manifolds whose Ricci curvature satisfies a uniform Kato bound. We first obt…
Weighted Sobolev Inequalities in CD(0,N) spaces
David Tewodrose
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0,N) spaces satisfying a suitable growth condition, extending to possibly non-smooth and non-Riemannia…
Adimensional weighted Sobolev inequalities in PI spaces
David Tewodrose
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ah…
A survey on spectral embeddings and their applications in data analysis
David Tewodrose
The aim of this survey is to present some aspects of the Bérard-Besson-Gallot spectral embeddings of a closed Riemannian manifold from their origins in Riemannian geometry to more…
A rigidity result for metric measure spaces with Euclidean heat kernel
Gilles Carron, David Tewodrose
We prove that a metric measure space equipped with a Dirichlet form admitting an Euclidean heat kernel is necessarily isometric to the Euclidean space. This helps us providing an a…
Asymptotic Mean Value Laplacian in Metric Measure Spaces
Andreas Minne, David Tewodrose
We use the mean value property in an asymptotic way to provide a notion of a pointwise Laplacian, called AMV Laplacian, that we study in several contexts including the Heisenberg g…
Embedding of spaces in via eigenfunctions
Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies +1
In this paper we study the family of embeddings of a compact space into via eigenmaps. Extending part of the classical results by Bérard, Bé…
Short-time behavior of the heat kernel and Weyl's law on -spaces
Luigi Ambrosio, Shouhei Honda, David Tewodrose
In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of -spaces. We obtain as a corollary results on the short-time behavior of th…