2 citations · 3 across the 7 of their papers we have counts for
8 papers
On the boundary of almost isoperimetric domains
Erwann Aubry, Jean-François Grosjean
We prove that finite perimeter subsets of with small isoperimetric deficit have boundary Hausdorff-close to a sphere up to a subset of small measure. We also ref…
Approximation of the spectrum of a manifold by discretization
Erwann Aubry
We approximate the spectral data (eigenvalues and eigenfunctions) of compact Riemannian manifold by the spectral data of a sequence of (computable) discrete Laplace operators assoc…
Spectrum of hypersurfaces with small extrinsic radius or large in euclidean spaces
Erwann Aubry, Jean-Francois Grosjean
In this paper, we prove that Euclidean hypersurfaces with almost extremal extrinsic radius or have a spectrum that asymptotically contains the spectrum of the extremal sphere…
Metric shape of hypersurfaces with small extrinsic radius or large
Erwann Aubry, Jean-Francois Grosjean
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large or small extrinsic radius. The result depends on the norm of the curvature that is assume…
Hypersurfaces with small extrinsic radius or large in Euclidean spaces
Erwann Aubry, Jean-Francois Grosjean, Julien Roth
We prove that hypersurfaces of which are almost extremal for the Reilly inequality on and have -bounded mean curvature () are Hausdorff close to a sphere…
Bounds on the volume entropy and simplicial volume in Ricci curvature bounded from below
E. Aubry
Let be a compact manifold with Ricci curvature almost bounded from below and be a normal, Riemannian cover. We show that, for any nonnegative function …