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Sorbonne Universit´ es, UPMC Univ Paris 06 Institut de Math´ ematiques de Jussieu- Paris Rive Gauche UMR 7586, CNRS, Univ Paris Diderot, Sorbonne Paris Cit´ e, F-75005, Paris,
The main purpose of the present paper consists in providing a straightforward proof of Carleman estimates for second order elliptic operators with real coef- ficients in the
One can thus replace Open (M ) by a more sophisticated category whose objects are “manifolds with some structure” and whose maps are “structure-preserving embeddings.” (In the
The latter describe the genealogy of self-similar fragmentation processes , which, reciprocally, are known to record the size of the components of a (continuous) fragmentation
We improve their genus 2 case algorithm, generalize it for genus 3 hyperelliptic curves and introduce a way to deal with the genus 3 non-hyperelliptic case, using algebraic
A principal motivation for studying these operators is the characterization, proved by Haagerup and Schultz [11], that, for elements of a tracial von Neumann algebra,
Our aim here is to characterise the Higgs bundles which correspond to linearly full minimal immersions and show how the Higgs bundle data relates to the metric and second
finite number of simple convex deformations that preserve the boundary and such that Π ′ contains either a deletable edge or a contractible edge.. In this note we