10 citations · 41 across the 14 of their papers we have counts for
14 papers
Pseudo-Laplacian on a cuspidal end with a flat unitary line bundle: Alvarez--Wentworth boundary conditions
Mathieu Dutour
A cuspidal end is a type of metric singularity, described as a product with the Poincaré metric. The underlying set can also be seen as $\mat…
Pseudo-Laplacian on a cuspidal end with a flat unitary line bundle: Dirichlet boundary conditions
Mathieu Dutour
A cuspidal end is a type of metric singularity, described as a product with the Poincaré metric. The underlying set can also be seen as $\mat…
A New Algorithm in Geometry of Numbers
Mathieu Dutour, Konstantin Rybnikov
A lattice Delaunay polytope P is called perfect if its Delaunay sphere is the only ellipsoid circumscribed about P. We present a new algorithm for finding perfect Delaunay polytope…
Perfect Delaunay Polytopes in Low Dimensions
Mathieu Dutour, Robert Erdahl, Konstantin Rybnikov
A lattice Delaunay polytope is known as perfect if the only ellipsoid, that can be circumscribed about it, is its Delaunay sphere. Perfect Delaunay polytopes are in one-to-one corr…
Elementary elliptic -polycycles
Michel Deza, Mathieu Dutour, Mikhail Shtogrin
We consider the following generalization of the decomposition theorem for polycycles. A {\em -polycycle} is, roughly, a plane graph, whose faces, besides some disjoint {\em…
Zigzag structure of complexes
Michel Deza, Mathieu Dutour
Inspired by Coxeter's notion of Petrie polygon for -polytopes (see \cite{Cox73}), we consider a generalization of the notion of zigzag circuits on complexes and compute the zigz…