We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
Vincent D. Blondel, Mert Gurbuzbalaban, Alexandre ...
The convergence problem of the Laplace-Beltrami operators plays an essential role in the convergence analysis of the numerical simulations of some important geometric partial diff...
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tilings of Rd by the unit cube in relation to the Minkowski Conjecture (now a theorem...
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...