Now showing items 1-10 of 94
Guaranteed lower bounds on eigenvalues of elliptic operators with a hybrid high-order method
This paper introduces a novel hybrid high-order (HHO) method to approximate the eigenvalues of a symmetric compact differential operator. The HHO method combines two gradient reconstruction operators by means of a parameter ...
Relating a Rate-Independent System and a Gradient System for the Case of One-Homogeneous Potentials
We consider a non-negative and one-homogeneous energy functional J on a Hilbert space. The paper provides an exact relation between the solutions of the associated gradient-flow equations and the energetic solutions ...
How Secure Are Two-Way Ping-Pong and LM05 QKD Protocols under a Man-in-the-Middle Attack?
We consider a man-in-the-middle attack on two-way quantum key distribution ping-pong and LM05 protocols in which an eavesdropper copies all messages in the message mode, while being undetectable in the mode. Under the ...
Robust Principal Component Pursuit via Inexact Alternating Minimization on Matrix Manifolds
Robust principal component pursuit (RPCP) refers to a decomposition of a data matrix into a low-rank component and a sparse component. In this work, instead of invoking a convex-relaxation model based on the nuclear norm ...
The unirationality of the moduli space of K3 surfaces of genus 22
Using the connection discovered by Hassett between the Noether-Lefschetz moduli space C42 of special cubic fourfolds of discriminant 42 and the moduli space F22 of polarized K3 surfaces of genus 22, we show that the universal ...
On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces
For a Banach space X of R^M-valued functions on a Lipschitz domain, let K(X) ⊂ X be a closed convex set arising from pointwise constraints on the value of the function, its gradient or its divergence, respectively. The ...