85 citations · 170 across the 17 of their papers we have counts for
24 papers
The Komlós conjecture for complex discrepancy
Nestor Guillen, Vladimir A. Kobzar
The Komlós conjecture is a classic problem in discrepancy theory; it asks whether an absolute constant exists such that given any vectors inside the -di…
Online Komlós converges to mean curvature flow
Nestor Guillen, Vladimir A. Kobzar
We determine the asymptotics of a game inspired by classic vector balancing problems in combinatorial discrepancy theory. In this game, which we call the online Komlós game, two pl…
A Convex Optimization Framework for Regularized Geodesic Distances
Michal Edelstein, Nestor Guillen, Justin Solomon +1
We propose a general convex optimization problem for computing regularized geodesic distances. We show that under mild conditions on the regularizer the problem is well posed. We p…
Hardy's inequality and (almost) the Landau equation
Maria Gualdani, Nestor Guillen
In this manuscript we establish an estimate for the isotropic analogue of the homogeneous Landau equation. This is done for values of the interaction exponent in (a…
A Hele-Shaw limit without monotonicity
Nestor Guillen, Inwon Kim, Antoine Mellet
We study the incompressible limit of the porous medium equation with a right hand side representing either a source or a sink term, and an injection boundary condition. This model…
Optimal transport and the Gauss curvature equation
Nestor Guillen, Jun Kitagawa
In this short note, we consider the problem of prescribing the Gauss curvature and image of the Gauss map for the graph of a function over a domain in Euclidean space. The prescrip…