9 citations · 9 across the 4 of their papers we have counts for
4 papers
Concavity Properties of Solutions of Elliptic Equations under Conformal Deformations
Gabriel Khan, Soumyajit Saha, Malik Tuerkoen
We study the Dirichlet problem for the weighted Schrödinger operator \[-Δu +Vu = λρu,\] where is a positive weighting function and is a potential. Such equations appear nat…
Interior Hulls of Clean Lattice Parallelograms and Continued Fractions
Gabriel Khan, Mizan R. Khan, Riaz R. Khan +1
The interior hull of a lattice polygon is the convex closure of the lattice points in the interior of the polygon. In this paper we give a concrete description of the interior hull…
Modulus of Concavity and Fundamental Gap Estimates on Surfaces
Gabriel Khan, Malik Tuerkoen, Guofang Wei
The fundamental gap of a domain is the difference between the first two eigenvalues of the Laplace operator. In a series of recent and celebrated works, it was shown that for conve…
When Optimal Transport Meets Information Geometry
Gabriel Khan, Jun Zhang
Information geometry and optimal transport are two distinct geometric frameworks for modeling families of probability measures. During the recent years, there has been a surge of r…