55 citations · 319 across the 34 of their papers we have counts for
34 papers
Anisotropic curvature measures and volume preserving flows
Ben Andrews, Yitao Lei, Yong Wei +1
In the first part of this paper, we develop the theory of anisotropic curvature measures for convex bodies in the Euclidean space. It is proved that any convex body whose boundary…
Fragility of non-convergence in preferential attachment graphs with three types
Ben Andrews, Jonathan Jordan
Preferential attachment networks are a type of random network where new nodes are connected to existing ones at random, and are more likely to connect to those that already have ma…
The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions
Ben Andrews, Julie Clutterbuck, Daniel Hauer
For Schrödinger operators on an interval with either convex or symmetric single-well potentials, and Robin or Neumann boundary conditions, the gap between the two lowest eigenvalue…
Harmonic mean curvature flow and geometric inequalities
Ben Andrews, Yingxiang Hu, Haizhong Li
In this article, we will use the harmonic mean curvature flow to prove a new class of Alexandrov-Fenchel type inequalities for strictly convex hypersurfaces in hyperbolic space in…
Closed ideal planar curves
Ben Andrews, James McCoy, Glen Wheeler +1
In this paper we use a gradient flow to deform closed planar curves to curves with least variation of geodesic curvature in the sense. Given a smooth initial curve we show th…
Gradient estimates via two-point functions for elliptic equations on manifolds
Ben Andrews, Changwei Xiong
We derive estimates relating the values of a solution at any two points to the distance between the points, for quasilinear isotropic elliptic equations on compact Riemannian manif…