3 papers
math.CA2025
On the packing dimension of distance sets with respect to and polyhedral norms
Iqra Altaf, Ryan Bushling, Bobby Wilson
We prove that, for every polyhedral or norm on and every set of packing dimension , the packing dimension of the distance set of…
math.AP2022
Modified Scattering of Cubic Nonlinear Schrödinger Equation on Rescaled Waveguide Manifolds
Bobby Wilson, Xueying Yu
We use modified scattering theory to demonstrate that small-data solutions to the cubic nonlinear Schrödinger equation on rescaled waveguide manifolds, $\mathbb{R} \times \mathbb{T…
math.AP2014
Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger Equation
Bobby Wilson
This article explores the questions of long time orbital stability in high order Sobolev norms of plane wave solutions to the NLSE in the defocusing case.