33 citations · 42 across the 11 of their papers we have counts for
12 papers
Density Properties of Sets in Finite-Dimensional, Strictly Convex Banach Spaces
Bobby Wilson
In this article, we examine the theorem of Mattila establishing rectifiability for regular sets in the setting of strictly convex, finite-dimensional Banach spaces.
Distance sets bounds for polyhedral norms via effective dimension
Iqra Altaf, Ryan Bushling, Bobby Wilson
We prove that, for every norm on and every , the Hausdorff dimension of the distance set of with respect to that norm is at least $\dim…
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…
Scaled Oscillation and Level Sets
Iqra Altaf, Marianna Csornyei, Bobby Wilson
We study the size and regularity properties of level sets of continuous functions with bounded upper-scaled and lower-scaled oscillation.
Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori
Gigliola Staffilani, Bobby Wilson
A characteristic of the defocusing cubic nonlinear Schrödinger equation (NLSE), when defined so that the space variable is the multi-dimensional square (hence rational) torus, is t…
Weighted restriction estimates and application to Falconer distance set problem
Xiumin Du, Larry Guth, Yumeng Ou +3
We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved spherical average decay rates…