3 papers
math.CA2025
Self-similar sets and Lipschitz graphs
Blair Davey, Silvia Ghinassi, Bobby Wilson
We investigate and quantify the distinction between rectifiable and purely unrectifiable 1-sets in the plane. That is, given that purely unrectifiable 1-sets always have null inter…
math.AP2025
Rectifiability and tangents in a rough Riemannian setting
Emily Casey, Max Goering, Tatiana Toro +1
Characterizing rectifiability of Radon measures in Euclidean space has led to fundamental contributions to geometric measure theory. Conditions involving existence of principal val…
math.AP2025
Global well-posedness and scattering for the defocusing mass-critical Schrödinger equation in the three-dimensional hyperbolic space
Bobby Wilson, Xueying Yu
In this paper, we prove that the initial value problem for the mass-critical defocusing nonlinear Schrödinger equation on the three-dimensional hyperbolic space is…