S. Craig

collaborators

2 papers

math.CA2025

The quasi-Assouad dimension of $(1, 2 t)$ -Furstenberg sets in $R^{3}$ is extremized by sticky sets

Sam Craig

A $(1, 2 t)$ -Furstenberg set in $R^{3}$ is naturally defined as a set containing a union of unit line segments forming a $2 t$ -dimensional subset of the affine Grassmannian in…

math.CA2024

Failure of weak-type endpoint restriction estimates for quadratic manifolds

Sam Craig

It is well-known that the Fourier extension operator for the paraboloid in $R^{d}$ cannot be weak-type bounded at the restriction endpoint $q = 2 d / (d - 1)$ , since such an esti…

The quasi-Assouad dimension of (1,2t)-Furstenberg sets in R3 is extremized by sticky sets

Failure of weak-type endpoint restriction estimates for quadratic manifolds

The quasi-Assouad dimension of $(1, 2 t)$ -Furstenberg sets in $R^{3}$ is extremized by sticky sets