3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CA2021
A -dimensional Analyst's Travelling Salesman Theorem for subsets of Hilbert space
Matthew Hyde
We are interested in quantitative rectifiability results for subsets of infinite dimensional Hilbert space . We prove a version of Azzam and Schul's -dimensional Analyst's Tr…
math.CA2021★ 1 cited
Cone and paraboloid points of arbitrary subsets of Euclidean space
Matthew Hyde, Michele Villa
In this paper we characterise cone points of arbitrary subsets of Euclidean space. Given , is a cone point of if and only if \begin{align*} \i…
math.CA2020★ 3 cited
A -dimensional Analyst's Travelling Salesman Theorem for general sets in
Matthew Hyde
In his 1990 paper, Jones proved the following: given , there exists a curve such that and \[ \mathscr{H}^1(Γ) \sim \text{diam}\, E + \…