M. Hyde

activity

20202026

most citedA

d

-dimensional Analyst's Travelling Salesman Theorem for general sets in

R^{n}

3 citations · 4 across the 8 of their papers we have counts for

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math.CA2020★ 3 cited

A $d$ -dimensional Analyst's Travelling Salesman Theorem for general sets in $R^{n}$

Matthew Hyde

In his 1990 paper, Jones proved the following: given $E \subseteq R^{2}$ , there exists a curve $Γ$ such that $E \subseteq Γ$ and \[ \mathscr{H}^1(Γ) \sim \text{diam}\, E + \…

math.CA2020

The weak lower density condition and uniform rectifiability

Jonas Azzam, Matthew Hyde

We show that an Ahlfors $d$ -regular set $E$ in $R^{n}$ is uniformly rectifiable if the set of pairs $(x, r) \in E \times (0, \infty)$ for which there exists $y \in B (x, r)$ and…

A d-dimensional Analyst's Travelling Salesman Theorem for general sets in Rn

The weak lower density condition and uniform rectifiability

A $d$ -dimensional Analyst's Travelling Salesman Theorem for general sets in $R^{n}$