Raanan Schul

activity

20062025

most citedMultiscale analysis of 1-rectifiable measures: necessary conditions

18 citations · 74 across the 18 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.MG2009★ 9 cited

How to take shortcuts in Euclidean space: making a given set into a short quasi-convex set

Jonas Azzam, Raanan Schul

For a given connected set $Γ$ in $d -$ dimensional Euclidean space, we construct a connected set $Γ ~ \supset Γ$ such that the two sets have comparable Hausdorff length, and the s…

math.MG2009★ 4 cited

A doubling measure on $R^{d}$ can charge a rectifiable curve

John Garnett, Rowan Killip, Raanan Schul

For $d \geq 2$ , we construct a doubling measure $ν$ on $R^{d}$ and a rectifiable curve $Γ$ such that $ν (Γ) > 0$ .

How to take shortcuts in Euclidean space: making a given set into a short quasi-convex set

A doubling measure on Rd can charge a rectifiable curve

A doubling measure on $R^{d}$ can charge a rectifiable curve