2 citations · 2 across the 4 of their papers we have counts for
6 papers
Euler characteristics of -orbit graphs of origamis
Luke Jeffreys, Carlos Matheus
The -orbits of primitive -squared origamis can be represented by finite four-regular graphs. It is a conjecture of McMullen that the orbit graphs of such origa…
On the monodromy and spin parity of single-cylinder origamis in the minimal stratum
Tarik Aougab, Adam Friedman-Brown, Luke Jeffreys +1
In a paper with Menasco-Nieland, the first author constructed factorially many origamis in the minimal stratum of the moduli space of translation surfaces having simultaneously a s…
Meanders, hyperelliptic pillowcase covers, and the Johnson filtration
Luke Jeffreys
We provide minimal constructions of meanders with particular combinatorics. Using these meanders, we give minimal constructions of hyperelliptic pillowcase covers with a single hor…
Statistical hyperbolicity for harmonic measure
Aitor Azemar, Vaibhav Gadre, Luke Jeffreys
We consider harmonic measures that arise from random walks on the mapping class group determined by probability distributions that have finite first moment with respect to the Teic…
Single-cylinder square-tiled surfaces and the ubiquity of ratio-optimising pseudo-Anosovs
Luke Jeffreys
In every connected component of every stratum of Abelian differentials, we construct square-tiled surfaces with one vertical and one horizontal cylinder. We show that for all but t…
Minimally intersecting filling pairs on the punctured surface of genus two
Luke Jeffreys
In this short note, we construct a minimally intersecting pair of simple closed curves that fill a genus 2 surface with an odd, greater than 3, number of punctures. This finishes t…