Jenya Sapir

activity

20062026

most citedBounds on the number of non-simple closed geodesics on a surface

18 citations · 42 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.GT2022

An extension of the Thurston metric to projective filling currents

Jenya Sapir

We study the geometry of the space of projectivized filling geodesic currents $P C_{f i l l} (S)$ . Bonahon showed that Teichmüller space, $T (S)$ embeds into $…

math.GT2022

A length comparison theorem for geodesic currents

Jenya Sapir

We work with the space $C (S)$ of geodesic currents on a closed surface $S$ of negative Euler characteristic. By prior work of the author with Sebastian Hensel, each fillin…

math.CO2022★ 1 cited

Simple vs non-simple loops on random regular graphs

Benjamin Dozier, Jenya Sapir

In this note we solve the ``birthday problem'' for loops on random regular graphs. Namely, for fixed $d \geq 3$ , we prove that on a random $d$ -regular graph with $n$ vertices, as $n$ …