J. Souto

activity

20022026

most citedInjections of mapping class groups

41 citations · 279 across the 62 of their papers we have counts for

collaborators

Showing 2016 · math.GTShow all

4 papers · 2 filters

math.GT2016★ 5 cited

Counting curves, and the stable length of currents

Viveka Erlandsson, Hugo Parlier, Juan Souto

Let $γ_{0}$ be a curve on a surface $Σ$ of genus $g$ and with $r$ boundary components and let $π_{1} (Σ) ↷ X$ be a discrete and cocompact action on some metric space. We s…

math.GT2016★ 4 cited

Geometric filling curves on surfaces

Ara Basmajian, Hugo Parlier, Juan Souto

This note is about a type of quantitative density of closed geodesics on closed hyperbolic surfaces. The main results are upper bounds on the length of the shortest closed geodesic…

math.GT2016

A remark about critical sets in $R^{3}$

Juan Souto

We give a necessary condition for a closed subset of $R^{3}$ to be the set of critical points of some smooth function. In particular we obtain that for example neither the Whitehead…

math.GT2016

Counting curve types

Tarik Aougab, Juan Souto

Let $S$ be a closed orientable hyperbolic surface, and let $O (K, S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections.…

Counting curves, and the stable length of currents

Geometric filling curves on surfaces

A remark about critical sets in R3

Counting curve types

A remark about critical sets in $R^{3}$