V. Erlandsson

activity

20062024

most citedCounting curves, and the stable length of currents

5 citations · 12 across the 15 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

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

Short closed geodesics with self-intersections

Viveka Erlandsson, Hugo Parlier

Our main point of focus is the set of closed geodesics on hyperbolic surfaces. For any fixed integer $k$ , we are interested in the set of all closed geodesics with at least $k$ (bu…

math.GT2016

A remark on the word length in surface groups

Viveka Erlandsson

Let $Σ$ be a surface of negative Euler characteristic and $S$ a generating set for $π_{1} (Σ, p)$ consisting of simple loops that are pairwise disjoint (except at $p$ ). We show that th…