5 citations · 12 across the 15 of their papers we have counts for
3 papers · 1 filter
Ergodic invariant measures on the space of geodesic currents
Viveka Erlandsson, Gabriele Mondello
Let be a compact, connected, oriented surface, possibly with boundary, of negative Euler characteristic. In this article we extend Lindenstrauss-Mirzakhani's and Hamenstädt's c…
You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces
Moon Duchin, Viveka Erlandsson, Christopher J. Leininger +1
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tab…
Length functions on currents and applications to dynamics and counting
Viveka Erlandsson, Caglar Uyanik
The aim of this (mostly expository) article is twofold. We first explore a variety of length functions on the space of currents, and we survey recent work regarding applications of…