1 citations · 2 across the 6 of their papers we have counts for
6 papers
Relative systoles in hyperelliptic translation surfaces
Corentin Boissy, Slavyana Geninska
In this paper we prove that the systole fonction on a connected component of area one translation surfaces admits a local maximum that is not a global maximum if and only if the co…
Systoles in translation surfaces
Corentin Boissy, Slavyana Geninska
For a translation surface, we define the systole to be the length of the shortest saddle connection. We give a characterization of the maxima of the systole function on a stratum,…
The limit sets of subgroups of lattices in
Slavyana Geninska
In this paper we give a description of the possible limit sets of finitely generated subgroups of irreducible lattices in .
Examples of infinite covolume subgroups of with big limit sets
Slavyana Geninska
We provide examples of finitely generated infinite covolume subgroups of with a "big" limit set, e.g. that contains an open subset of the geometric boundary. They are…
The limit set of subgroups of arithmetic groups in
Slavyana Geninska
While lattices in semi-simple Lie groups are studied very well, only little is known about discrete subgroups of infinite covolume. The main class of examples are Schottky groups.…
A geometric characterization of arithmetic Fuchsian groups
S. Geninska, E. Leuzinger
The trace set of a Fuchsian group ist the set of length of closed geodesics in the surface . Luo and Sarnak showed that the trace set of a cofinite arit…