1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.GR2025
On multiplicities in length spectra of semi-arithmetic hyperbolic surfaces
Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1
We show that semi-arithmetic surfaces of arithmetic dimension two which admit a modular embedding have exponential growth of mean multiplicities in their length spectrum. Prior to…
math.GR2023★ 1 cited
Geometry and arithmetic of semi-arithmetic Fuchsian groups
Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1
Semi-arithmetic Fuchsian groups is a wide class of discrete groups of isometries of the hyperbolic plane which includes arithmetic Fuchsian groups, hyperbolic triangle groups, grou…
math.GT2020
Closed geodesics on semi-arithmetic Riemann surfaces
Gregory Cosac, Cayo Dória
In this article, we study geometric aspects of semi-arithmetic Riemann surfaces by means of number theory and hyperbolic geometry. First, we show the existence of infinitely many s…