8 citations · 12 across the 3 of their papers we have counts for
4 papers
Equidistribution of geodesics on homology classes and analogues for free groups
Yiannis Petridis, Morten S. Risager
We investigate how often geodesics have homology in a fixed set of the homology lattice of a compact Riemann surface. We prove that closed geodesics are equidistributed on any sets…
Modular symbols have a normal distribution
Yiannis N. Petridis, Morten Skarsholm Risager
We prove that the modular symbols appropriately normalized and ordered have a Gaussian distribution for all cofinite subgroups of SL_2(R). We use spectral deformations to study the…
Distribution of modular symbols for compact surfaces
Morten Skarsholm Risager
We prove that the modular symbols appropriately normalized and ordered have an asymptotical normal distribution for all cocompact subgroups of SL_2(R). We introduce hyperbolic Eise…
Asymptotic densities of newforms
Morten Skarsholm Risager
We define the counting function for non-analytic (Maass) newforms of Hecke congruence groups_Gamma_0(M)_. We then calculate the three main terms of this counting function and give…