2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2008
Hyperbolic lattice-point counting and modular symbols
Yiannis N. Petridis, Morten S. Risager
For a cocompact group $\G$ of $\slr$ we fix a real non-zero harmonic 1-form . We study the asymptotics of the hyperbolic lattice-counting problem for $\G$ under restrictions imp…
math.NT2005★ 2 cited
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…
math.NT2003★ 2 cited
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…