activity
20022005
most citedDistribution of modular symbols for compact surfaces

8 citations · 12 across the 3 of their papers we have counts for

collaborators
Showing 2003Show all

2 papers · 1 filter

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…

math.NT2003★ 8 cited

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…