The distribution of values of the Poincare pairing for hyperbolic Riemann surfaces
Yiannis N. Petridis, Morten Skarsholm Risager
Abstract
For a cocompact group of SL2(R) we fix a non-zero harmonic 1-form . We normalize and order the values of the Poincare pairing <gamma,> according to the length of the corresponding closed geodesic l(gamma). We prove that these normalized values have a Gaussian distribution.
Create a lesson
Related papers
An ergodic approach to equations of the form x+y=α(n)
Vitaly Bergelson, Hao Pan, Saúl Rodríguez Martín
Rogers--Ramanujan identities from the geometry of Xa=Yb
Yifeng Huang, Kenny Lau, Ken Ono
Computational results on sums of a prime with squares or cubes
Kenny Applegate, Kyle Pratt
Finding New Limit Points of Mahler Measure by Methods of Missing Data Restoration
Jean-Marc Sac-Épée, Souad El Otmani, Armand Maul et al.
Low moments of automorphic random multiplicative function sums
Sun-Kai Leung
A problem of Yang and Chen on weighted representation functions
Shuang-Shuang Li, Ya-Ting Xu, Xiao-Hui Yan