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.
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