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Yiannis N. Petridis, Morten S. Risager

The distribution of values of the Poincaré pairing for hyperbolic Riemann surfaces

For a cocompact group of SL₂(?) we fix a non-zero harmonic 1-form ?. We normalize and order the values of the Poincaré pairing ? ?,?? according to the length of the corresponding closed geodesic l(?). We prove that these normalized values have a Gaussian distribution.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2005, 03/2005
Pages: 159 - 173

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