Asymptotic Singular Homology of a Complete Hyperbolic 3-Manifold of Finite Volume |
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| Authors: | Franchi J |
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| Institution: | Laboratoire de Probabilités de Paris 6 4 place Jussieu, tour 56, 3ème étage, 75252 Paris cedex 05, France Faculté des Sciences de Paris 12 61 avenue de Gaulle, 94010 Créteil cedex, France; e-mail: franchi{at}ccr.jussieu.fr |
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| Abstract: | Let V be a complete connected hyperbolic 3-manifold of finitevolume, with Liouville measure m, geodesic flow  t and Brownianmotion Zt. Let  be a smooth 1-form, closed in the cusps of V.Then the limit laws as t   of  under m and of  are calculated, and seen to be Gaussian, and equal. The geodesic flow case isstudied via the Brownian case. 1991 Mathematics Subject Classification:60J65, 58F17, 51M10. |
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