Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps
摘要
We consider a large class of non compact hyperbolic manifolds M = H n / with cusps and we prove that the winding process (Yt) generated by a closed 1-form supported on a neighborhood of a cusp C, satisfies a limit theorem, with an asymptotic stable law and a renormalising factor depending only on the rank of the cusp C and the Poincar exponent of . No assumption on the value of is required and this theorem generalises previous results due to Y.
引用本文（GB/T 7714）
Martine Babillot, Marc Peigné. Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps[J]. Bulletin de la Société mathématique de France, 2006.
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