We consider a large class of nou compact hyperbolic manifolds M = IHP/r with cusps and we prove that the winding process (Vj) generated by a closed 1-fonii 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 Poincare exponent 5 of P. No assumption on the value of S is required and this theorem generalises previous results due to Y. Guivarc'h, Y. Le Jan, J. Franchi and N. Enriquez.
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机译：我们考虑一类带有尖顶的nou紧致双曲流形M = IHP / r，我们证明了由封闭在尖顶C附近的1-fonii产生的缠绕过程（Vj）满足极限定理，且渐近稳定定律和正则化因子仅取决于C的等级和P的Poincare指数5。不需要假设S的值，并且该定理归因于Y. Guivarc'h，Y. Le Jan，J。Franchi和N.Enriquez。
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