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Note rectificative: Asymptotic winding of the geodesic flow on modular surfaces and continuous fractions. (English) Zbl 0878.60052

The object of this note is to complete the proof of Theorem 2.1 in [the authors, ibid. 26, No. 1, 23-50 (1993; Zbl 0784.60076)]. The main steps of the proof are valid, but the replacement of the discrete coding time used in Proposition 4-3 by the time of the flow should have been done more carefully.

MSC:

60J65 Brownian motion
58J65 Diffusion processes and stochastic analysis on manifolds

Citations:

Zbl 0784.60076
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References:

[1] A. BROISE , Astérisque , n^\circ 238, 1996 . Zbl 0988.37032 · Zbl 0988.37032
[2] N. ENRIQUEZ , Thèse de l’Université Paris-Sud , 1995 .
[3] Y. GUIVARC’H , Ergod. Th & Dynam. Sys., 9, 1989 , pp. 433-453. MR 91b:58190 | Zbl 0693.58011 · Zbl 0693.58011
[4] Y. GUIVARC’H and G. HARDY , Ann. I.H.P., Vol. 24, 1988 , pp. 73-93.
[5] Y. GUIVARC’H and Y. LE JAN , Ann. Sci. E.N.S., T. 26, 1993 , pp. 23-50. Numdam | MR 94a:58157
[6] Y. LE JAN , C. R. Acad. Sci. Paris, 314, Séries I, 1992 , pp. 763-765. MR 93g:58160 | Zbl 0757.60076 · Zbl 0757.60076
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