Canonical lift and exit law of the fundamental diffusion associated with a kleinian group

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1. [A] Ancona A.Théorie du potentiel sur les graphes et les variétés. Ecole d'été de probabilités de Saint-Flour XVIII, Lecture Notes1427, Springer1990. Zbl0719.60074MR1100282
2. [E] Enriquez N.Thèse de l'Université Paris Sud , 3eme partie, 91405 Orsay, Septembre 1995. 
3. [E-F-LJ-1] Enriquez N., Franchi J., Le Jan Y.Enroulements des géodésiques sous la mesure de Patterson-Sullivan. C.R.A.S.Paris, tome 326, Série 1, 723-726, 1998. Zbl0932.37013MR1641770
4. [E-F-LJ-2] Enriquez N., Franchi J., Le Jan Y.Stable windings on hyperbolic surfaces. Prépublication, September 1999. 
5. [E-LJ] Enriquez N., Le Jan Y.Statistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature. Rev. Mat. Iberoamericana, Vol. 13, 2, 377-401, 1997. Zbl0907.58054MR1617645
6. [F] Franchi J.Asymptotic singular homology of a complete hyperbolic 3-manifold of Finite Volume. Proc. London Math. Soc. (3) n° 79, 451-480, 1999. Zbl1056.58012MR1702250
7. [G] GUIVARC'H Y.Sur la représentation intégrale des fonctions harmoniques et des fonctions propres positives dans un espace riemannien symétrique. Bull. Sci. Math., 2e série, n° 108, 373-392, 1984. Zbl0562.31006MR784674
8. [L] Ledrappier F.Harmonic 1-forms on the stable foliation. Bol. Soc. Bras. Math.25, n° 2, 121-138, 1994. Zbl0821.58034MR1306557
9. [LJ1] Le Jan Y.The central limit theorem for the geodesic flow on non compact manifolds of constant negative curvature. Duke Math. J.74 n° 1, 159-175, 1994. Zbl0809.58031MR1271468
10. [LJ2] Le Jan Y.Free energy for Brownian and geodesic homology. Probab. Theory Rel. Fields102, 57-61, 1995. Zbl0822.60022MR1351710
11. [L-MG-T] Lyons T.J., Mac Gibbon K.B., Taylor J.C.Projection theorems for hitting probabilities and a theorem of Littlewood. Journal of Functional Analysis n° 59, 470-489, 1984. Zbl0566.58036MR769377
12. [M] Mandouvalos N.Scattering operator, Eisenstein series, inner product formula and Maass-Selberg relations for Kleinian groups. Memoirs of the A.M.S. vol 78, n° 400, 1989. Zbl0673.10023MR989747
13. [Ni] Nicholls P.J.The ergodic theory of discrete groups. London Math. Society, Lecture Note Series n° 143, Cambridge University Press, 1989. Zbl0674.58001MR1041575
14. [P] Patterson S.J.Lectures on measures on limit sets of Kleinian groups. Analytical and geometrical aspects of hyperbolic space, D. Epstein editor, 281-323, London Math. Society, Lecture Note Series n° 111, Cambridge University Press, 1987. Zbl0611.30036
15. [P-S] Phillips R.S., Sarnak P.The Laplacean for domains in hyperbolic space and limit sets of Kleinian groups. Acta Math.155, 173-241, 1985. Zbl0611.30037MR806414
16. [S-V] Stratman B., Velani S.L.The Patterson measure for geometrically finite groups with parabolic elements, new and old. Proc. London Math. Soc. (3) n° 71, 197-220, 1995. Zbl0821.58026MR1327939
17. [Su1] Sullivan D.The density at infinity of a discrete group of hyperbolic motions. Publ. Math. I.H.E.S. n° 50, 171-209, 1979. Zbl0439.30034MR556586
18. [Su2] Sullivan D.Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Acta Math.153, 259-277, 1984. Zbl0566.58022MR766265