Canonical lift and exit law of the fundamental diffusion associated with a kleinian group
Séminaire de probabilités de Strasbourg, Tome 35 (2001), pp. 206-219.
@article{SPS_2001__35__206_0,
     author = {Enriquez, Nathana\"el and Franchi, Jacques and Le Jan, Yves},
     title = {Canonical lift and exit law of the fundamental diffusion associated with a kleinian group},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {206--219},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {35},
     year = {2001},
     mrnumber = {1837289},
     zbl = {0974.60067},
     language = {en},
     url = {http://www.numdam.org/item/SPS_2001__35__206_0/}
}
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Enriquez, Nathanaël; Franchi, Jacques; Le Jan, Yves. Canonical lift and exit law of the fundamental diffusion associated with a kleinian group. Séminaire de probabilités de Strasbourg, Tome 35 (2001), pp. 206-219. http://www.numdam.org/item/SPS_2001__35__206_0/

[A] Ancona A. Théorie du potentiel sur les graphes et les variétés. Ecole d'été de probabilités de Saint-Flour XVIII, Lecture Notes 1427, Springer 1990. | MR | Zbl

[E] Enriquez N. Thèse de l'Université Paris Sud , 3eme partie, 91405 Orsay, Septembre 1995.

[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. | MR | Zbl

[E-F-LJ-2] Enriquez N., Franchi J., Le Jan Y. Stable windings on hyperbolic surfaces. Prépublication, September 1999.

[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. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[L] Ledrappier F. Harmonic 1-forms on the stable foliation. Bol. Soc. Bras. Math. 25, n° 2, 121-138, 1994. | MR | Zbl

[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. | MR | Zbl

[LJ2] Le Jan Y. Free energy for Brownian and geodesic homology. Probab. Theory Rel. Fields 102, 57-61, 1995. | MR | Zbl

[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 Analysis59, 470-489, 1984. | MR | Zbl

[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. | MR | Zbl

[Ni] Nicholls P.J. The ergodic theory of discrete groups. London Math. Society, Lecture Note Series n° 143, Cambridge University Press, 1989. | MR | Zbl

[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. | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[Su1] Sullivan D. The density at infinity of a discrete group of hyperbolic motions. Publ. Math. I.H.E.S.50, 171-209, 1979. | Numdam | MR | Zbl

[Su2] Sullivan D. Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups. Acta Math. 153, 259-277, 1984. | MR | Zbl