Geometry & Topology Volume 18, issue 1 (2014)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Other MSP Journals

Moments of the boundary hitting function for the geodesic flow on a hyperbolic manifold

Martin Bridgeman and Ser Peow Tan

Geometry & Topology 18 (2014) 491–520

DOI: 10.2140/gt.2014.18.491

Bibliography

1	A Basmajian, The orthogonal spectrum of a hyperbolic manifold, Amer. J. Math. 115 (1993) 1139 MR1246187
2	F Bonahon, The geometry of Teichmüller space via geodesic currents, Invent. Math. 92 (1988) 139 MR931208
3	M Bridgeman, Orthospectra of geodesic laminations and dilogarithm identities on moduli space, Geom. Topol. 15 (2011) 707 MR2800364
4	M Bridgeman, D Dumas, Distribution of intersection lengths of a random geodesic with a geodesic lamination, Ergodic Theory Dynam. Systems 27 (2007) 1055 MR2342965
5	M Bridgeman, J Kahn, Hyperbolic volume of manifolds with geodesic boundary and orthospectra, Geom. Funct. Anal. 20 (2010) 1210 MR2746952
6	D Calegari, Chimneys, leopard spots and the identities of Basmajian and Bridgeman, Algebr. Geom. Topol. 10 (2010) 1857 MR2684984
7	D Calegari, Bridgeman's orthospectrum identity, Topology Proc. 38 (2011) 173 MR2680162
8	W Goldman, G Margulis, Y Minsky, Complete flat Lorentz $3$–manifolds and laminations on hyperbolic surfaces, in preparation
9	L Lewin, editor, Structural properties of polylogarithms, Mathematical Surveys and Monographs 37, Amer. Math. Soc. (1991) MR1148371
10	B Maskit, Kleinian groups, Grundl. Math. Wissen. 287, Springer (1988) MR959135
11	P J Nicholls, The ergodic theory of discrete groups, London Mathematical Society Lecture Note Series 143, Cambridge Univ. Press (1989) MR1041575
12	A Papadopoulos, G Théret, Shortening all the simple closed geodesics on surfaces with boundary, Proc. Amer. Math. Soc. 138 (2010) 1775 MR2587462
13	H Parlier, Lengths of geodesics on Riemann surfaces with boundary, Ann. Acad. Sci. Fenn. Math. 30 (2005) 227 MR2173363
14	L J Rogers, On function sum theorems connected with the series formula, Proc. London Math. Soc. S2-4 (1907) 169 MR1576083
15	D Sullivan, The density at infinity of a discrete group of hyperbolic motions, Inst. Hautes Études Sci. Publ. Math. (1979) 171 MR556586