Papers
and
Preprints:
1.
Jorgensen's inequality for discrete
groups in normed algebras.
(with
S.
Friedland),
Duke
Math. J. 69 (1993), 593 --
614 [pdf
file]
2.
Covolume estimates for discrete groups
of hyperbolic isometries having parabolic elements.
Mich.
Math. J. 40
(1993), 467-- 475 [pdf
file]
3.
A generalization of the
Shimizu-Leutbecher lemma and the Jorgensen inequality to Mobius
transformations
in R^n.
Proc. Amer. Math. Soc. 121 (1994), 209 --
215 [pdf
file]
4.
On the volumes of complex hyperbolic
manifolds.
(with
F. Paulin),
Duke Math.
J. 84 (1996), 719 --737 [pdf
file]
5.
Groups of automorphisms of trees and
their limit sets.
(with
J. H.
Hubbard),
Ergodic
Theory and Dynamical 17 (1997), 869 --
884 [pdf
file]
6.
On the rigidity of discrete isometry
groups of negatively curved spaces.
(with
F. Paulin),
Comm. Math.
Helv. 72 (1997), 349 --388 [pdf
file]
7.
On the Betti number of the smallest
closed hyperbolic 3-manifold.
(with
M. Culler and
P.B.
Shalen),
Topology 37 (1998), 805 --
849 [pdf
file]
8.
Counting horoballs and rational
geodesics.
(with
F. Paulin and
K.
Belabas),
Bull of the L. M. S., 33
(2001), 606 -- 612 [pdf file]
9.
Hausdorff dimension of
diophantine geodesics in negatively curved
manifolds.
(with
F. Paulin),
Journal fur
die reine und angewandte Mathematik, 539
(2001), 29 -- 43 [pdf file]
10.
Diophantine approximation in negatively
curved manifolds and
in the Heisnberg group.
(with
F. Paulin),
``Rigidity
in dynamics and geometry (Cambridge, 2000)'', Springer, Berlin (2002),
203 -- 226 [pdf
file]
11.
Diophantine approximations for
negatively curved manifolds.
(with
F. Paulin),
Mathematische
Zeitschrift, 241
(2002),
181-- 226 [pdf file]
12.
Approximations by maximal cusps on the
boundary of quasiconformal deformation space.
(with
R.D.
Canary, M.
Culler and
P.B. Shalen),
Jour. of
Differential Geometry,
64
(2003) , 57 --109 [pdf
file]
13.
Counting orbit points in coverings of
negatively curved manifolds and Hausdorff dimension of cusp excursions.
(with
F. Paulin),
Ergodic
Theory and Dynamical Systems, 24
(2004), 803
-- 824 [pdf file]
14.
Ubiquity of geometric finitness in
boundaries of deformation spaces of hyperbolic 3 manifolds.
(with
R.D.
Canary),
American Jour.
of Math., 126 (2004), 1193
-- 1220
[pdf
file]
16.
Energy and length in a topological planar
quadrilateral.
Euro. Journal of Combinatorics, 29
(2008), 208-217 [pdf file]
18. Boundary Value Problems on Planar Graphs and Flat Surfaces with integer cone singularities, I: The Dirichlet problem. accepted for publication (November 2010) - Crelle [pdf file]