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1
W Abikoff , B
Maskit , Geometric decompositions of
Kleinian groups , Amer. J. Math. 99 (1977) 687 MR0480992
2
L V Ahlfors ,
Möbius transformations and Clifford numbers , from:
"Differential geometry and complex analysis" (editors I Chavel,
H M Farkas), Springer (1985) 65 MR780036
3
C S Aravinda ,
E Leuzinger , Bounded geodesics in rank-$1$ locally
symmetric spaces , Ergodic Theory Dynam. Systems 15 (1995)
813 MR1356615
4
H Aslaksen ,
Quaternionic
determinants , Math. Intelligencer 18 (1996) 57 MR1412993
5
A F Beardon ,
The geometry of discrete groups , Graduate Texts in Math.
91, Springer (1983) MR698777
6
A Borel , Linear
algebraic groups , from: "Algebraic Groups and Discontinuous
Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965)",
Amer. Math. Soc. (1966) 3 MR0204532
7
A Borel , Reduction
theory for arithmetic groups , from: "Algebraic Groups and
Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder,
Colo., 1965)", Amer. Math. Soc. (1966) 20 MR0204533
8
A Borel ,
Harish-Chandra , Arithmetic subgroups of
algebraic groups , Ann. of Math. $(2)$ 75 (1962) 485
MR0147566
9
M Bourdon , Sur le
birapport au bord des $\mathrm{CAT}(-1)$–espaces , Inst.
Hautes Études Sci. Publ. Math. 83 (1996) 95 MR1423021
10
B H Bowditch ,
Geometrical
finiteness with variable negative curvature , Duke Math.
J. 77 (1995) 229 MR1317633
11
M R Bridson , A
Haefliger , Metric spaces of non-positive curvature ,
Grund. der Math. Wissenschaften 319, Springer (1999) MR1744486
12
P Buser , H
Karcher , Gromov's almost flat manifolds , Astérisque
81, Société Mathématique de France (1981) 148 MR619537
13
S Buyalo , V
Schroeder , M Walz , Geodesics
avoiding open subsets in surfaces of negative
curvature , Ergodic Theory Dynam. Systems 20 (2000) 991
MR1779390
14
D A Cox ,
Primes of the form $x^2 + ny^2$, Fermat, class field theory
and complex multiplication , Wiley-Interscience, John Wiley
& Sons (1989) MR1028322
15
T W Cusick ,
M E Flahive , The Markoff and Lagrange
spectra , Math. Surveys and Monogr. 30, Amer. Math. Soc.
(1989) MR1010419
16
S G Dani ,
Bounded
orbits of flows on homogeneous spaces , Comment. Math.
Helv. 61 (1986) 636 MR870710
17
J Dieudonné ,
Les
déterminants sur un corps non commutatif , Bull. Soc.
Math. France 71 (1943) 27 MR0012273
18
J Elstrodt , F
Grunewald , J Mennicke , Groups acting on
hyperbolic space. Harmonic analysis and number theory ,
Springer Monogr. in Math., Springer (1998) MR1483315
19
J M Feustel ,
Über die Spitzen von Modulflächen zur zweidimensionalen
komplexen Einheitskugel , Preprint Series 13 Akad. Wiss.
DDR, ZIMM, Berlin 14 (1977)
20
L R Ford ,
Rational
approximations to irrational complex numbers , Trans.
Amer. Math. Soc. 19 (1918) 1 MR1501085
21
G A Freiman ,
Diophantine approximations and the geometry of numbers
(Markov's problem) , Kalinin. Gosudarstv. Univ., Kalinin
(1975) 144 MR0485714
22
É Ghys , P de la
Harpe , editors , Sur les groupes hyperboliques
d'après Mikhael Gromov , Progress in Math. 83, Birkhäuser
(1990) MR1086648
23
W M Goldman ,
Complex hyperbolic geometry , Oxford Math. Monogr.,
Oxford Univ. Press (1999) MR1695450
24
M Hall Jr. ,
On the sum and
product of continued fractions , Ann. of Math. $(2)$ 48
(1947) 966 MR0022568
25
M Hall Jr. , The
Markoff spectrum , Acta Arith. 18 (1971) 387 MR0296023
26
U Hamenstädt , A new
description of the Bowen–Margulis measure , Ergodic Theory
Dynam. Systems 9 (1989) 455 MR1016663
27
Y Hellegouarch ,
Quaternionic homographies: application to Ford
hyperspheres , C. R. Math. Rep. Acad. Sci. Canada 11 (1989)
171 MR1010923
28
S Hersonsky , F
Paulin , On the volumes of complex hyperbolic
manifolds , Duke Math. J. 84 (1996) 719 MR1408542
29
S Hersonsky , F
Paulin , On the rigidity of
discrete isometry groups of negatively curved spaces ,
Comment. Math. Helv. 72 (1997) 349 MR1476054
30
S Hersonsky , F
Paulin , Diophantine
approximation for negatively curved manifolds , Math. Z.
241 (2002) 181 MR1930990
31
S Hersonsky , F
Paulin , Diophantine approximation in negatively curved
manifolds and in the Heisenberg group , from: "Rigidity in
dynamics and geometry (Cambridge, 2000)" (editors M Burger, A
Iozzi), Springer (2002) 203 MR1919402
32
S Hersonsky , F
Paulin , Counting orbit
points in coverings of negatively curved manifolds and
Hausdorff dimension of cusp excursions , Ergodic Theory
Dynam. Systems 24 (2004) 803 MR2060999
33
S Hersonsky , F
Paulin , On the almost sure spiraling of geodesics in
negatively curved manifolds , to appear in J. Diff. Geom.
arXiv:0708.3389
34
R Hill , S L
Velani , The
Jarník–Besicovitch theorem for geometrically finite Kleinian
groups , Proc. London Math. Soc. $(3)$ 77 (1998) 524
MR1643409
35
R P Holzapfel ,
Arithmetische Kugelquotientenflächen I/II ,
Seminarberichte 14, Humboldt Univ. Sekt. Math. (1978) MR521083
36
R P Holzapfel ,
Ball and surface arithmetics , Aspects of Math., E29,
Friedr. Vieweg & Sohn (1998) MR1685419
37
S Kamiya , On discrete
subgroups of $\mathrm{PU}(1,2;\mathbf{C})$ with Heisenberg
translations , J. London Math. Soc. $(2)$ 62 (2000) 827
MR1794288
38
R Kellerhals ,
Quaternions and some global properties of hyperbolic
$5$–manifolds , Canad. J. Math. 55 (2003) 1080 MR2005283
39
D Y Kleinbock ,
G A Margulis , Logarithm laws for
flows on homogeneous spaces , Invent. Math. 138 (1999)
451 MR1719827
40
D Y Kleinbock ,
B Weiss , Bounded geodesics
in moduli space , Int. Math. Res. Not. 30 (2004) 1551
MR2049831
41
A Korányi , H M
Reimann , Quasiconformal mappings
on the Heisenberg group , Invent. Math. 80 (1985) 309
MR788413
42
C Maclachlan ,
A W Reid , The arithmetic of hyperbolic
$3$–manifolds , Graduate Texts in Math. 219, Springer (2003)
MR1937957
43
C Maclachlan ,
P L Waterman , N Wielenberg , Higher-dimensional
analogues of the modular and Picard groups , Trans.
Amer. Math. Soc. 312 (1989) 739 MR965301
44
K Matsuzaki , M
Taniguchi , Hyperbolic manifolds and Kleinian groups ,
Oxford Math. Monogr., Oxford Univ. Press (1998) MR1638795
45
J P Otal , Sur
la géometrie symplectique de l'espace des géodésiques d'une
variété à courbure négative , Rev. Mat. Iberoamericana 8
(1992) 441 MR1202417
46
J R Parker ,
Shimizu's lemma
for complex hyperbolic space , Internat. J. Math. 3
(1992) 291 MR1146815
47
J Parkkonen , F
Paulin , Unclouding the
sky of negatively curved manifolds , Geom. Funct. Anal.
15 (2005) 491 MR2153908
48
J Parkkonen , F
Paulin , Sur les rayons
de Hall en approximation diophantienne , C. R. Math.
Acad. Sci. Paris 344 (2007) 611 MR2334070
49
J Parkkonen , F
Paulin , Spiraling spectra of geodesic lines in
negatively curved manifolds , Preprint (2008) arXiv:0806.1857
50
J Parkkonen , F
Paulin , On strictly convex subsets in negatively curved
manifolds , in preparation
51
F Paulin , Un groupe
hyperbolique est déterminé par son bord , J. London Math.
Soc. $(2)$ 54 (1996) 50 MR1395067
52
G Poitou , Sur
l'approximation des nombres complexes par les nombres des corps
imaginaires quadratiques dénués d'idéaux non principaux,
particulièrement lorsque vaut l'algorithme d'Euclide ,
Ann. Sci. Ecole Norm. Sup. $(3)$ 70 (1953) 199 MR0066431
53
A L Schmidt ,
Farey simplices in the space of quaternions , Math.
Scand. 24 (1969) 31 MR0253993
54
A L Schmidt ,
On the approximation of quaternions , Math. Scand. 34
(1974) 184 MR0371823
55
T A Schmidt , M
Sheingorn , Riemann surfaces have Hall rays at each
cusp , Illinois J. Math. 41 (1997) 378 MR1458179
56
V Schroeder ,
Bounded
geodesics in manifolds of negative curvature , Math. Z.
235 (2000) 817 MR1801585
57
C Series , The modular surface
and continued fractions , J. London Math. Soc. $(2)$ 31
(1985) 69 MR810563
58
N J A
Sloane , editor , The
online encyclopedia of integer sequences
59
B Stratmann ,
The
Hausdorff dimension of bounded geodesics on geometrically
finite manifolds , Ergodic Theory Dynam. Systems 17
(1997) 227 MR1440778
60
D Sullivan ,
Disjoint
spheres, approximation by imaginary quadratic numbers, and the
logarithm law for geodesics , Acta Math. 149 (1982) 215
MR688349
61
M F Vignéras ,
Arithmétique des algèbres de quaternions , Lecture Notes
in Math. 800, Springer (1980) MR580949
62
R Walter , Some
analytical properties of geodesically convex sets , Abh.
Math. Sem. Univ. Hamburg 45 (1976) 263 MR0417984
63
T Zink , Über die Anzahl
der Spitzen einiger arithmetischer Untergruppen unitärer
Gruppen , Math. Nachr. 89 (1979) 315 MR546890