Geometry & Topology Volume 9, issue 4 (2005)

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On the dynamics of isometries

Anders Karlsson

Geometry & Topology 9 (2005) 2359–2394

DOI: 10.2140/gt.2005.9.2359

Bibliography

1	M Abate, Iteration theory on weakly convex domains, from: "Seminars in Complex Analysis and Geometry, 1988 (Arcavacata, 1988)", Sem. Conf. 4, EditEl (1990) 1 MR1222246
2	M Abate, Iteration theory of holomorphic maps on taut manifolds, Research and Lecture Notes in Mathematics. Complex Analysis and Geometry, Mediterranean Press (1989) MR1098711
3	R C Alperin, B Farb, G A Noskov, A strong Schottky lemma for nonpositively curved singular spaces, Geom. Dedicata 92 (2002) 235 MR1934020
4	W Ballmann, Lectures on spaces of nonpositive curvature, DMV Seminar 25, Birkhäuser Verlag (1995) MR1377265
5	W Ballmann, M Brin, Orbihedra of nonpositive curvature, Inst. Hautes Études Sci. Publ. Math. (1995) MR1383216
6	W Ballmann, M Gromov, V Schroeder, Manifolds of nonpositive curvature, Progress in Mathematics 61, Birkhäuser (1985) MR823981
7	Y Benoist, Convexes divisibles, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001) 387 MR1826621
8	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften, Springer (1999) MR1744486
9	A Całka, On conditions under which isometries have bounded orbits, Colloq. Math. 48 (1984) 219 MR758530
10	K Diederich, J E Fornæss, Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary, Ann. of Math. $(2)$ 110 (1979) 575 MR554386
11	B Farb, L Mosher, Quasi-isometric rigidity for the solvable Baumslag–Solitar groups II, Invent. Math. 137 (1999) 613 MR1709862
12	F Forstnerič, J P Rosay, Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings, Math. Ann. 279 (1987) 239 MR919504
13	H Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math. $(2)$ 77 (1963) 335 MR0146298
14	M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
15	M Gromov, Metric structures for Riemannian and non–Riemannian spaces, Progress in Mathematics 152, Birkhäuser (1999) MR1699320
16	P de la Harpe, On Hilbert's metric for simplices, from: "Geometric group theory, Vol. 1 (Sussex, 1991)", London Math. Soc. Lecture Note Ser. 181, Cambridge Univ. Press (1993) 97 MR1238518
17	P de la Harpe, Topics in geometric group theory, Chicago Lectures in Mathematics, University of Chicago Press (2000) MR1786869
18	N V Ivanov, Subgroups of Teichmüller modular groups, Translations of Mathematical Monographs 115, American Mathematical Society (1992) MR1195787
19	N V Ivanov, Mapping class groups, from: "Handbook of geometric topology", North-Holland (2002) 523 MR1886678
20	M Jarnicki, P Pflug, Invariant distances and metrics in complex analysis, de Gruyter Expositions in Mathematics 9, Walter de Gruyter & Co. (1993) MR1242120
21	V A Kaimanovich, The Poisson formula for groups with hyperbolic properties, Ann. of Math. $(2)$ 152 (2000) 659 MR1815698
22	V A Kaimanovich, H Masur, The Poisson boundary of the mapping class group, Invent. Math. 125 (1996) 221 MR1395719
23	A Karlsson, Non-expanding maps and Busemann functions, Ergodic Theory Dynam. Systems 21 (2001) 1447 MR1855841
24	A Karlsson, G A Margulis, A multiplicative ergodic theorem and nonpositively curved spaces, Comm. Math. Phys. 208 (1999) 107 MR1729880
25	A Karlsson, G A Noskov, The Hilbert metric and Gromov hyperbolicity, Enseign. Math. $(2)$ 48 (2002) 73 MR1923418
26	A Karlsson, G A Noskov, Some groups having only elementary actions on metric spaces with hyperbolic boundaries, Geom. Dedicata 104 (2004) 119 MR2043957
27	S Kobayashi, Hyperbolic complex spaces, Grundlehren der Mathematischen Wissenschaften, Springer (1998) MR1635983
28	H Masur, Two boundaries of Teichmüller space, Duke Math. J. 49 (1982) 183 MR650376
29	J McCarthy, A Papadopoulos, Dynamics on Thurston's sphere of projective measured foliations, Comment. Math. Helv. 64 (1989) 133 MR982564
30	C T McMullen, Coxeter groups, Salem numbers and the Hilbert metric, Publ. Math. Inst. Hautes Études Sci. (2002) 151 MR1953192
31	R D Nussbaum, Hilbert's projective metric and iterated nonlinear maps, Mem. Amer. Math. Soc. 75 (1988) MR961211
32	J G Ratcliffe, Foundations of hyperbolic manifolds, Graduate Texts in Mathematics 149, Springer (1994) MR1299730
33	K E Ruane, Dynamics of the action of a $\mathrm{CAT}(0)$ group on the boundary, Geom. Dedicata 84 (2001) 81 MR1825346
34	E L Swenson, A cut point theorem for $\mathrm{CAT}(0)$ groups, J. Differential Geom. 53 (1999) 327 MR1802725
35	J Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics 386, Springer (1974) MR0470099
36	W Zhang, F Ren, Dynamics on weakly pseudoconvex domains, Chinese Ann. Math. Ser. B 16 (1995) 467 MR1380584