@phdthesis{BJHTUP11_2006__0711__P0_0,
author = {Lim, Seonhee},
title = {Comptage de r\'eseaux et rigidit\'e entropique pour les actions de groupes sur les arbres et les immeubles},
series = {Th\`eses d'Orsay},
publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
number = {711},
year = {2006},
language = {fr},
url = {https://www.numdam.org/item/BJHTUP11_2006__0711__P0_0/}
}
TY - BOOK AU - Lim, Seonhee TI - Comptage de réseaux et rigidité entropique pour les actions de groupes sur les arbres et les immeubles T3 - Thèses d'Orsay PY - 2006 IS - 711 PB - Université de Paris-Sud Centre d'Orsay UR - https://www.numdam.org/item/BJHTUP11_2006__0711__P0_0/ LA - fr ID - BJHTUP11_2006__0711__P0_0 ER -
Lim, Seonhee. Comptage de réseaux et rigidité entropique pour les actions de groupes sur les arbres et les immeubles. Thèses d'Orsay, no. 711 (2006), 118 p. https://www.numdam.org/item/BJHTUP11_2006__0711__P0_0/
[Ab] , On the entropy of a flow, Dokl. Akad. Nauk SSSR 28, (1959) 873-875. | MR
[Ba] , Covering theory for graphs of groups, J. Pure Appl. Alg. 89, (1993) 66-67. | MR | Zbl | DOI
[BCG] , , , Entropies et rigidités des espaces localement symétriques de courbure strictement négative, Geom. Funct. Anal. 5 (1995), 731-799. | MR | Zbl | DOI
[BH] , , Metric Spaces of Non-positive curvature, Grundlehren der Mathematischen Wissenschaften, 319, Springer-Verlag, 1999. | MR | Zbl
[BK] , , Uniform tree lattices, J. Amer. Math. Soc., 3, (1990) 843-902. | MR | Zbl | DOI
[BL] , , Tree lattices, Progress in Math., 176, Birkhauser, Boston (2001). | MR | Zbl
[BM] , , CAT(-1 )-spaces, divergence groups and their commensurators, J. Amer. Math. Soc. 9 (1996), 57-93. | MR | Zbl | DOI
[Bo] , Structure conforme au bord et flot géodésique d'un CAT(-1 )-espace, Enseign. Math. (2) 41 (1995), 63-102. | MR | Zbl
[Bo2] , Immeubles hyperboliques, dimension conforme et rigidite de Mostow, Geom. Funct. Anal. 7 (1997), 245-268 | MR | Zbl | DOI
[BP] , , Values of isotropic quadratic forms at -integral points, Compositio Math. 83 (1992), 347-372. | MR | Zbl | Numdam
[BT] , , Groupes réductifs sur un corps local, Publ. Math. Inst. Hautes Études Sci. 41 (1972), 5-251. | MR | Zbl | DOI | Numdam
[C] , Mesures de Patterson-Sullivan sur le bord d'un espace hyperbolique au sens de Gromov, Pacific J. Math. 159 (1993), 241-270. | MR | Zbl | DOI
[Co] , Complexes of groups, Proc. London Math. Soc. (3) 65 (1992), 199-224. | MR | Zbl | DOI
[CR] , , Infinite towers of tree lattices, Math. Res. Lett. 8 no. 4, (2001) 469-477. | MR | Zbl | DOI
[CF] , , Minimal entropy rigidity for lattices in products of rank one symmetric spaces. Comm. Anal. Geom. 11 (2003), 1001-1026. | MR | Zbl | DOI
[CP] , , Symbolic coding for the geodesic flow associated to a word hyperbolic group, Manuscripta Math., 109, (2002) 465-492. | MR | Zbl
[Gan] , The theory of matrices. Vol. 1., Chelsea Publishing Co., New York (1959). | Zbl | MR
[G] , Automorphisms of trivalent graphs, Ann. of Math (2) 111 (1980) 377-406. | MR | Zbl | DOI
[GP] , , Sur les immeubles hyperboliques, Geom. Dedicata 88 (2001), 153-197. | MR | Zbl | DOI
[Go] , Automorphisms of trivalent graphs, Ann. of Math (2) 111 (1980), 377-406. | MR | Zbl | DOI
[Gr] , Volume and bounded cohomology, Publ. Math. Inst. Hautes Études Sci. 56 (1981), 213-307. | MR | Zbl | Numdam
[GS] , Non-positively curved triangles of groups, Group Theory from a Geometrical Viewpoint (E. Ghys, A. Haefliger, A. Verjovsky, ed), Proc. ICTP Trieste 1990, World Sci. Publishing, River Edge, NJ, 1991. | MR | Zbl
[Gui] , Entropie et spectres, Osaka J. Math. 31 (1994), 247-289. | MR | Zbl
[Gur] , On the number of generators of a finite group, Archiv der Math. 53, (1989) 521-523. | MR | Zbl
[H1] , Groupoids and foliations, Groupoids in analysis, geometry, and physics (Boulder, CO, 1999), 83-100, Contemp. Math., 282, Amer. Math. Soc., Providence, RI, 2001. | MR | Zbl
[H2] , Complexes of groups and orbihedra, Group theory from a geometrical viewpoint (Trieste, 1990), 504-540, World Sci. Pub., Edited by E. Ghys, A. Haefliger and A. Verjovsky, 1991. | MR | Zbl
[HH] , , Groups of automorphisms of trees and their limit sets, Ergod. Th. Dyn. Sys. 17 (1997), 869-884. | MR | Zbl
[HK] , , Introduction to the modern theory of dynamical systems. With a supplementary chapter by Katok and Leonardo Mendoza. Encyclopedia of Mathematics and its Applications, 54. Cambridge University Press, Cambridge, 1995. | MR | Zbl
[HP] , , Constructions arborescentes d'immeubles, Math. Ann. 325 (2003) 137-164. | MR | Zbl
[Ka] , Entropy and closed geodesics, Ergod. Th. Dyn. Sys. 2 (1982), 339-365. | MR | Zbl
[KM] , , A Proof of Selberg's hypothesis, Math. Sbornik (N.S.) 75 (117) (1968), 162-128. | MR
[KN] , , The Patterson-Sullivan embedding and minimal volume entropy for outer space, preprint (http://arxiv.org/abs/math.GR/0504445), 2005. | MR | Zbl
[L1] , Counting overlattices in automorphism groups of trees, to appear in Geom. Dedicata (http://www.arxiv.org/abs/math.GR/0506217). | MR | Zbl
[L2] , Minimal volume entropy for graphs, to appear in Trans. Amer. Math. Soc. (http://www.arxiv.org/abs/math.GR/0506216). | MR | Zbl
[LT] , , Counting overlattices in automorphism groups of buildings, in preparation.
[LS] , , Subgroup growth. Progress in Math., 212, Birkhauser Verlag, 2003. | MR | Zbl
[Lub] , Subgroup growth, Proc. of the International Congress of Math., Vol. 1 (Zurich, 1994), 309-317, Birkhauser, Basel, (1995) | MR | Zbl | DOI
[Luc] , A bound on the number of generators of a finite group, Archiv der Math. 53, (1989) 313-317. | MR | Zbl
[Ly] , Equivalence of boundary measures on covering trees of finite graphs, Ergodic Theory Dynam Systems 14 (1994), 575-597. | MR | Zbl | DOI
[Man] , Topological entropy for geodesic flows, Ann. of Math. 110 (1979), 567-573. | MR | Zbl | DOI
[Mar] , Discrete subgroups of semisimple Lie groups, Springer-Verlag (1989). | MR | Zbl
[P] , Enumerating finite groups of given order, Annals of Math. 137, (1993), 203-220. | MR | Zbl | DOI
[PV] and , On right-angled reflection groups in hyperbolic spaces, Comment. Math. Helv. 80 (2005), 63-73. | MR | Zbl | DOI
[Ra] , Discrete subgroups of Lie groups, Springer-Verlag (1972). | MR | Zbl | DOI
[Riv] , Growth in free groups (and other stories), preprint (http://arxiv.org/abs/math.CO/9911076). | Zbl
[Rob] , Entropie et graphes, Prépublication 182, ENS Lyon, 1996.
[Robl] , Sur la fonction orbitale des groupes discrets en courbure négative, Ann. Inst. Fourier (Grenoble) 52 (2002), 145-151. | MR | Zbl | DOI | Numdam
[S] , Geometrical methods of symbolic coding, Ergodic theory, symbolic dynamics, and hyperbolic spaces (Trieste, 1989), 125-151, Oxford Univ. Press, New York, 1991. | MR | Zbl
[Se] , Trees, Springer-Verlag, Berlin, 2000. | Zbl | MR
[Si] , Enumerating p-groups, Proc. London Math. Soc. (3), 15, (1965) 151-166. | MR | Zbl | DOI
[Su] , Group Theory II, Grundlehren der Mathematischen Wissenschaften, 248, Springer-Verlag, 1986. | MR | Zbl
[Th] , Uniform lattices acting on some hyperbolic buildings, preprint (http:///www.arxiv.org/math.GR/abs/0508385).
[T2] , Covolumes of uniform lattices acting on polyhedral complexes, preprint, 2005. | MR | Zbl
[T3] , Lattices acting on right-angled hyperbolic buildings, in preparation. | Zbl
[VS] and , Discrete groups of motions of spaces of constant curvature, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 29 (1988), 147-259 ; English transl. : in Geometry II : Spaces of Constant Curvature, Encyclopaedia of Math. Sci. 29, Springer-Verlag, Berlin 1993, 139-248 | MR | Zbl





