Found 62 Documents (Results 1–62)
Generalization of Selberg’s 3/16 theorem for convex cocompact thin subgroups of \(\mathrm{SO}(n, 1)\). (Généralisation du théorème 3/16 de Selberg pour sous-groupes épars convexes cocompactes de \(\mathrm{SO}(n, 1)\).) (English. French summary) Zbl 1518.22023
On Ruelle’s property. (English) Zbl 1486.30118
Reviewer: Dmitri V. Prokhorov (Saratov)
Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space. (English) Zbl 1528.20072
Mostow strong rigidity of locally symmetric spaces revisited. (English) Zbl 1446.30065
Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume VII. Berlin: European Mathematical Society (EMS). IRMA Lect. Math. Theor. Phys. 30, 125-164 (2020).
All finitely generated Kleinian groups of small Hausdorff dimension are classical Schottky groups. (English) Zbl 1455.30036
Reviewer: James Hebda (St. Louis)
Global rigidity of conjugations for locally non-discrete subgroups of \({\mathrm{Diff}}^{\omega} (S^1)\). (English) Zbl 1419.37022
On interpreting Patterson-Sullivan measures of geometrically finite groups as Hausdorff and packing measures. (English) Zbl 1455.37034
Measurable rigidity for Kleinian groups. (English) Zbl 1379.37090
Reviewer: Tao Chen (Long Island City)
Effective equidistribution of twisted horocycle flows and horocycle maps. (English) Zbl 1369.37004
Reviewer: Jayadev Athreya (Seattle)
Amenable equivalence relations and the construction of ergodic averages for group actions. (English) Zbl 1358.37015
A Fréchet law and an Erdős-Philipp law for maximal cuspidal windings. (English) Zbl 1326.37034
Reviewer: Patrick Eberlein (Chapel Hill)
Hausdorff dimension of quasi-cirles of polygonal mappings and its applications. (English) Zbl 1269.30028
Ergodic properties of boundary actions and the Nielsen-Schreier theory. (English) Zbl 1278.37034
Reviewer: Michael L. Blank (Moskva)
The upper entropy index of a set and the Hausdorff dimension of its hyperspace. (English) Zbl 1250.28003
Reviewer: Zu-Guo Yu (Xiangtan)
The ratio set of the harmonic measure of a random walk on a hyperbolic group. (English) Zbl 1166.37012
Reviewer: Bernd O. Stratmann (St. Andrews)
A Bowen type rigidity theorem for non-cocompact hyperbolic groups. (English) Zbl 1148.53032
Reviewer: Cezar Dumitru Oniciuc (Iaşi)
Measurable rigidity of actions on infinite measure homogeneous spaces. II. (English) Zbl 1210.37002
Reviewer: Geoffrey R. Goodson (Towson)
Invariant measures for the horocycle flow on periodic hyperbolic surfaces. (English) Zbl 1137.37016
Reviewer: Michael L. Blank (Moskva)
Constructing restricted Patterson measures for geometrically infinite Kleinian groups. (English) Zbl 1104.30030
Reviewer: Xiantao Wang (Changsha)
On the Patterson-Sullivan measure of some discrete group of isometries. (English) Zbl 1017.37022
Reviewer: Herbert Abels (Bielefeld)
On the spectral gap for infinite index “congruence” subgroups of \(SL_2(\mathbb{Z})\). (English) Zbl 1009.22018
Reviewer: Ranjeet Sehmi (Chandigarh)
MSC:
22E50
Quasiconformal Lipschitz maps, Sullivan’s convex hull theorem and Brennan’s conjecture. (English) Zbl 1034.30013
Reviewer: Eleonora Storozhenko (Odessa)
On the spectral gap for infinite index “congruence” subgroups of SL\(_2(\mathbb{Z})\). (English) Zbl 1028.11031
Reviewer: Jürgen Elstrodt (Münster)
Quasiconformal stability of Kleinian groups and an embedding of a space of flat conformal structures. (English) Zbl 0959.58027
MSC:
58H15
53A30
Spherical functions and conformal densities on spherically symmetric \(\text{CAT}(-1)\)-spaces. (English) Zbl 0977.53028
Wiggly sets and limit sets. (English) Zbl 0939.30031
MSC:
30F40
Hausdorff dimension and Kleinian groups. (English) Zbl 0921.30032
Reviewer: J.Elstrodt (Münster)
The ergodic theory of discrete isometry groups on manifolds of variable negative curvature. (English) Zbl 0864.58047
On the cross-ratio at the boundary of \(CAT(-1)\)-spaces. (Sur le birapport au bord des \(CAT(-1)\)-espaces.) (French) Zbl 0883.53047
Reviewer: W.Ballmann (Bonn)
MSC:
53C35
Limit sets of Kleinian groups and conformally flat Riemannian manifolds. (English) Zbl 0854.53035
Reviewer: B.N.Apanasov (Norman)
A gallery of iterated correspondences. (English) Zbl 0866.30020
Reviewer: A.V.Chernecky (Odessa)
Holomorphic families of quasi-Fuchsian groups. (English) Zbl 0801.30035
Reviewer: S.Nag (Madras)
Kleinian groups with small limit sets. (English) Zbl 0798.30030
Reviewer: S.J.Patterson (Göttingen)
MSC:
30F40
Differentiable rigidity of Fuchsian groups. (Rigidité différentiable des groupes fuchsiens.) (French) Zbl 0812.58066
Reviewer: P.Eberlein (Chapel Hill)
Deformations of Anosov flows and of Fuchsian groups. (Déformations de flots d’Anosov et de groupes fuchsiens.) (French) Zbl 0759.58036
Reviewer: E.Ghys (Lyon)
Some applications of thermodynamic formalism to manifolds with constant negative curvature. (English) Zbl 0726.58047
Reviewer: M.Puta (Timişoara)
On the Perron-Frobenius-Ruelle operator for rational maps on the Riemann sphere and for Hölder continuous functions. (English) Zbl 0723.58030
Reviewer: Th.M.Rassias (Athens)
A note on Bochner type theorems for complete manifolds. (English) Zbl 0717.53024
Reviewer: G.Arca
Bending and stamping deformations of hyperbolic manifolds. (English) Zbl 0705.53013
Reviewer: E.Molnár
On the calculation of quantum mechanical ground states from classical geodesic motion on certain spaces of constant negative curvature. (English) Zbl 0702.58079
Reviewer: F.C.Klepp
A rigidity theorem for Möbius groups. (English) Zbl 0674.30038
Reviewer: P.Tukia
On the bass note of a Schottky group. (English) Zbl 0649.30036
Reviewer: S.J.Patterson
On a lattice-point problem in hyperbolic space and related questions in spectral theory. (English) Zbl 0645.10040
Reviewer: Jürgen Elstrodt (Münster)
Measurable dynamics of the exponential map. (English. Russian original) Zbl 0667.58037
Sib. Math. J. 28, No. 5, 780-792 (1987); translation from Sib. Mat. Zh. 28, No. 5(165), 111-127 (1987).
Reviewer: D.Repovš
MSC:
37A99
Deformation spaces associated to compact hyperbolic manifolds. (English) Zbl 0613.53032
Reviewer: N.Ivanov
The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. (English) Zbl 0611.30037
Reviewer: J.Elstrodt
Actions localement libres du groupe affine. (French) Zbl 0577.57010
Reviewer: P.Walczak
Limit sets of geometrically finite free Kleinian groups. (English) Zbl 0537.30035
Reviewer: S.J.Patterson
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