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854
SRB measures for partially hyperbolic systems whose central direction is mostly expanding
, 2000
"... We construct SinaiRuelleBowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms  the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting  under the assumption that the complementary subbundle is nonuniformly expanding. If the r ..."
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Cited by 197 (44 self)
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We construct SinaiRuelleBowen (SRB) measures supported on partially hyperbolic sets of diffeomorphisms  the tangent bundle splits into two invariant subbundles, one of which is uniformly contracting  under the assumption that the complementary subbundle is nonuniformly expanding
A Focus+Context Technique Based on Hyperbolic Geometry for Visualizing Large Hierarchies
 SIGCHI CONFERENCE ON HUMAN FACTORS IN COMPUTING SYSTEMS (CHI '95)
, 1995
"... We present a new focus+context (fisheye) technique for visualizing and manipulating large hierarchies. Our technique assigns more display space to a portion of the hierarchy while still embedding it in the context of the entire hierarchy. The essence of this scheme is to lay out the hierarchy in a ..."
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Cited by 411 (1 self)
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uniform way on a hyperbolic plane and map this plane onto a circular display region. This supports a smooth blending between focus and context, as well as continuous redirection of the focus. We have developed effective procedures for manipulating the focus using pointer clicks as well as interactive
Symbolic dynamics for hyperbolic flows
 Amer. J. Math
, 1973
"... Let/, {t e R) be a differentiable flow on a compact manifold M. A compact invariant set A containing no fixed points is called hyperbolic if the tangent bundle restricted to A can be written as the Whitney sum of three Zyjinvariant continuous subbundles TAM = E + Es + Eu, where Eis the onedimensi ..."
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Cited by 118 (0 self)
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Let/, {t e R) be a differentiable flow on a compact manifold M. A compact invariant set A containing no fixed points is called hyperbolic if the tangent bundle restricted to A can be written as the Whitney sum of three Zyjinvariant continuous subbundles TAM = E + Es + Eu, where Eis the one
Uniformly accurate schemes for hyperbolic systems with relaxations
 SIAM J. Numer. Anal
, 1997
"... Abstract. We develop highresolution shockcapturing numerical schemes for hyperbolic systems with relaxation. In such systems the relaxation time may vary from order1 to much less than unity. When the relaxation time is small, the relaxation term becomes very strong and highly stiff, and underreso ..."
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Cited by 75 (23 self)
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Abstract. We develop highresolution shockcapturing numerical schemes for hyperbolic systems with relaxation. In such systems the relaxation time may vary from order1 to much less than unity. When the relaxation time is small, the relaxation term becomes very strong and highly stiff
Classification of Kleinian groups
, 1974
"... We present here a complete classification of those Kleinian groups which have an invariant region of discontinuity and which, in their action on hyperbolic 3space, have a finitesided fundamental polyhedron. This classification is complete in the same sense that finitelygenerated Fuchsian groups o ..."
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Cited by 208 (5 self)
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We present here a complete classification of those Kleinian groups which have an invariant region of discontinuity and which, in their action on hyperbolic 3space, have a finitesided fundamental polyhedron. This classification is complete in the same sense that finitelygenerated Fuchsian groups
Uniformly hyperbolic surfaces
 Indiana Univ. Math. J
, 2000
"... We prove the equivalence of certain uniform hyperbolicity conditions for open simply connected surfaces with nonpositively curved intrinsic metric. ..."
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Cited by 11 (3 self)
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We prove the equivalence of certain uniform hyperbolicity conditions for open simply connected surfaces with nonpositively curved intrinsic metric.
Uniform hyperbolicity of the graphs of curves
, 2012
"... Abstract. Let C(Sg,p) denote the curve complex of the closed orientable surface of genus g with p punctures. MasurMinksy and subsequently Bowditch showed that C(Sg,p) is δhyperbolic for some δ = δ(g, p). In this paper, we show that there exists some δ> 0 independent of g, p such that the curv ..."
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Cited by 9 (2 self)
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such that the curve graph C1(Sg,p) is δhyperbolic. Furthermore, we use the main tool in the proof of this theorem to show uniform boundedness of two other quantities which a priori grow with g and p: the curve complex distance between two vertex cycles of the same train track, and the Lipschitz constants of the map
Uniform hyperbolicity of the curve graphs
, 2012
"... Abstract. We show that there is a universal constant, k, such that the curve graph associated to any compact orientable surface is khyperbolic. Independent proofs of this have been given by Aougab, by Hensel, Przytycki and Webb, and by Clay, Rafi and Schleimer. 1. ..."
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Cited by 8 (0 self)
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Abstract. We show that there is a universal constant, k, such that the curve graph associated to any compact orientable surface is khyperbolic. Independent proofs of this have been given by Aougab, by Hensel, Przytycki and Webb, and by Clay, Rafi and Schleimer. 1.
On the uniform hyperbolicity of some nonuniformly hyperbolic systems
 2003, p1303–1309. YONGLUO CAO, STEFANO LUZZATTO, AND ISABEL RIOS
"... Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability are necessarily uniformly expanding. We also present a version of ..."
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Cited by 19 (3 self)
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Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperbolic dynamical systems. In particular, we show that local diffeomorphisms that are nonuniformly expanding on sets of total probability are necessarily uniformly expanding. We also present a version
Uniform embeddability of relatively hyperbolic groups
, 2005
"... Abstract. Let Γ be a finitely generated group which is hyperbolic relative to a finite family {H1,...,Hn} of subgroups. We prove that Γ is uniformly embeddable in a Hilbert space if and only if each subgroup Hi is uniformly embeddable in a Hilbert space. 1. ..."
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Cited by 22 (2 self)
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Abstract. Let Γ be a finitely generated group which is hyperbolic relative to a finite family {H1,...,Hn} of subgroups. We prove that Γ is uniformly embeddable in a Hilbert space if and only if each subgroup Hi is uniformly embeddable in a Hilbert space. 1.
Results 1  10
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854