hyperbolic manifolds
A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations
... the hyperbolic manifolds support- ing diffusion in the a priori unstable dynamical ...unstable manifolds introduced in Guzzo et ...unstable manifolds have a topological transition when the ...
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Local inverse scattering at fixed energy in spherically symmetric asymptotically hyperbolic manifolds
... curved manifolds whose unknown - the object we wish to determine by observing waves at infinity - is the (Riemanniann or Lorentzian) metric ...Riemanniann manifolds that we name Spherically Symmetric ...
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A numerical study of the topology of hyperbolic manifolds supporting Arnold diffusion in a priori unstable systems.
... unstable manifolds of invariant hyperbolic ...an hyperbolic invariant manifold within the time T , because the growth of tangent vectors is bigger near the hyperbolic ...the hyperbolic ...
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Electromagnetic field in 3 dimensionnal compact hyperbolic manifolds
... Introduction An attempt to compute numerically the first Laplacian eigenvalues of a scalar field in 3-dimensional constant curvature compact hyperbolic manifolds without border, has been presented in [1]. ...
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Wave decay on convex co-compact hyperbolic manifolds
... of hyperbolic trapping for which we have an explicit asymptotic for the waves, in terms of geometric ...asymptotically hyperbolic manifolds, this will be studied in a subsequent ...
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Real analyticity of radiation patterns of resonant states on asymptotically hyperbolic manifolds
... ASYMPTOTICALLY HYPERBOLIC MANIFOLDS CLAUDE ZUILY (*) ...asymptotically hyperbolic man- ifolds that are analytic near conformal infinity, have analytic radiation patterns at ...asymptotically ...
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Rigidity and $L^2$ cohomology of hyperbolic manifolds
... cocompact hyperbolic manifolds with non trivial cohomology with compact support in some degree p < n/2 have a critical exponent strictly larger than n − 1 − ...
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On the differential form spectrum of hyperbolic manifolds
... real hyperbolic manifolds, the vanishing results we can derive from Theorem ...of hyperbolic manifolds, but we postpone its statement until next section (see Theorem ...
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Computing asymptotic invariants with the Ricci tensor on asymptotically flat and hyperbolic manifolds
... Introduction Mass is the most fundamental invariant of asymptotically flat manifolds. Originally defined in General Relativity, it has since played an important role in Riemannian geo- metric issues. Other ...
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On the scarring of eigenstates in some arithmetic hyperbolic manifolds
... In [10], Rudnick and Sarnak showed that there is no strong scarring on closed geodesics for compact arithmetic congruence surfaces derived from a quaternion division algebra (see Introdu[r] ...
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A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds
... Theorem 1.1 (Roblin [Rob03]). Let M = Γ\H n be a hyperbolic manifold. Assume that Γ is Zariski dense and that the geodesic flow on T 1 M admits a probability measure maximizing entropy. Then there is a unique (up ...
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A mass for asymptotically complex hyperbolic manifolds
... g and not on the chart but [Bart] proved it. We refer to [SY1, SY2, Wit, Bart, LP] for details and “classical” proofs and to [Loh] for a more recent and more general treatment. The mathematical interest of such a theorem ...
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SPECTRAL THEORY OF THE FRAME FLOW ON HYPERBOLIC 3-MANIFOLDS (with an appendix by Charles Hadfield)
... ing hyperbolic dynamics via transfer operators acting on appropriate anisotropic Sobolev spaces on which the transfer operators (for diffeomorphisms) or their generators (for flows) have discrete spectrum, see [ ...
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Dehn fillings of large hyperbolic 3-manifolds
... Thurston’s hyperbolic Dehn surgery theorem implies that all but finitely many fillings of M are hyperbolic manifolds [Th1], and there has been a great deal of interest in describing the possible ...
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Inverse scattering at fixed energy on three-dimensional asymptotically hyperbolic Stäckel manifolds
... asymptotically hyperbolic manifolds are closely related to the anisotropic Calder´ on problem on compact riemannian manifolds with ...of manifolds on which we can solve the inverse scattering ...
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Cosmetic surgeries on 3-manifolds
... In Algebraic and geometric topology ( Fro c. Pl ane c urv es associated to characte r varieties of 3-manifolds.. Boundary s lop es of punctured tori in 3-man ifold s. A r[r] ...
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Delaunay triangulation of manifolds
... 1 Introduction We present an algorithm for triangulating a manifold that may be presented abstractly in terms of a coordinate atlas. In particular, there is no requirement that the manifold be an embed- ded submanifold ...
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Delaunay Triangulation of Manifolds
... a perturbed point set P 0 that is δ-generic. The algorithm we present here adapts this Euclidean perturbation algorithm to the context of compact manifolds equipped with a metric that can be locally approximated ...
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Renormalization of crumpled manifolds
... (finite) manifolds, and the short-distance factorization of the generalized Feynman ...self-avoiding manifolds, as well as to other generalizations of field ...
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On Bayesian Estimation in Manifolds
... In practice, the following considerations push us strongly in one direction: the introduction of a metric on the manifold Γ, and the use of a derived m-form as the underlying measure. The first consideration is ...
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