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We consider the decision problem between a finite numberof states of a finite quantum system, when an arbitrarily large number of copies of the system is available for measurements. We provide an uppe...
We construct a set of conserved charges for asymptotically de Sitter spacetimes that correspond to asymptotic conformal isometries. The charges are given by boundary integrals at spatial infinity in t...
If C is a binary linear code, let C^2 be the linear code spanned by intersections of pairs of codewords of C. We construct an asymptotically good family of binary linear codes such that, for C ranging...
In this paper, existence of S-asymptotically ω-periodic mild solutions for abstract integro-differential equationwith fractional order is considered. The main results are obtained bythe contraction ma...
This paper deals with the existence of S-asymptotically ω-periodic solutions to a class of fractional partial differentialequations. A series of analytical results about S-asymptotically ω-periodic so...
We study asymptotically safe gravity with Einstein-Hilbert truncation taking into account the renormalization group running of both gravitational and cosmological constants. We show the classical beha...
Abstract: We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the ...
Abstract: We develop a quantization scheme for the vector potential on globally hyperbolic spacetimes which realizes it as a locally covariant conformal quantum field theory. This result allows us to ...
We construct solutions of the constraint equation with non constant mean curvature on an asymptotically hyperbolic manifold by the conformal method. Our approach consists in decreasing a certain expo...
In this paper I study the constant mean curvature surface in asymp-totically flat 3-manifolds with general asymptotics. Under some weak condition, I prove that outside some compact set in the asymptot...
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure dE() of the square root of the Laplacian on Rn is bounded from Lp(Rn) to Lp′ (Rn) for 1  p  2...
There has been significant interest in the last several years in studying possible gravitational duals, known as Lifshitz spacetimes, to anisotropically scaling field theories by adding matter to dis...
In this paper we develop a general, systematic, microlocal framework for the Fredholm analysis of non-elliptic problems, including high energy (or semiclassical) estimates, which is stable under pertu...
Using holography, we study the collision of planar shock waves in strongly coupled N=4 supersymmetric Yang-Mills theory. This requires the numerical solution of a dual gravitational initial value prob...
We consider N=4 SU(2)xU(1) gauged supergravity on asymptotically-AdS_5 backgrounds. By a near-boundary analysis we determine the boundary-dominant components of the bulk fields from their partially g...

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