Strong and uniform convergence in the teleportation simulation of bosonic Gaussian channels [PDF]
19 pages, 3 ...
Wilde, Mark M.
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Strong Whitney and strong uniform convergences on a bornology
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Tarun Kumar Chauhan, Varun Jindal
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Strong convergence of infinite color balanced urns under uniform ergodicity [PDF]
AbstractWe consider the generalization of the Pólya urn scheme with possibly infinitely many colors, as introduced in [37], [4], [5], and [6]. For countably many colors, we prove almost sure convergence of the urn configuration under theuniform ergodicityassumption on the associated Markov chain.
Bandyopadhyay, Antar +2 more
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Noncommutative strong maximals and almost uniform convergence in several directions [PDF]
AbstractOur first result is a noncommutative form of the Jessen-Marcinkiewicz-Zygmund theorem for the maximal limit of multiparametric martingales or ergodic means. It implies bilateral almost uniform convergence (a noncommutative analogue of almost everywhere convergence) with initial data in the expected Orlicz spaces.
José M. Conde-Alonso +2 more
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Teleportation simulation of bosonic Gaussian channels: strong and uniform convergence [PDF]
Accepted version. Establishes a general criterion for the uniform convergence of teleportation simulation for an arbitrary Gaussian channel. Clarifying the use of the Braunstein-Kimble teleportation protocol, it also provides complete proofs for the claims presented in WTB arXiv:1602.08898, beyond the first rigorous proof already given in arXiv:1711 ...
Pirandola, Stefano +2 more
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On the Convergence of Finite Element Methods for Hamilton-Jacobi-Bellman Equations [PDF]
In this note we study the convergence of monotone P1 finite element methods on unstructured meshes for fully non-linear Hamilton-Jacobi-Bellman equations arising from stochastic optimal control problems with possibly degenerate, isotropic diffusions ...
Jensen, Max, Smears, Iain
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P-Uniform Convergence and a Vector-Valued Strong Law of Large Numbers [PDF]
As an application, we derive a result (Theorem 111.13) of the form of the first proposition above which is valid for all normed linear spaces and in which R restricts only the variances of the random variables. This theorem is best possible in the sense indicated there. Theorem 111.5 depends on the fact that in certain families of independent sequences
Beck, Anatole, Giesy, Daniel P.
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Arzelà's Theorem and strong uniform convergence on bornologies
The main result of this nice paper (Theorem 2.9) gives a direct proof that three kinds of convergence (Arzelà's convergence on compacta, Alexandroff's convergence and strong uniform convergence on finite sets, introduced recently by \textit{G. Beer} and \textit{S. Levi} [J. Math. Anal. Appl.
Caserta, Agata +2 more
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Almost uniform and strong convergences in ergodic theorems for symmetric spaces [PDF]
Let $( , )$ be a $ $-finite measure space, and let $X\subset L^1( )+L^\infty( )$ be a fully symmetric space of measurable functions on $( , )$. If $ ( )=\infty$, necessary and sufficient conditions are given for almost uniform convergence in $X$ (in Egorov's sense) of Ces ro averages $M_n(T)(f)=\frac1n\sum_{k = 0}^{n-1}T^k(f)$ for all Dunford-
Chilin, Vladimir, Litvinov, Semyon
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Uniform spectral gap and orthogeodesic counting for strong convergence of Kleinian groups
Abstract We show convergence of small eigenvalues for geometrically finite hyperbolic n-manifolds under strong limits. For a class of convergent convex sets in a strongly convergent sequence of Kleinian groups, we use the spectral gap of the limit manifold and the exponentially mixing property of the geodesic flow along the strongly convergent ...
Beibei Liu, Franco Vargas Pallete
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