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17 papers · 1 filter
Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class
B. Beckermann, A. Martinez-Finkelshtein, E. A. Rakhmanov +1
We give an asymptotic upper bound as for the entropy integral where is the th degree orthonormal polynomial w…
Exponential speed-up with a single bit of quantum information: Testing the quantum butterfly effect
David Poulin, Robin Blume-Kohout, Raymond Laflamme +1
We present an efficient quantum algorithm to measure the average fidelity decay of a quantum map under perturbation using a single bit of quantum information. Our algorithm scales…
Reachability problems for products of matrices in semirings
Stephane Gaubert, Ricardo Katz
We consider the following matrix reachability problem: given square matrices with entries in a semiring, is there a product of these matrices which attains a prescribed matrix?…
Effective Scalar Products for D-finite Symmetric Functions
Frédéric Chyzak, Marni Mishna, Bruno Salvy
Many combinatorial generating functions can be expressed as combinations of symmetric functions, or extracted as sub-series and specializations from such combinations. Gessel has o…
Non-integrability of the generalised spring-pendulum problem
Andrzej J. Maciejewski, Maria Przybylska, Jacques-Arthur Weil
We investigate a generalisation of the three dimensional spring-pendulum system. The problem depends on two real parameters , where is the Young modulus of the spring an…
Non-integrability of the problem of a rigid satellite in gravitational and magnetic fields
Andrzej J. Maciejewski, Maria Przybylska
In this paper we analyse the integrability of a dynamical system describing the rotational motion of a rigid satellite under the influence of gravitational and magnetic fields. In…