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A family of random models for bosonic quasi-particle excitations, e.g. the vibrations of a disordered solid, is introduced. The generator of the linearized phase space dynamics of these models is the ...
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...
In this paper we consider first order differential models of collective behaviors of groups of agents based on the mass conservation equation. Models are formulated taking the spatial distribution o...
We prove that the size of the sparsest directed k-spanner of a graph can be approximated in polynomial time to within a factor of ˜O(√n), for all k ≥ 3. This improves the ˜O(n2/3)- approxim...
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.
For fixed c Prolate Spheroidal Wave Functions ψn,c form a basis with remarkable properties for the space of band-limited functions with bandwith c and have been largely studied and used after the se...
Given a nonnegative polynomial f, we provide an explicit expres-sion for its best ℓ1-norm approximation by a sum of squares of given degree.
Functions satisfying a defective renewal equation arise commonly in applied probability models. Usually these functions don’t admit a explicit expression. In this work we consider to approximate them ...
Let X be a homogeneous space, X = G/H, where G is a connected linear algebraic group over a number field k, and H  G is a k-subgroup (not necessarily con-nected). Let S be a finite set of places of k...
Weighted low-rank approximation (WLRA), a dimensionality reduction technique for data anal- ysis, has been successfully used in several applications, such as in collaborative filtering to design reco...
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...
The standard Bayesian Information Criterion (BIC) is derived under regularity conditions which are not always satis ed by the graphical models with hidden variables.
In this article we deal with the approximation of solutions of non-linear evolution equations of the form A(u(t))+f(u(t)) = u′(t), the numerical analysis of solutions to this problems will be performe...
To improve the uniform convergence of the classical Lagrange operators of several variables, we construct a new operator with a class of summation factors. It is proved that the new operator converges...

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