An analysis for BV-regularised optimal control problems associated to semilinear elliptic equations was provided. Existence, first order necessary and second order sufficient optimality conditions were investigated. Special attention was given to th…

Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal contr…

In a recent article, Alishahi and Zamani discuss the spherical ensemble, a rotationally invariant determinantal point process on the 2-sphere. In thi…

This paper shows the complementary roles of mathematical and engineering points of view when dealing with truss analysis problems involving systems o…

The literature groups algorithms to learn the structure of Bayesian networks from data in three separate classes: constraint-based algorithms, which …

The power law distribution is usually used to fit data in the upper tail of the distribution. However, commonly it is not valid to model data in all …

This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that w…

A previous work (Monteser\'in et al. 2008) estimated the CMB variance from the three-year WMAP data, finding a lower value than expected from Gaussia…

Correlation Networks (CNs) inherently suffer from redundant information in their network topology. Bayesian Networks (BNs), on the other hand, includ…

In the framework of supervised classification (discrimination) for functional data, it is shown that the optimal classification rule can be explicitl…

In our previous paper [SIMAX 31 n.3 1491-1506(2010)], we studied the condition metric in the space of maximal rank matrices. Here, we show that this …

This paper characterizes the achievable rate region of an unlicensed multiple-access channel (MAC) that coexists with a licensed point-to-point user,…

A seminal result in the theory of toric varieties, due to Knudsen, Mumford and Waterman (1973), asserts that for every lattice polytope $P$ there is …

We propose and study a variation of Bagchi and Datta's $\sigma$-vector of a simplicial complex C, whose entries are defined as weighted sums of Betti…

We describe, for the first time, a completely rigorous homotopy (path--following) algorithm (in the Turing machine model) to find approximate zeros o…

The tensor rank decomposition, or canonical polyadic decomposition, is the decomposition of a tensor into a sum of rank-1 tensors. The condition numb…

In this paper we obtain closed expressions for the probability distribution function, when we consider aggregated risks with multivariate dependent P…

The acyclic system conjecture of Ardila and Ceballos can be interpreted as saying the following: "Every triangulation of the 3-skeleton of a product …

Linear second order differential equations having a large real parameter and turning point in the complex plane are considered. Classical asymptotic …

We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives a…

The 30 and 44 GHz Back End Modules (BEM) for the Planck Low Frequency Instrument are broadband receivers (20% relative bandwidth) working at room tem…

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