BIRD, BCAM's Institutional Repository Data: Recent submissions
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Exact Constructions in the (Nonlinear) Planar Theory of Elasticity: From Elastic Crystals to Nematic Elastomers
(Archive for Rational Mechanics and Analysis, 202007)In this article we deduce necessary and sufficient conditions for the presence of “Contitype”, highly symmetric, exactly stressfree constructions in the geometrically nonlinear, planar nwell problem, generalising results ... 
A hypothesis about parallelism vs. seriality in dreams
(Front. Psychol., 20191010)The current article discusses the hypothesis about parallelism vs. Seriality in dreams. The process of dream building implies the construction of a complex network of closely interrelated sources. On the other hand, the ... 
A note on generalized Poincarétype inequalities with applications to weighted improved Poincarétype inequalities
(2020)The main result of this paper supports a conjecture by C. P\'erez and E. Rela about the properties of the weight appearing in their recent selfimproving result of generalized inequalities of Poincar\'etype in the Euclidean ... 
A Decomposition of Calderón–Zygmund Type and Some Observations on Differentiation of Integrals on the InfiniteDimensional Torus
(Potential Analysis, 20200213)In this note we will show a Calder\'onZygmund decomposition associated with a function $f\in L^1(\mathbb{T}^{\omega})$. The idea relies on an adaptation of a more general result by J. L. Rubio de Francia in the setting ... 
An efficient Kmeans clustering algorithm for tall data
(DATA MINING AND KNOWLEDGE DISCOVERY, 2020)The analysis of continously larger datasets is a task of major importance in a wide variety of scientific fields. Therefore, the development of efficient and parallel algorithms to perform such an analysis is a a crucial ... 
Optimization of an Externally Mixed Biogas Plant Using a Robust CFD Method
(Computers and Electronics in Agriculture, 202004)Biogas plants have to be continuously or periodically mixed to ensure the homogenization of fermenting and fresh substrate. Externally installed mixers provide easier access than submerged mixers but concerns of ... 
Bayesian hierarchical modelling of growth curve derivatives via sequences of quotient differences
(Journal of the Royal Statistical Society: Series C (Applied Statistics), 202001)Growth curve studies are typically conducted to evaluate differences between group or treatmentspecific curves. Most analyses focus solely on the growth curves, but it has been argued that the derivative of growth curves ... 
Geometric differentiability of Riemann's nondifferentiable function
(Advances in Mathematics, 202006)Riemann’s nondifferentiable function is a classic example of a continuous function which is almost nowhere differentiable, and many results concerning its analytic regularity have been shown so far. However, it can also ... 
Equivariant motivic integration and proof of the integral identity conjecture for regular functions
(Mathematische Annalen, 20191202)We develop DenefLoeser’s motivic integration to an equivariant version and use it to prove the full integral identity conjecture for regular functions. In comparison with Hartmann’s work, the equivariant Grothendieck ... 
Topological invariants of plane curve singularities: Polar quotients and Lojasiewicz gradient exponents
(International Journal of Mathematics, 20191021)In this paper, we study polar quotients and Łojasiewicz exponents of plane curve singularities, which are not necessarily reduced. We first show that, for complex plane curve singularities, the set of polar quotients is a ... 
Globally subanalytic CMC surfaces in $\mathbb{R}^3$ with singularities
(Proceedings A of the Royal Society of Edinburgh, 20200302)In this paper we present a classification of a class of globally subanalytic CMC surfaces in $\mathbb{R}^3$ that generalizes the recent classification made by Barbosa and do Carmo in 2016. We show that a globally subanalytic ... 
Multiplicity, regularity and blowspherical equivalence of complex analytic sets
(The Asian Journal of Mathematics, 20200129)This paper is devoted to study multiplicity and regularity of complex analytic sets. We present an equivalence for complex analytical sets, named blowspherical equivalence and we obtain several applications with this new ... 
Supervised nonparametric discretization based on Kernel density estimation
(Pattern Recognition Letters, 20191219)Nowadays, machine learning algorithms can be found in many applications where the classifiers play a key role. In this context, discretizing continuous attributes is a common step previous to classification tasks, the main ... 
Online Elastic Similarity Measures for time series
(Pattern Recognition, 201904)The way similarity is measured among time series is of paramount importance in many data mining and machine learning tasks. For instance, Elastic Similarity Measures are widely used to determine whether two time series are ... 
idmTPreg: Regression Model for Progressive Illness Death Data
(The R Journal, 20181201)The progressive illnessdeath model is frequently used in medical applications. For example, the model may be used to describe the disease process in cancer studies. We have developed a new R package called idmTPreg to ... 
A Hardytype inequality and some spectral characterizations for the DiracCoulomb operator
(Revista Matemática Complutense, 20190702)We prove a sharp Hardytype inequality for the Dirac operator. We exploit this inequality to obtain spectral properties of the Dirac operator perturbed with Hermitian matrixvalued potentials V of Coulomb type: we characterise ... 
Evolution of Polygonal Lines by the Binormal Flow
(Springer Nature Switzerland AG 2020, 20200205)The aim of this paper is threefold. First we display solutions of the cubic nonlinear Schr ̈odinger equation on R in link with initial data a sum of Dirac masses. Secondly we show a Talbot effect for the same equation. ... 
Some lower bounds for solutions of Schrodinger evolutions
(SIAM J. MATH. ANAL., 20190821)We present some lower bounds for regular solutions of Schr odinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, ... 
Uniqueness Properties of Solutions to the BenjaminOno equation and related models
(20190131)We prove that if u1, u2 are solutions of the Benjamin Ono equation defined in (x, t) ∈ R × [0, T ] which agree in an open set Ω ⊂ R × [0,T], then u1 ≡ u2. We extend this uniqueness result to a general class of equations ... 
Absence of eigenvalues of twodimensional magnetic Schr ̈odinger operators
(20171017)By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding twodimensional Schr ̈odinger operator possesses no point ...