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Sample size impact on the categorisation of continuous variables in clinical prediction
(Trends in Mathematics. Research Perspectives CRM Barcelona. Extended Abstracts Fall 2015. Biomedical Big Data; Statistics for Low Dose Radiation Research, 201712)Recent advances in information technologies are generating a growth in the amount of available biomedical data. In this paper, we studied the impact sample size may have on the categorisation of a continuous predictor ... 
Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency
(Chaos, Solitons and Fractals, 20151231)In many complex systems the nonlinear cooperative dynamics determine the emergence of selforganized, metastable, structures that are associated with a birthdeath process of cooperation. This is found to be described by ... 
Scheduling of users with Markovian timevarying transmission rates
(Performance Evaluation Review, 20131231)We address the problem of developing a wellperforming and implementable scheduler of users with wireless connection to the base station. The main feature of such reallife systems is that the quality conditions of the ... 
Schrödinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results
(Journal of Functional Analysis, 20121231)The aim of this paper is two folded. Firstly, we study the validity of a Pohozaevtype identity for the Schrödinger operator A λ:=δλ/x 2, λ∈R, in the situation where the origin is located on the boundary of a smooth ... 
SDEdriven modeling of phenotypically heterogeneous tumors: The influence of cancer cell stemness
(Discrete and Continuous Dynamical Systems  Series B, 2019)We deduce cell population models describing the evolution of a tumor (possibly interacting with its environment of healthy cells) with the aid of differential equations. Thereby, different subpopulations of cancer cells ... 
Second moment constraints and the control problem of Markov jump linear systems
(Numerical Linear Algebra with Applications, 20131231)This paper addresses the optimal solution for the regulator control problem of Markov jump linear systems subject to second moment constraints. We can characterize and obtain the solution explicitly using linear matrix ... 
SelfAdjoint Extensions for the Dirac Operator with CoulombType Spherically Symmetric Potentials
(Letters in Mathematical Physics, 2018)We describe the selfadjoint realizations of the operator $H:=i\alpha\cdot \nabla + m\beta + \mathbb V(x)$, for $m\in\mathbb R $, and $\mathbb V(x)= x^{1} ( \nu \mathbb{I}_4 +\mu \beta i \lambda \alpha\cdot{x}/{x}\,\beta)$, ... 
Selfsimilar stochastic models with stationary increments for symmetric spacetime fractional diffusion
(MESA 2014  10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, Conference Proceedings, 20141231)An approach to develop stochastic models for studying anomalous diffusion is proposed. In particular, in this approach the stochastic particle trajectory is based on the fractional Brownian motion but, for any realization, ... 
Semianalytical response of acoustic logging measurements in frequency domain
(Computers and Mathematics with Applications, 20151231)This work proposes a semianalytical method for simulation of the acoustic response of multipole eccentered sources in a fluidfilled borehole. Assuming a geometry that is invariant with respect to the azimuthal and vertical ... 
A semidiscrete largetime behavior preserving scheme for the augmented Burgers equation
(ESAIM: Mathematical Modelling and Numerical Analysis, 20170601)In this paper we analyze the largetime behavior of the augmented Burgers equation. We first study the wellposedness of the Cauchy problem and obtain $L^1L^p$ decay rates. The asymptotic behavior of the solution is ... 
Semimarkov graph dynamics
(PLoS ONE, 20111231)In this paper, we outline a model of graph (or network) dynamics based on two ingredients. The first ingredient is a Markov chain on the space of possible graphs. The second ingredient is a semiMarkov counting process of ... 
Semialgebraic CMC surfaces in $\mathbb{R}^3$ with singularities
(20180630)In this paper we present a classification of a class of semialgebraic CMC surfaces in $\mathbb{R}^3$ that generalizes the recent classification made by Barbosa and do Carmo in 2016 (complete reference is in the paper), we ... 
Sensitivity analysis of 1d steady forced scalar conservation laws
(Journal of Differential Equations, 20131231)We analyze 1  d forced steady state scalar conservation laws. We first show the existence and uniqueness of entropy solutions as limits as t→ ∞ of the corresponding solutions of the scalar evolutionary hyperbolic conservation ... 
Sensitivity study of boreholetosurface and crosswell electromagnetic measurements acquired with energized steel casing to water displacement in hydrocarbonbearing layers
(Geophysics, 20081231)We study the theoretical response of electromagnetically energized steel casing in the presence of subsurface variations of electrical resistivity. Casing is energized with a finitesize solenoid antenna located along the ... 
Shallowshell models by Γconvergence
(Mathematics and Mechanics of Solids, 20121231)In this paper we derive, by means of Γconvergence, the shallowshell models starting from nonlinear threedimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ... 
Sharp bounds for the ratio of modified Bessel functions
(Mediterranean Journal of Mathematics, 20170621)Let $I_{\nu }\left( x\right) $ be the modified Bessel functions of the first kind of order $\nu $, and $S_{p,\nu }\left( x\right) =W_{\nu }\left( x\right) ^{2}2pW_{\nu }\left( x\right) x^{2}$ with $W_{\nu }\left( x\right) ... 
Sharp exponential localization for eigenfunctions of the Dirac Operator
(2018)We determine the fastest possible rate of exponential decay at infinity for eigenfunctions of the Dirac operator $\mathcal D_n + \mathbb V$, being $\mathcal D_n$ the massless Dirac operator in dimensions $n=2,3$ and ... 
Sharp Observability Estimates for Heat Equations
(Archive for Rational Mechanics and Analysis, 20111231)The goal of this article is to derive new estimates for the cost of observability of heat equations. We have developed a new method allowing one to show that when the corresponding wave equation is observable, the heat ... 
Sharp weighted estimates involving one supremum
(Comptes Rendus Mathematique, 201707)In this note, we study the sharp weighted estimate involving one supremum. In particular, we give a positive answer to an open question raised by Lerner and Moen. We also extend the result to rough homogeneous singular ... 
Shear flow dynamics in the BerisEdwards model of nematic liquid crystals
(Proceedings of the Royal Society AMathematical, Physical and Engineering Sciences, 20180214)We consider the BerisEdwards model describing nematic liquid crystal dynamics and restrict to a shear flow and spatially homogeneous situation. We analyze the dynamics focusing on the effect of the flow. We show that in ...