BIRD, BCAM's Institutional Repository Data: Recent submissions
Now showing items 120 of 297

Partial regularity and smooth topologypreserving approximations of rough domains
(Calculus of Variations and Partial Differential Equations, 20170101)For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studied of fields of `good directions', that is the directions with respect to which $\partial\Omega$ can be locally represented ... 
Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the oneconstant approximation
(Mathematical Models and Methods in Applied Sciences, 20161231)We consider the twodimensional Landaude Gennes energy with several elastic constants, subject to general $k$radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent ... 
Enhancing sampling in atomistic simulations of solid state materials for batteries: a focus on olivine NaFePO4
(arXiv.org, 20161225)The study of ion transport in electrochemically active materials for energy storage systems requires simulations on quantum atomistic and mesoscales. The methods accessing these scales not only have to be effective but ... 
Multiobjective Optimization of Orbit Transfer Trajectory Using Imperialist Competitive Algorithm
(IEEE Aerospace Conference, 20170304)This paper proposes a systematic direct approach to carry out effective multiobjective optimization of space orbit transfer with highlevel thrust acceleration. The objective is to provide a transfer trajectory with ... 
Homogeneous singularity and the Alexander polynomial of a projective plane curve
(20171210)The Alexander polynomial of a plane curve is an important invariant in global theories on curves. However, it seems that this invariant and even a much stronger one the fundamental group of the complement of a plane curve ... 
On the generalized Nash problem for smooth germs and adjacencies of curve singularities
(20171210)In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space ... 
Euler reflexion formulas for motivic multiple zeta functions
(20170110)We introduce a new notion of $\boxast$product of two integrable series with coefficients in distinct Grothendieck rings of algebraic varieties, preserving the integrability and commuting with the limit of rational series. ... 
Singularities of the Hilbert scheme of effective divisors
(20170110)In this article, we study the Hilbert scheme of effective divisors in smooth hypersurfaces in $\mathbb{P}^3$, a topic not extensively studied. We prove that there exists such effective divisors $D$ satisfying the property: ... 
A specialization property of index
(20170110)In [Kol13] Kollár defined $i$th index of a proper scheme over a field. In this note we study how index behaves under specialization, in any characteristic. 
A note on the determinant map
(20170110)Classically, there exists a determinant map from the moduli space of semistable sheaves on a smooth, projective variety to the Picard scheme. Unfortunately, if the underlying variety is singular, then such a map does not ... 
Comparison of betabinomial regression model approaches to analyze health related quality of life data
(Statistical Methods in Medical Research, 20170105)Health related quality of life (HRQoL) has become an increasingly important indicator of health status in clinical trials and epidemiological research. Moreover, the study of the relationship of HRQoL with patients' and ... 
Hardy uncertainty principle, convexity and parabolic evolutions
(Communications in Mathematical Physics, 20160901)We give a new proof of the $L^2$ version of Hardy’s uncertainty principle based on calculus and on its dynamical version for the heat equation. The reasonings rely on new logconvexity properties and the derivation of ... 
A Short Survey on the Integral Identity Conjectureand Theories of Motivic Integration
(Acta Mathematica Vietnamica, 20161216)In KontsevichSoibelman’s theory of motivic DonaldsonThomas invariants for 3dimensional noncommutative CalabiYau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ... 
Spatiotemporal adaptive penalized splines with application to Neuroscience
(20161230)Data analysed here derive from experiments conducted to study neurons' activity in the visual cortex of behaving monkeys. We consider a spatiotemporal adaptive penalized spline (Pspline) approach for modelling the firing ... 
Fast estimation of multidimensional adaptive Pspline models
(20161021)A fast and stable algorithm for estimating multidimensional adaptive Pspline models is presented. We call it as Separation of Overlapping Penalties (SOP) as it is an extension of the Separation of Anisotropic Penalties ... 
A strategy for selfadjointness of Dirac operators: Applications to the MIT bag model and deltashell interactions
(20161221)We develop an approach to prove selfadjointness of Dirac operators with boundary or transmission conditions at a $C^2$compact surface without boundary. To do so we are lead to study the layer potential induced by the ... 
Dimension reduction for the micromagnetic energy functional on curved thin lms
(20161214)Micromagnetic con gurations of the vortex and onion type have beenwidely studied in the context of planar structures. Recently a signi cant interest to micromagnetic curved thin lms has appeared. In particular, thin ... 
A computational multiscale model of cortical spreading depression propagation
(20161219)Cortical Spreading Depression (CSD) is a disruption of the brain hemostasis that, originating in the visual cortex and traveling towards the frontal lobe, temporarily impairs the normal functioning of neurons. Although, ... 
On the response of autonomous sweeping processes to periodic perturbations
(SetValued and Variational Analysis, 20161201)If $x_0$ is an equilibrium of an autonomous differential equation $\dot x=f(x)$ and $\det \f'(x_0)\\not=0$, then $x_0$ persists under autonomous perturbations and $x_0$ transforms into a $T$periodic solution under ...