Browsing MATArtigos by Title
Now showing items 120 of 22

Applications of PDEs to the study of affine surface geometry
(Mathematical Society of Serbia, 2019)If M=(M,∇) is an affine surface, let Q(M):=ker(H+1m−1ρs) be the space of solutions to the quasiEinstein equation for the crucial eigenvalue. Let M~=(M,∇~) be another affine structure on M which is strongly projectively ... 
Codimension one Ricci soliton subgroups of solvable Iwasawa groups
(Elsevier, 2021)Recently, Jablonski proved that, to a large extent, a simply connected solvable Lie group endowed with a leftinvariant Ricci soliton metric can be isometrically embedded into the solvable Iwasawa group of a noncompact ... 
Embedding Theorems for the Dunkl Harmonic Oscillator on the Line
(National Academy of Science of Ukraine, 2014)Embedding results of Sobolev type are proved for the Dunkl harmonic oscillator on the line. 
Evolutionary regime transitions in structured populations
(PLOS, 2018)The evolutionary dynamics of a finite population where resident individuals are replaced by mutant ones depends on its spatial structure. Usually, the population adopts the form of an undirected graph where the place ... 
Exploring the topological sources of robustness against invasion in biological and technological networks
(Nature Publishing Group, 20160210)For a network, the accomplishment of its functions despite perturbations is called robustness. Although this property has been extensively studied, in most cases, the network is modified by removing nodes. In our approach, ... 
Expressed sequence tags (ESTs) from immune tissues of turbot (Scophthalmus maximus) challenged with pathogens
(BMC, 2008)Background: The turbot (Scophthalmus maximus; Scophthalmidae; Pleuronectiformes) is a flatfish species of great relevance for marine aquaculture in Europe. In contrast to other cultured flatfish, very few genomic resources ... 
HGalois extensions with normal basis for weak Hopf algebras
(International Electronic Journal of Algebra, 2017)Let H be a weak Hopf algebra and let A be an Hcomodule algebra with subalgebra of coinvariants AH. In this paper we introduce the notion of HGalois extension with normal basis and we prove that AH ,→ A is an HGalois ... 
Homogeneous and curvature homogeneous Lorentzian critical metrics
(Cambridge University Press, 2022)We determine all threedimensional homogeneous and 1 curvature homogeneous Lorentzian metrics which are critical for a quadratic curvature functional. As a result, we show that any quadratic curvature functional admits ... 
Homogeneous generalized Einstein manifolds in dimension four
(Wiley, 2021)We classify homogeneous fourdimensional manifolds satisfying a curvature condition which naturally generalizes the Einstein one. Our work leads to new examples of selfsimilar solutions of the twoloop renormalization group flow 
Isoparametric hypersurfaces in Damek–Ricci spaces
(Elsevier, 20130601)We construct uncountably many isoparametric families of hypersurfaces in DamekRicci spaces. We characterize those of them that have constant principal curvatures by means of the new concept of generalized Kähler angle. ... 
Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation
(Elsevier, 2022)The goal of this work is first to include a hysteresis model in the classical equivalent circuit model (ECM) for a battery system and then to improve the estimation of the state of charge (SoC) by applying the Extended ... 
A method for validating Rent’s rule for technological and biological networks
(Springer Nature, 20170714)Rent’s rule is empirical power law introduced in an effort to describe and optimize the wiring complexity of computer logic graphs. It is known that brain and neuronal networks also obey Rent’s rule, which is consistent ... 
New insights into the Manila clam – Perkinsus olseni interaction based on gene expression analysis of clam hemocytes and parasite trophozoites through in vitro challenges
(Elsevier, 2020)The Manila clam (Ruditapes philippinarum) is the bivalve species with the highest global production from both fisheries and aquaculture, but its production is seriously threatened by perkinsosis, a disease caused by the ... 
Operationalizing the use of TLS in forest inventories: the R package FORTLS
(Elsevier, 2022)Terrestrial Laser Scanning (TLS) devices show great potential for application in Forest Inventories (FIs) as they are capable of registering high resolution point clouds rapidly and automatically. Nevertheless, operational ... 
A Perturbation of the Dunkl Harmonic Oscillator on the Line
(National Academy of Science of Ukraine, 2015)Let Jσ be the Dunkl harmonic oscillator on R (σ>−1/2. For 0<u<1 and ξ>0, it is proved that, if σ>u−1/2, then the operator U=Jσ+ξx−2u, with appropriate domain, is essentially selfadjoint in L2(R,x2σdx), the Schwartz ... 
Ricci solitons on fourdimensional Lorentzian Lie groups
(Springer, 2022)We determine all nonEinstein Ricci solitons on fourdimensional Lorentzian Lie groups whose soliton vector field is leftinvariant. In addition to ppwave and plane wave Lie groups, there are four families of Lorentzian ... 
Solution of a fractional logistic ordinary differential equation
(Elsevier, 2022)We solve the logistic differential equation of fractional order and nonsingular kernel. The analytical solution is obtained 
Stochastic smoothing of point processes for wildlifevehicle collisions on road networks
(Springer, 2021)Wildlifevehicle collisions on road networks represent a natural problem between human populations and the environment, that affects wildlife management and raise a risk to the life and safety of car drivers. We propose a ... 
Suppressors of selection
(Public Library of Science, 201707)Inspired by recent works on evolutionary graph theory, an area of growing interest in mathematical and computational biology, we present examples of undirected structures acting as suppressors of selection for any fitness ... 
The group of strong Galois objects associated to a cocommutative Hopf quasigroup
(Korean Mathematical Society, 2017)Let H be a cocommutative faithfully flat Hopf quasigroup in a strict symmetric monoidal category with equalizers. In this paper we introduce the notion of (strong) Galois Hobject and we prove that the set of isomorphism ...