Browsing Departament: Matemàtiques by Title
-
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
Springer (2023)In this paper we study the dynamics of damped Traub’s methods Tδ when applied to polynomials. The family of damped Traub’s methods consists of root finding algorithms which contain both Newton’s (δ = 0) and Traub’s method ... -
On the characterization of algebraically integrable plane foliations
American Mathematical Society (2010)We give a characterization theorem for non-degenerate plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree of a non-degenerate foliation as above provides the ... -
On the classification of exceptional planar functions over Fp
Springer Netherlands (2014-12)We will present many strong partial results towards a classification of exceptional planar/PN monomial functions on finite fields. The techniques we use are the Weil bound, Bézout’s theorem, and Bertini’s theorem. -
On the Common Divisor Graph of the Product of Integer Multisets
Springer (2024)The common divisor graph, Γ(X), is a graph that has been defined on a set of positive integers X. Some properties of this graph have been studied in the cases when either X is the set of character degrees or the set of ... -
On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5
(2018-04)We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in ℝ4 ) and a chemical reaction model in ℝ5 . We prove that the first one is completely ... -
On the computation of Darboux first integrals of a class of planar polynomial vector fields
Elsevier (2019-05)We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , where the αi 's are positive real numbers and the fi 's are polynomials defining curves with only one ... -
On the construction of domains of formal balls for uniform spaces
(2014-05)In the spirit of the well-known constructions of Edalat and Heckmann for metric spaces, we endow the set of formal (closed) balls of a given uniform space with a structure of poset and prove several of its properties, which ... -
On the convergence of adaptive gPC for non-linear random difference equations: Theoretical analysis and some practical recommendations
International Scientific Research Publications (2018-06-19)In this paper, the application of adaptive generalized polynomial chaos (gPC) to quantify the uncertainty for non-linear random difference equations is analyzed. It is proved in detail that, under certain assumptions, the ... -
On the convergence of the mild random walk algorithm to generate random one-factorizations of complete graphs
Taylor and Francis (2020-05-13)The complete graph Kn, for n even, has a one-factorization (proper edge coloring) with n – 1 colors. In the recent contribution [Dotan M., Linial N. (2017). ArXiv:1707.00477v2], the authors raised a conjecture on the ... -
On the Darboux integrability of a cubic CRN model in R-5
Elsevier (2016-01)We study the Darboux integrability of a differential system in R5R5 with parameters coming from a chemical reaction model. In particular, we find all its Darboux polynomials and exponential factors and we prove that it is ... -
On the Degree of Curves with Prescribed Multiplicities and Bounded Negativity
Oxford University Press (2022-07-28)We provide a lower bound on the degree of curves of the projective plane P2 passing through the centers of a divisorial valuation ν of P2 with prescribed multiplicities, and an upper bound for the Seshadri-type constant ... -
On the distance of stabilizer quantum codes from J-affine variety codes
Springer Verlag (2017)Self-orthogonal J-affine variety codes have been successfully used to obtain quantum stabilizer codes with excellent parameters. In a previous paper we gave formulae for the dimension of this family of quantum codes, but ... -
On the evaluation codes given by simple d-sequences
Springer (2015-08)Plane valuations at infinity are classified in five types. Valuations in one of them determine weight functions which take values on semigroups of Z2. These semigroups are generated by δ-sequences in Z2. We introduce simple ... -
On the existence of chaos for the viscous van Wijngaarden–Eringen equation
Elsevier (2016-08)We study the viscous van Wijngaarden–Eringen equation: which corresponds to the linearized version of the equation that models the acoustic planar propagation in bubbly liquids. We show the existence of an explicit range, ... -
On the existence of non-norm-attaining operators
Cambridge University Press (2021-07-09)In this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in L(E,F) . By using a theorem due to Pfitzner on James boundaries, we show that if there exists a ... -
On the expected value and variance for an estimator of the spatio-temporal product density function
Aalborg University. Department of Mathematical Sciences (2014)Second-order characteristics are used to analyse the spatio-temporal structure of the under- lying point process, and thus these methods provide a natural starting point for the analysis of spatio-temporal point process ... -
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
Springer (2013)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic Curvature
Springer Verlag (2014)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
Springer (2022-03-21)Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q2-ary linear codes. This result can be generalized to q2m-ary linear codes, m>1. We give a result for easily obtaining quantum codes ... -
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data
Elsevier (2022-08-27)Based on the previous literature about the random logistic and Gompertz models, the aim of this paper is to extend the investigations to the generalized logistic differential equation in the random setting. First, this is ...