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BILIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS
(Journal of Singularities, 2022) [Artigo]In this work we study biLipschitz and differential sufficiency in the set of weighted jets of map germs of weighted degree. Our main result improves the degree of sufficiency of jets in the classical jet space obtained ... 
Formulations and exact solution approaches for a coupled binpacking and lotsizing problem with sequencedependent setups
(Flexible Services and Manufacturing Journal, 2022) [Artigo]We study binpacking and lotsizing decisions in an integrated way. Such a problem appears in several manufacturing settings where items first need to be cut and next assembled into final products. One of the main novelties ... 
Optimality conditions for interval valued optimization problems
(Fuzzy Sets and Systems, 2022) [Artigo]This work addresses constrained optimization problems in which the objective function is intervalvalued while the inequality constraints functions are realvalued. Both necessary and sufficient optimality conditions are ... 
Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones
(International Journal of Bifurcation and Chaos, 2022) [Artigo]In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus in a discontinuous planar piecewise linear Hamiltonian differential system with three zones separated by two parallel straight ... 
Symmetry and symmetry breaking for Hénontype problems involving the 1Laplacian operator
(Communications in Contemporary Mathematics, 2022) [Artigo]In this work, we study a class of Hénontype equations which involve the 1Laplacian operator in the unit ball. Under mild assumptions on the nonlinearity, the existence of radial solutions is proved and, for a parameter ... 
LiouvilleGelfand Type Problems for the NLaplacian on Bounded Domains of ℝN
(Annali della Scuola Normale Superiore di Pisa  Classe di Scienze, 1999) [Artigo]In this article it is used minimax methods to establish some results of existence and multiplicity of solutions for the A NLaplacian equation on bounded domains of ℝN, with Dirichlet boundary conditions, when the nonlinearity ... 
Two variable Freud orthogonal polynomials and matrix Painlevetype difference equations
(Journal Of Difference Equations And Applications, 2022) [Artigo]We study bivariate orthogonal polynomials associated with Freud weight functions depending on real parameters. We analyse relations between the matrix coefficients of the three term relations for the orthonormal polynomials ... 
The Cone Structure Theorem
(International Mathematics Research Notices, 2021) [Artigo]We consider the topological classification of finitely determined map germs f: (Rn, 0) → (Rp, 0) with f1(0) = {0}. Associated with f we have a link diagram, which is well defined up to topological equivalence. We prove ... 
Invariant probabilities for discrete time linear dynamics via thermodynamic formalism
(Nonlinearity, 2021) [Artigo]We show the existence of invariant ergodic σadditive probability measures with full support on X for a class of linear operators L : X → X, where L is a weighted shift operator and X either is the Banach space c0(ℝ) or ... 
Chain recurrence and average shadowing in dynamics
(Monatshefte fur Mathematik, 2021) [Artigo]We investigate several notions related to pseudotrajectories, including chain recurrence and shadowing properties, for a special class of diffeomorphisms on euclidean spheres, known as spherical linear transformations, and ... 
Lattices from abelian extensions and errorcorrecting codes
(Rocky Mountain Journal of Mathematics, 2021) [Artigo]A construction of laminated lattices of full diversity in odd dimensions d with 3 ≤ d ≤ 15 is presented. The technique, which uses a combination of number fields and errorcorrecting codes, consists essentially of two ... 
Shadowing and structural stability for operators
(Ergodic Theory and Dynamical Systems, 2021) [Artigo]A wellknown result in the area of dynamical systems asserts that any invertible hyperbolic operator on any Banach space is structurally stable. This result was originally obtained by Hartman in 1960 for operators on ... 
A new number field construction of the D4lattice
(International Journal of Applied Mathematics, 2018) [Artigo]A classical problem in lattice theory is to determine whether a given lattice can be realized as OKlattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized ... 
Fourdimensional lattices from ℚ(√2,√5)
(International Journal of Applied Mathematics, 2017) [Artigo]Fourdimensional lattices with block circulant generator matrices are constructed from submodules of the ring of integers of the totally real number field ℚ(√2,√5). The obtained lattices are of full diversity and their ... 
Lattice constellations matched to GF(p)
(IEEE International Symposium on Information Theory  Proceedings, 1997) [Trabalho apresentado em evento]Signal sets matched to the additive group of GF(p) under the Mannheim distance are constructed. Such constellations are obtained via the ring of algebraic integers of an extension K=Q(√d) of Q, Where d=1 or d=3. The ... 
PARAMETERS OF A POSITIVE CHAIN SEQUENCE ASSOCIATED WITH ORTHOGONAL POLYNOMIALS
(Proceedings of the American Mathematical Society, 2022) [Artigo]The objective here is to provide a new characterization of all the parameter sequences of a positive chain sequence that has been of importance in the study of orthogonal polynomials on the real line. Connection formulas ... 
An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle
(Operator Theory: Advances and Applications, 2021) [Capítulo de livro]This paper deals with sequences of monic polynomials { Φn(μk;z)}n≥0, k = 0, 1, orthogonal with respect to two nontrivial Borel measures μk, k = 0, 1, supported on the unit circle, satisfying (formula presented) n ≥ 3, where ... 
Mixed orthogonality on the unit ball
(Computational and Applied Mathematics, 2021) [Artigo]We consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed ... 
A review of mathematical optimization models applied to the sugarcane supply chain
(International Transactions in Operational Research, 2021) [Artigo]Sugarcane is a product of great economic relevance and, as well as its use for the production of different types of sugar, it is also a renewable source for the production of biofuels, other bioproducts, and electricity. ... 
Rational first integrals of the liénard equations: The solution to the poincaré problem for the liénard equations
(Anais da Academia Brasileira de Ciencias, 2021) [Artigo]Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class of ...