Departamento de Matemática
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The cohomology of the Grassmannian is a glnmodule
(Communications in Algebra, 2019) [Artigo]The integral singular cohomology ring of the Grassmann variety parametrizing rdimensional subspaces in the ndimensional complex vector space is naturally an irreducible representation of the Lie algebra (Formula presented.) ... 
Adapted splittings for pairs (G,W)
(Topology and its Applications, 2019) [Artigo]Let G be a group, W a Gset with [G:Gw]=∞ for all w∈W, where Gw denotes the point stabilizer of w∈W. Considering the restriction map resW G:H1(G,Z2G)→∏w∈EH1(Gw,Z2G), where E is a set of orbit representatives for the Gaction ... 
Topological biKequivalence of pairs of map germs
(Hokkaido Mathematical Journal, 2018) [Artigo]Let Pk(n, p × q) be the set of all pairs of real polynomial map germs (f, g): (ℝn; 0) → (ℝp × ℝq; 0) with degree of f1, . . ., fp, g1, . . ., gq less than or equal to k 2 N. The main result of this paper shows that the set ... 
Singularities of a surface given by Kenmotsutype formula in Euclidean threespace
(Sao Paulo Journal of Mathematical Sciences, 2019) [Artigo]We study singularities of surfaces which are given by Kenmotsutype formula with prescribed unbounded mean curvature. 
On close to scalar families for fractional evolution equations: zero–one law
(Semigroup Forum, 2019) [Artigo]For {Rα,β(t)}t≥0 being a strongly continuous (α, β) resolvent family on a Banach space, we show that the assumption supt>0‖1tβ1Eα,β(λtα)Rα,β(t)I‖=:θ<1 yields that Rα , β(t) = tβ  1Eα , β(λtα) for all t> 0 and λ≥ 0 , ... 
Trace form associated to cyclic number fields of ramified odd prime degree
(Journal of Algebra and its Applications, 2019) [Artigo]In this work, we computate the trace form Tr k/Q (x2) associated to a cyclic number field of odd prime degree p, where p ramified in and x belongs to the ring of integers of . Furthermore, we use this trace form to calculate ... 
Slow–fast systems and sliding on codimension 2 switching manifolds
(Dynamical Systems, 2019) [Artigo]In this work, we consider piecewise smooth vector fields X defined in R n \ ∑, where Σ is a selfintersecting switching manifold. A double regularization of X is a 2parameter family of smooth vector fields X ε.η , ε,η > ... 
Quadratic threedimensional differential systems having invariant planes with total multiplicity nine
(Rendiconti del Circolo Matematico di Palermo, 2018) [Artigo]In this paper we consider all the quadratic polynomial differential systems in R3 having exactly nine invariant planes taking into account their multiplicities. This is the maximum number of invariant planes that these ... 
On Elliptic equations with singular potentials and nonlinear boundary conditions
(Quarterly of Applied Mathematics, 2018) [Artigo]We consider the Laplace equation in the halfspace satisfying a nonlinear Neumann condition with boundary potential. This class of problems appears in a number of mathematical and physics contexts and is linked to fractional ... 
ON A CLASS OF RAUZY FRACTALS WITHOUT THE FINITENESS PROPERTY
(Osaka Journal Of Mathematics, 2019) [Artigo]We present some topological and arithmetical aspects of a class of Rauzy fractals Ra,Rb related to the polynomials of the form Pa,Pb(x) = x(3)  ax(2)  bx  1, where a and b are integers satisfying a + 1 <= b <= 2. ... 
Dynamical properties of random walks
(Stochastics And Dynamics, 2019) [Artigo]In this paper, we study dynamical properties such as hypercyclicity, supercyclicity, frequent hypercyclicity and chaoticity for transition operators associated to countable irreducible Markov chains. As particular cases, ... 
PARAMETRIZATION FOR A CLASS OF RAUZY FRACTALS
(Osaka Journal Of Mathematics, 2019) [Artigo]In this paper, we study a class of Rauzy fractals Ra given by the polynomial x(3)  ax(2) + x  1 where a >= 2 is an integer. In particular, we give explicitly an automaton that generates the boundary of Ra and using an ... 
TOPOLOGICAL CLASSIFICATION OF CIRCLEVALUED SIMPLE MORSEBOTT FUNCTIONS
(Journal Of Singularities, 2018) [Artigo]In this work, we investigate the classification of MorseBott functions from S2 to S1, up to topological conjugacy. We give a complete topological invariant of simple MorseBott functions f : S2 > S1. The invariant ... 
Primitive to nonprimitive BCH codes: An instantaneous path shifting scheme for data transmission
(Journal Of Algebra And Its Applications, 2018) [Artigo]In this paper, we present constructions of primitive and nonprimitive BCH codes using monoid rings over the local ring Z(2m), with m >= 1. We show that there exist two sequences {Cbjn}(j >= 1). and {C'(bjn)}(j >= 1) of ... 
On certain homological invariant and its relation with poincaré duality pairs
(Algebra and Discrete Mathematics, 2018) [Artigo]Let G be a group, S = {Si, i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a ℤ2 Gmodule. In [4] the authors defined a homological invariant E∗ (G, S, M), which is “dual” to ... 
Nonchaotic Behavior in Quadratic ThreeDimensional Differential Systems with a Symmetric Jacobian Matrix
(International Journal of Bifurcation and Chaos, 2018) [Artigo]In this paper, we give an algebraic criterion to determine the nonchaotic behavior for polynomial differential systems defined in ℝ3 and, using this result, we give a partial positive answer for the conjecture about the ... 
Spectra of generalized stochastic adding machines
(Fundamenta Mathematicae, 2018) [Artigo]We define stochastic adding machines based on Cantor systems of numeration. We show that the spectra associated to these stochastic adding machines are fibered Julia sets, and we also compute various parts of the spectra ... 
Singular levels and topological invariants of Morse–Bott foliations on nonorientable surfaces
(Topological Methods in Nonlinear Analysis, 2018) [Artigo]We investigate the classification of closed curves and eight curves of saddle points defined on nonorientable closed surfaces, up to an ambient homeomorphism. The classification obtained here is applied to Morse–Bott ... 
Periodic orbits, invariant tori and chaotic behavior in certain nonequilibrium quadratic threedimensional differential systems
(Studies in Systems, Decision and Control, 2018) [Capítulo de livro]In (Jafari et al, Phys Lett A 377(9):699702, 2013) the authors gave the expressions of seventeen classes of quadratic differential systems defined in R3, depending on one real parameter a, which present chaotic behavior ... 
On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé–Hoover oscillator
(Nonlinear Dynamics, 2018) [Artigo]We consider the wellknown Sprott A system, which is a special case of the widely studied Nosé–Hoover oscillator. The system depends on a single real parameter a, and for suitable choices of the parameter value, it is shown ...