4 citations · 10 across the 10 of their papers we have counts for
10 papers
The numerical range of some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices
Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño, Hiroshi Nakazato
In this paper we prove a conjecture stated by the first two authors establishing the closure of the numerical range of a certain class of -periodic tridiagonal operators as th…
The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix
Benjamín A. Itzá-Ortiz, Rubén A. Martínez-Avendaño, Hiroshi Nakazato
In this paper we show that the closure of the numerical range of an -periodic tridiagonal operator is equal to the numerical range of a complex matrix.
Generalized cell structures
Ana Hernández-Dávila, Benjamín A. Itzá-Ortiz, Rocío Leonel-Gómez
Cell structures were introduced by W. Debski and E. Tymchatyn as a way to study some classes of topological spaces and their continuous functions by means of discrete approximation…
Bézout coefficients of coprime numbers approximate quadratic Bézier curves
Benjamín A. Itzá-Ortiz, Roberto López Hernández, Pedro Miramontes
Given a point with nonnegative integer coordinates and , we prove that the quadratic Bézier curve relative to the points , and is approximat…
Fractional Lotka-Volterra model with time-delay and delayed controller for a bioreactor
Raúl Villafuerte-Segura, Benjamín A. Itzá-Ortiz, Pablo A. López-Pérez +1
In this paper, a fractional Lotka-Volterra mathematical model for a bioreactor is proposed and used to fit the data provided by a bioprocess known as continuous fermentation of Zym…
Digital images unveil geometric structures in pairs of relatively prime numbers
Benjamín A. Itzá-Ortiz, Roberto López-Hernández, Pedro Miramontes
We present a transformation, based on the Bézout's identity, which maps the set of pairs of relatively prime numbers with fixed and , to pairs of relatively prim…
Classification of eventually periodic subshifts
Benjamín A. Itzá-Ortiz, Meghan B. Malachi, Austin Marstaller +2
We provide a classification of eventually periodic subshifts up to conjugacy and flow equivalence. We use our results to prove that each skew Sturmian subshift is conjugate to exac…
Continuous and discrete flows on operator algebras
Benjamín Itzá-Ortiz
Let be a centrally ergodic W* dynamical system. When is not a factor, we show that, for each , the crossed product induced by the time automorphism $θ_t…
The C*-algebras Associated to Time- Automorphisms of Mapping Tori
Benjamín Itzá-Ortiz
We find the range of a trace on the group of a crossed product by a time- automorphism of a mapping torus. We also find a formula to compute the Voiculescu-Brown entropy f…
Eigenvalues, K-theory and Minimal Flows
Benjamín Itzá-Ortiz
Let be a minimal suspension flow built over a dynamical system and with (strictly positive, continuous) ceiling function . We show that the eigenval…