G. Barrera

activity

20152026

most citedThermalisation for Small Random Perturbations of Dynamical Systems

17 citations · 72 across the 19 of their papers we have counts for

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3 papers · 1 filter

math.CV2026

Unimodular Zeros of Selmer's Harmonic Trinomials

Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete

Let $n > k$ be positive integers and let $ε, δ \in {- 1, 1}$ . In this note, we classify the unimodular zeros of the harmonic trinomial $H_{\varepsilon,δ}:\mathbb{C}\to \mathbb…

math.CV2023★ 4 cited

The stability region for Schur stable trinomials with general complex coefficients

Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete

In this paper, we characterize the stability region for trinomials of the form $f (ζ) := a ζ^{n} + b ζ^{m} + c$ , $ζ \in C$ , where $a$ , $b$ and $c$ are non-zero complex numbers and $n…

math.CV2021★ 9 cited

On the number of roots for harmonic trinomials

Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete

In this manuscript we study the counting problem for harmonic trinomials of the form $a ζ^{n} + b ζ^{m} + c$ , where $n, m \in N$ , $n > m$ , and $a$ , $b$ and $c$ are non-zero com…