Adrián Esparza-Amador

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20202026

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math.DS2026

Dynamics of Newton's method for odd and even elliptic functions

Adrián Esparza-Amador, Mónica Moreno Rocha

We investigate Newton's method applied to any odd or any even elliptic function with an arbitrary period lattice. For any function of this type whose set of poles coincides with it…

math.DS2024

Thermodynamic formalism and hyperbolic Baker domains: Real-analyticity of the Hausdorff dimension

Adrián Esparza-Amador

We consider the family of entire maps given by $f_{ℓ, c} (z) = ℓ + c - (ℓ - 1) lo g c - e^{z}$ , where $c \in D (ℓ, 1)$ and $ℓ \in N$ , $ℓ \geq 2$ . By using the property of $f_{\…

math.DS2023

Thermodynamic formalism for entire transcendental maps with hyperbolic Baker Domains

Adrián Esparza-Amador, Irene Inoquio-Renteria

We provide a version of a thermodynamic formalism of entire transcendental maps that exhibit Baker domains, denoted as $f_{ℓ, c} : C \to C$ and defined by $f_{\ell…

math.DS2021

Oscillating Wandering Domains for p-Adic Transcendental Entire Maps

Adrián Esparza-Amador, Jan Kiwi

We give examples of transcendental entire maps over $C_{p}$ having an oscillating wandering Fatou component.

math.DS2021

Commuting functions in class K and families of wandering Baker domains

Adrián Esparza-Amador

Given commuting functions f,g, with at most a countable compact set of essential singularities, recent results for entire functions are extended to prove that Julia sets match, J(f…