2 citations · 3 across the 8 of their papers we have counts for
8 papers
On rectifiability of Delone sets in intermediate regularity
Irene Inoquio-Renteria, Rodolfo Viera
In this work, we deal with Delone sets and their rectifiability under different classes of regularity. By pursuing techniques developed by Rivière and Ye, and Aliste-Prieto, Corone…
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 and defined by $f_{\ell…
Exponential rate of decay of correlations of equilibrium states associated with non-uniformly expanding circle maps
Eduardo Garibaldi, Irene Inoquio-Renteria
In the context of expanding maps of the circle with an indifferent fixed point, understanding the joint behavior of dynamics and pairs of moduli of continuity may be a u…
A Ruelle-Perron-Frobenius theorem for expanding circle maps with an indifferent fixed point
Eduardo Garibaldi, Irene Inoquio-Renteria
In this note, we establish an original result for the thermodynamic formalism in the context of expanding circle transformations with an indifferent fixed point. For an observable…
Dynamical obstruction to the existence of continuous sub-actions for interval maps with regularly varying property
Eduardo Garibaldi, Irene Inoquio-Renteria
In ergodic optimization theory, the existence of sub-actions is an important tool in the study of the so-called optimizing measures. For transformations with regularly varying prop…
On the existence of a conformal and an absolutely continuous invariant measure for transcendental entire maps
Irene Inoquio-Renteria
We identify a class of hyperbolic transcendental entire maps and we prove that some of its elements generate a class of potentials for which exhibit a conformal and invariant proba…
A Characterization of hyperbolic potentials of rational maps
Irene Inoquio-Renteria, Juan Rivera-Letelier
Consider a rational map of degree at least 2 acting on its Julia set , a Hölder continuous potential and the pressure …
Characterization of hyperbolic potentials
Irene Inoquio-Renteria
For a rational map and a Hölder continuous potential satisfying the uniqueness and stochastic properties of the corresponding equilibrium states have bee…