4 papers
On some Diophantine and Ergodic properties of the Schneider map over function fields
Matias Alvarado, Nicolás Arévalo-Hurtado, Claudio Bravo
We introduce and study continued fractions defined by Schneider-like maps over polynomial rings, where the maps are associated with a fixed polynomial of arbitrary degree. In parti…
Multifractal analysis of power means for the Schneider map on
Matias Alvarado, Nicolás Arévalo-Hurtado
We study the asymptotic power means of the coefficients associated with the Schneider continued fraction map on . Using tools from thermodynamic formalism, we comput…
The Lyapunov spectrum for Schneider map on
Matias Alvarado, Nicolás Arévalo-Hurtado
We study the thermodynamic formalism associated with the Schneider map on the p-adic integers . By introducing a geometric potential that captures the expansion of…
Equilibrium States for Piecewise Weakly Convex Interval Maps
Nicolás Arévalo-Hurtado
We prove the existence of equilibrium states for geometric potentials in a class of piecewise weakly convex interval maps. This class includes systems with indifferent fixed points…