3 citations · 3 across the 2 of their papers we have counts for
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Uniqueness of Equilibrium Measure for a Family of Partially Hyperbolic Horseshoes
Krerley Oliveira, Marlon Oliveira, Eduardo Santana
In this paper, we show the uniqueness of equilibrium state for a family of partially hyperbolic horseshoes, introduced in [12] for some classes of continuous potentials. For the fi…
Equilibrium States for Random Zooming Systems
Rafael A. Bilbao, Marlon Oliveira, Eduardo Santana
In this work, based on Pinheiro for deterministic systems, we extend the notion of zooming systems to the random context and based on the technique of Arbieto-Matheus-Oliveira we p…
Random Expansive Measures
Rafael A. Bilbao, Marlon Oliveira, Eduardo Santana
The notion of expansivity and its generalizations (measure expansive, measure positively expansive, continuum-wise expansive, countably-expansive) are well known for deterministic…