3 citations · 3 across the 8 of their papers we have counts for
8 papers
Thermodynamic Dictionary for Syracuse-like Maps
Eduardo Santana
In this paper we estabilsh a dictionary between the behavior of a general map which is defined by using a decomposition into disjoint subsets and the th…
A Livšic-type theorem and some regularity properties for nonadditive sequences of potentials
Carllos Eduardo Holanda, Eduardo Santana
We study some notions of cohomology for asymptotically additive sequences and prove a Livšic-type result for almost additive sequences of potentials. As a consequence, we are able…
Evolution on Sets
Eduardo Santana
We introduce the notion of evolution on sets and study several sets endowed with this structure and obtain some results about this new notion.
Subcohomology and a Livsic Theorem for Zooming Systems
Lamine Mbarki, Eduardo Santana
In the context of continuous zooming systems on a compact metric space , which include the non-uniformly expanding ones, possibly with the presence of a critical set…
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…
Open Zooming Systems: Uniqueness of Equilibrium States
Rafael A. Bilbao, Eduardo Santana
We study open zooming systems and potentials with uniqueness of equilibrium states. The uniqueness is established for a certain class of zooming potentials when the map is topologi…
Equilibrium States for Open Zooming Systems
Eduardo Santana
In this work, we construct Markov structures for zooming systems adapted to holes of a special type. Our construction is based on backward contractions provided by zooming times. T…
Equilibrium states for hyperbolic potentials via inducing schemes
Jose F. Alves, Krerley Oliveira, Eduardo Santana
In a context of non-uniformly expanding maps, possibly with the presence of a critical set, we prove the existence of finitely many ergodic equilibrium states for hyperbolic potent…