30 citations · 79 across the 22 of their papers we have counts for
23 papers
Super-expanding measures
Fabiola Pedreira, Vilton Pinheiro
We study the one-dimensional expanding Lorenz maps and show the existence of dense subset D of Lorens maps such that each f in D has an uncountable set of ergodic invariant probabi…
Thermodynamic formalism for expanding measures
Vilton Pinheiro, Paulo Varandas
In this paper we study the thermodynamic formalism of strongly transitive endomorphisms , focusing on the set all expanding measures. In case is a non-flat map defi…
Topological and statistical attractors for interval maps
Vilton Pinheiro
We use the concept of Baire Ergodicity and Ergodic Formalism introduced to study topological and statistical attractors for interval maps, even with discontinuities. For that we al…
Ergodic Formalism for topological Attractors and historic behavior
Vilton Pinheiro
We introduce the concepts of Baire Ergodicity and Ergodic Formalism, employing them to study topological and statistical attractors. Specifically, we establish the existence and fi…
Lift and Synchronization
Vilton Pinheiro
We study the problem of lifting a measure to an induced map . In particular, we give a necessary and sufficient condition for an ergodic invariant probability…
Abundance of wild historic behavior
Vitor Araujo, Vilton Pinheiro
Using Caratheodory measures, we associate to each positive orbit of a measurable map , a Borel measure . We show that is -invariant w…