arXiv subjects

Maria José Pacífico

Publications and source records attributed to Maria José Pacífico.

2 recordsLinked to original sources

arXiv2021

N-expansive Flows

We define the concept of $N$-expansivity for flows and extend some of the results already established for discrete dynamics and for $CW$-expansive flows. We show examples of $N$-expansive flows but not expansive, and examples of $CW$-expansive flows but not $N$-expansive for any natural number $N$.} We also define Komuro $N$-expansivity and prove that on compact surfaces it implies Komuro expansivity.

math.DS↗

arXiv2015

Continuum-wise expansiveness and specification for set-valued functions and topological entropy

We define the concept of continuum wise expansive for set-valued functions and prove that if a compact metric space admit a set-valued $cw$-expansive function then the topological entropy of $X$ is positive.} We also introduce the notion of pointwise specification property for set-valued functions and prove that set-valued functions with this property has positive entropy.

math.DS↗