5 papers
Inner-Distal Homeomorphisms and Measures
J. Aponte, D. Carrasco-Olivera, H. Villavicencio
An inner-distal homeomorphism is one such that each of its proximal cells has empty interior. In locally connected spaces, we prove these homeomorphisms have the following properti…
On the Eigenvectors of Generalized Circulant Matrices
Enide Andrade, Dante Carrasco-Olivera, Cristina Manzaneda
In this paper, closed formulas for the eigenvectors of a particular class of matrices generated by generalized permutation matrices, named generalized circulant matrices, are prese…
Polynomial Entropy and Expansivity
Alfonso Artigue, Dante Carrasco-Olivera, Ignacio Monteverde
In this paper we study the polynomial entropy of homeomorphism on compact metric space. We construct a homeomorphism on a compact metric space with vanishing polynomial entropy tha…
A Note on Measure-Expansive Diffeomorphisms
Alfonso Artigue, Dante Carrasco-Olivera
In this note we prove that a homeomorphism is countably-expansive if and only if it is measure-expansive. This result is applied for showing that the -interior of the sets of…
Expansive measures for flows
D. Carrasco-Olivera, C. A. Morales
We extend the concept of expansive measure \cite{am} defined for homeomorphism to flows. We obtain some properties for such measures including abscense of singularities in the supp…