7 citations · 31 across the 33 of their papers we have counts for
34 papers
Entropy on regular sets and periodic-orbit growth for singular flows
C. A. Morales
We study entropy and periodic-orbit growth for flows on metric spaces. First, we prove that the finite topological entropy of a flow on a compact metric space is completely carried…
At most exponential growth of periodic orbits for star flows
C. A. Morales, E. Rego, X. Wen
We prove that on any closed manifold there exists a C1 open and dense subset of star flows for which the periodic orbits grow at most expo- nentially. We also explain how our metho…
Robust transitivity without sectional-hyperbolicity
A. Arbieto, W. Britto, C. A. Morales +1
For any integer , we construct an -dimensional vector field exhibiting a robustly transitive singular attractor which is not sectional-hyperbolic. Nevertheless,…
Measure-expansive systems
C. A. Morales
We call a dynamical system on a measurable metric space {\em measure-expansive} if the probability of two orbits remain close each other for all time is negligible (i.e. zero). We…
On supports of expansive measures
C. A. Morales
We prove that a homeomorphism of a compact metric space has an expansive measure \cite{ms} if and only if it has many ones with invariant support. We also study homeomorphisms for…
Pseudoconnections and Ricci flow
C. A. Morales
In this note we explain how a flow in the space of Riemmanian metrics (including Ricci's \cite{mt}) induces one in the space of pseudoconnections.