2013/02/10 by Pacifico, Maria Jose, Vieitez, Jose L.
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1302.2282
Let f: M → M be a diffeomorphism defined on a compact boundaryless d-dimensional manifold M, d≥ 2. C. Morales has proposed the notion of measure expansiveness. In this note we show that diffeomorphisms in a residual subset far from homoclinic tangencies are measure expansive. We also show that surface diffeomorphisms presenting homoclinic tangencies can be C1-approximated by non-measure expansive diffeomorphisms.