375 citations
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math.DS2008★ 3 cited
Invariant measures of minimal post-critical sets of logistic maps
María Isabel Cortez, Juan Rivera-Letelier
We construct logistic maps whose restriction to the omega-limit set of its critical point is a minimal Cantor system having a prescribed number of distinct ergodic and invariant pr…
math.DS2007
Planar Embeddings with a Globally Attracting Fixed Point
Begona Alarcon, Victor Guinez, Carlos Gutierrez
We consider sufficient conditions which guarantee that a planar embedding has a unique fixed point. We study sufficient conditions which imply the appearing of a globally attractin…