Leonardo Dinamarca Opazo

collaborators

2 papers

math.GR2024

Distortion in groups of generalized piecewise-linear transformations

Leonardo Dinamarca Opazo

For each natural number $n$ , we consider the subgroup $R_{n}$ of Homeo $_{+} [0, 1]$ made by the elements that are linear except for a subset whose Cantor-Bendixson rank is less…

math.DS2024

Exact quadratic growth for the derivatives of iterates of interval diffeomorphisms with only parabolic fixed points

Leonardo Dinamarca Opazo, Andrés Navas

We consider $C^{2}$ diffeomorphisms of a closed interval with only parabolic fixed points. We show that the maximal growth of the derivatives of the iterates of such a diffeomorphism…