2 papers
math.DS2020
On the projective derivative cocycle for circle diffeomorphisms
Andrés Navas, Mario Ponce
We study the projective derivative as a cocycle of Möbius transformations over groups of circle diffeomorphisms. By computing precise expressions for this cocycle, we obtain severa…
math.DS2009
An example showing that fibred quadratic polynomials admit many attracting curves
Mario Ponce
We present an example of a fibred quadratic polynomial admitting an attracting invariant 2-curve. By an unfolding construction we obtain an example of a fibred quadratic polynomial…