Leonardo Dinamarca: Quadratic growth for the derivatives of iterates of interval diffeomorphisms with only parabolic fixed point.

mardi 24 juin 2025, 09:45 → 11:45 Europe/Paris

Abstract: 20 years ago, in the seminal work of Polterovich and Sodin shows a (short but) surprising result: if the iterates of derivatives of a diffeomorphisms of the interval of class C^2 growth are subexponential, then it grows at most quadratic. In this talk we will discuss a stronger result that asserts that the lim_n max Df^n / n^2 exists. We briefly discuss the modern tools who allow us to obtain the results.

 

Join work with Andrés Navas