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- FIELD
- Math:Geometry
- DATE
-
Sep 26 (Fri), 2025
- TIME
- 10:00 ~ 12:00
- PLACE
- 8101
- SPEAKER
- Dinamarca, Leonardo
- HOST
- Nyberg Brodda, Carl-Fredrik
- INSTITUTE
- Pontificia Universidad Católica de Chile / KIAS
- TITLE
- Quadratic growth for the derivatives of iterates of interval diffeomorphisms with only parabolic fixed points
- 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. Joint work with Andrés Navas.
- FILE
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