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SUMMARY:Leonardo Dinamarca: Quadratic growth for the derivatives of iterat
 es of interval diffeomorphisms with only parabolic fixed point.
DTSTART:20250624T074500Z
DTEND:20250624T094500Z
DTSTAMP:20260423T021500Z
UID:indico-event-14531@indico.math.cnrs.fr
DESCRIPTION:Abstract: 20 years ago\, in the seminal work of Polterovich an
 d Sodin shows a (short but) surprising result: if the iterates of derivati
 ves of a diffeomorphisms of the interval of class C^2 growth are subexpone
 ntial\, then it grows at most quadratic. In this talk we will discuss a st
 ronger result that asserts that the lim_n max Df^n / n^2 exists. We briefl
 y discuss the modern tools who allow us to obtain the results.\n \nJoin w
 ork with Andrés Navas\n\nhttps://indico.math.cnrs.fr/event/14531/
URL:https://indico.math.cnrs.fr/event/14531/
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