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Organizers
Organizers
Hyungryul Baik (KAIST),
Sang-hyun Kim, Javier de la Nuez-González, Carl-Fredrik Nyberg-Brodda, David Xu (KIAS),
Sanghoon Kwak (SNU)
How to join
How to join
Zoom https://kimsh.kr/vz
Meeting ID: 822 3235 0014
Passcode: 7998
Time Generally, Tuesdays or Thursdays 11 am KST
Length is typically for one-hour unless noted otherwise, although it's often extended by questions etc.
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2025
2025
September 25 (Thu), 10:00 am
KIAS 1424 & Zoom https://kimsh.kr/vz
Leonardo Dinamarca Opazo (Pontificia Universidad Católica de Chile / KIAS)
Quadratic growth for the derivatives of iterates of interval diffeomorphisms with only parabolic fixed points.
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.
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