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Real C k Koebe principle

Weixiao Shen, Michael Todd (2005)

Fundamenta Mathematicae

We prove a C k version of the real Koebe principle for interval (or circle) maps with non-flat critical points.

Renormalization of exponential sums and matrix cocycles

Alexander Fedotov, Frédéric Klopp (2004/2005)

Séminaire Équations aux dérivées partielles

In this paper, we present a new point of view on the renormalization of some exponential sums stemming from number theory. We generalize this renormalization procedure to study some matrix cocycles arising in spectral problems of quantum mechanics

Return time statistics for unimodal maps

H. Bruin, S. Vaienti (2003)

Fundamenta Mathematicae

We prove that a non-flat S-unimodal map satisfying a weak summability condition has exponential return time statistics on intervals around a.e. point. Moreover we prove that the convergence to the entropy in the Ornstein-Weiss formula enjoys normal fluctuations.

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