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math.DS2020
Generalized Fibonacci numbers and extreme value laws for the Rényi map
N. B-S. Boer, A. E. Sterk
In this paper we prove an extreme value law for a stochastic process obtained by iterating the Rényi map , where we assume that is an integer. Haiman (2…
math.DS2014
Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems
Mark Holland, Pau Rabassa, Alef Sterk
For non-uniformly hyperbolic dynamical systems we consider the time series of maxima along typical orbits. Using ideas based upon quantitative recurrence time statistics we prove c…