For dynamical systems we discuss the statistics of extremes, namely the
statistical limit laws that govern the process
\(M_{n}=\max\{X_1,X_2,\ldots,X_n\}\) , where \(X_i\) correspond to a
stationary time series of observations generated by the dynamical system.
We discuss extreme statistics for a range of examples of interest to those
working in ergodic theory and chaotic dynamical systems. In a work in
progress, we also discuss the statistics of records, namely the
distribution of times \(n\) such that \(X_{n}=M_n\), and the distribution of
the corresponding record values. [For the latter we will review the I.I.D.
case first.]
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