Dynamical Systems Seminar




Abstract
 
For dynamical systems, there has been much work on the statistics of extremes. We look at the related topic of records. Namely, given a process \(\{X_n\}\) generated by a dynamical system, we consider record events: namely times where \(X_n>\max\{X_1,\ldots, X_{n-1}\}\). For certain dynamical systems, we consider the distribution of times for which records occur, and on the distribution of the corresponding record values. This work is joint with Mike Todd.


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