BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Maxima of stable processes, the range of a stable subordinator and the gap between Fréchet random variables and stable random variables Samorodnitsky, Gennady


Extremal limit theorems for certain long memort stationary stable processes lead unexpectedly to a nonlinear time change in the usual extremal process. Extending the convergence to the context of random sup measures reveals that the nonlinear time change is a result of a certain optimization procedure over ranges of i.i.d. stable subordinators. When the memory in the original stationary stable process is particularly long, new random variables may appear in the limit, whose laws bridge the gap between Fréchet and stable random variables.

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