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math.PR2026
On variation functions of lacunary series
Matyas Barczy, Peter Kern
We study variation functions of some lacunary series along the sequence of -adic partitions, where is an integer. By such a lacunary series, we mean that in the definition…
math.PR2026
Max-semistable extremal behavior of AR(1)-processes connected with Bernoulli convolutions
Peter Kern, Alef Sterk
We consider simple autoregressive processes of type AR(1), whose stationary distribution is supported on a subset of the unit interval and is an affine transformation of a Bernoull…