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Particle picture for the Rosenblatt process

Speaker(s)
Anna Talarczyk
Affiliation
Uniwersytet Warszawski
Date
Jan. 10, 2013, 12:15 p.m.
Room
room 3260
Seminar
Seminar of Probability Group

The Rosenblatt process was introduced by Taqqu (1975). It is self-similar with index H, 1/2< H<1, has stationary increments and is not Gaussian - it lives in the second Wiener chaos. We show how this process can be obtained by applying a limiting procedure to appropriately chosen functionals of a system of \alpha-stable Levy processes.