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math.DS2014★ 2 cited
Lévy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces
María J. Garrido-Atienza, Kening Lu, Björn Schmalfuss
In this paper we investigate the existence and some useful properties of the Lévy areas of Ornstein-Uhlenbeck processes associated to Hilbert-space-valued fractional Brownian-motio…
math.DS2004
Determining functionals for random partial differential equations
Igor Chueshov, Jinqiao Duan, Björn Schmalfuß
Determining functionals are tools to describe the finite dimensional long-term dynamics of infinite dimensional dynamical systems. There also exist several applications to infinite…