15 research outputs found

    L\'evy-areas of Ornstein-Uhlenbeck processes in Hilbert-spaces

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    In this paper we investigate the existence and some useful properties of the L\'evy areas of Ornstein-Uhlenbeck processes associated to Hilbert-space-valued fractional Brownian-motions with Hurst parameter H(1/3,1/2]H\in (1/3,1/2]. We prove that this stochastic area has a H\"older-continuous version with sufficiently large H\"older-exponent and that can be approximated by smooth areas. In addition, we prove the stationarity of this area.Comment: 18 page

    Global consortium for the classification of fungi and fungus-like taxa

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