Local times for multifractional Brownian motion in higher dimensions: A white noise approach
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. Bd. 19. H. 4. 2016
Erscheinungsjahr: 2016
ISBN/ISSN: 0219-0257
Publikationstyp: Zeitschriftenaufsatz
Doi/URN: 10.1142/S0219025716500260
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Inhaltszusammenfassung
We present the expansion of the multifractional Brownian motion (mBm) local time in higher dimensions, in terms of Wick powers of white noises (or multiple Wiener integrals). If a suitable number of kernels is subtracted, they exist in the sense of generalized white noise functionals. Moreover, we show the convergence of the regularized truncated local times for mBm in the sense of Hida distributions.
Autoren
Bock, Wolfgang (Autor)
da Silva, Jose Luis (Autor)
Suryawan, Herry P. (Autor)