Displaying similar documents to “A type of Gauss' divergence formula on Wiener spaces.”

q-White noise and non-adapted stochastic integral

Un Cig Ji, Byeong Su Min (2006)

Banach Center Publications

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The q-white noise is studied as the time derivative of the q-Brownian motion. As an application of the q-white noise, a non-adapted (non-commutative) stochastic integral with respect to the q-Brownian motion is constructed.

Revisiting the sample path of Brownian motion

S. James Taylor (2006)

Banach Center Publications

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Brownian motion is the most studied of all stochastic processes; it is also the basis for stochastic analysis developed in the second half of the 20th century. The fine properties of the sample path of a Brownian motion have been carefully studied, starting with the fundamental work of Paul Lévy who also considered more general processes with independent increments and extended the Brownian motion results to this class. Lévy showed that a Brownian path in d (d ≥ 2) dimensions had zero...