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Square variation of Brownian paths in Banach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1982
It is known that if {W(t),   0≤t≤1} is a standard Brownian motion in ℝ then limn→∞∑i=12n|W(i/2n)−W((i−1)/2n)|2=1 almost surely. We generalize this celebrated theorem of Levy to Brownian motion in real separable Banach spaces.
Mou-Hsiung Chang
doaj   +1 more source

CFD Study on Wall/Nanoparticle Interaction in Nanofluids Convective Heat Transfer

open access: yesAdvances in Materials Science and Engineering, 2013
The Brownian motion of the nanoparticles in nanofluid is one of the potential contributors to enhance effective thermal conductivity and the mechanisms that might contribute to this enhancement are the subject of considerable discussion and debate.
Mohammad Reza Tarybakhsh   +2 more
doaj   +1 more source

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