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Vibratory Brownian Motion

American Journal of Physics, 1962
In this paper, we derive the general law for the Brownian motion displacement of a particle in a colloidal solution on the basis of a wave equation for energy, which adequately explains its vibratory character.
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Is it Brownian or fractional Brownian motion?

Economics Letters, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Meiyu, Gençay, Ramazan, Xue, Yi
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Piecewise fractional Brownian motion

IEEE Transactions on Signal Processing, 2005
Starting from fractional Brownian motion (fBm) of unique parameter H, a piecewise fractional Brownian motion (pfBm) of parameters Hi, Ho and gamma is defined. This new process has two spectral regimes: It behaves like an fBm of parameter Ho for low frequencies and like an fBm of parameter Hi for high frequencies .When Ho = Hi, or for limit cases, pfBm ...
Emmanuel Perrin   +3 more
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Brownian Motion and Diffusions

2011
Multi-skewed Brownian motion Bα = {Bαt: t ≥ 0} with skewness sequence α = {αk: k ∈ Z} and interface set S = {xk: k ∈ Z} is the solution to Xt = X0 + Bt + ∫R LX(t, x)dμ(x) with μ = ∑k∈Z(2αk - 1)δxk We assume that αk ∈ (0, 1)\{1/2} and that S has no accumulation points.
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Relativistic Brownian motion

Advances in Applied Probability, 1975
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Highly Resolved Brownian Motion in Space and in Time

Annual Review of Fluid Mechanics, 2019
Jianyong Mo, Mark G. Raizen
exaly  

Role of Brownian Motion in the Enhanced Thermal Conductivity of Nanofluids

Applied Physics Letters, 2004
Seok Pil Jang, Stephen U S Choi
exaly  

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