Results 1 to 10 of about 36,754 (262)

Dynamics of Active Brownian Particles in Plasma

Molecules, 2021
Experimental data on the active Brownian motion of single particles in the RF (radio-frequency) discharge plasma under the influence of thermophoretic force, induced by laser radiation, depending on the material and type of surface of the particle, are ...
Kyaw Arkar, Mikhail M. Vasiliev, Oleg F. Petrov, Evgenii A. Kononov, Fedor M. Trukhachev   +4 more
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Maximal Brownian motions

Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2009
Let $Z=(X,Y)$ be a planar Brownian motion, $\ZZ$ the filtration it generates, and $B$ a linear Brownian motion in the filtration $\ZZ$. One says that $B$ (or its filtration) is maximal if no other linear $\ZZ$-Brownian motion has a filtration strictly bigger than that of $B$.
Brossard, Jean, Emery, Michel, Leuridan, Christophe   +2 more
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On Skew Brownian Motion

The Annals of Probability, 1981
We consider the stochastic equation $X(t) = W(t) + \beta l^X_0(t)$, where $W$ is a standard Wiener process and $l^X_0(\cdot)$ is the local time at zero of the unknown process $X$. There is a unique solution $X$ (and it is adapted to the fields of $W$) if $|\beta| \leq 1$, but no solutions exist if $|\beta| > 1$.
Harrison, J. M, Shepp, Larry A
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The Influence of Multiplicative Noise and Fractional Derivative on the Solutions of the Stochastic Fractional Hirota–Maccari System

Axioms, 2022
We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar, Wael W. Mohammed, Clemente Cesarano, M. El-Morshedy   +3 more
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Generalized fractional Brownian motion

Modern Stochastics: Theory and Applications, 2017
We introduce a new Gaussian process, a generalization of both fractional and subfractional Brownian motions, which could serve as a good model for a larger class of natural phenomena.
Mounir Zili
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Nonlinear Brownian Motion [PDF]

Physics-Uspekhi, 1994
Brownian motion is a familiar classroom demonstration. This phenomenon was discovered as early as 1827 by a British botanist called Robert Brown who was the first to report incessant chaotic movement of pollen particles suspended in liquid.
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Functions of Brownian Motion [PDF]

Proceedings of the American Mathematical Society, 1975
The class of continuous functions h h for which
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The three kinds of brownian motion

Moldavian Journal of the Physical Sciences, 2015
In addition to the Brownian motion of a small particle in the air and the Brownian motion of a resonator, a third and new kind is proposed; it is referred to as the "coherent Brownian motion" and represents the permanent in-phase Brownian motions of an ...
Rattinacannou, J.
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Brownian motion and magnetism [PDF]

Physical Review B, 1994
Published
Sinha, Supurna, Samuel, Joseph
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Asymptotic Growth of Sample Paths of Tempered Fractional Brownian Motions, with Statistical Applications to Vasicek-Type Models

Fractal and Fractional
Tempered fractional Brownian motion (TFBM) and tempered fractional Brownian motion of the second kind (TFBMII) modify the power-law kernel in the moving average representation of fractional Brownian motion by introducing exponential tempering.
Yuliya Mishura, Kostiantyn Ralchenko
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