Results 51 to 60 of about 49,113 (205)
A group action on increasing sequences of set-indexed Brownian motions
Modern Stochastics: Theory and Applications, 2015 We prove that a square-integrable set-indexed stochastic process is a set-indexed Brownian motion if and only if its projection on all the strictly increasing continuous sequences are one-parameter G-time-changed Brownian motions.
Arthur Yosef
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, 2008 A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work we study a 2D version of this model, where the molecule is a heavy disk of mass M and the gas is represented by just one point particle of mass m = 1, which interacts with the disk and the walls of the container via ...
Chernov, N., Dolgopyat, D.
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Journal of Mathematics in Industry, 2021 In this paper we apply the method of stochastic characteristics to a Lighthill–Whitham–Richards model. The stochastic perturbation can be seen as errors in measurement of the traffic density.
Nora Müller, Wolfgang Bock
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Ultraslow scaled Brownian motion
New Journal of Physics, 2015 We define and study in detail utraslow scaled Brownian motion (USBM) characterized by a time dependent diffusion coefficient of the form $D(t)\simeq 1/t$ .
Anna S Bodrova +3 more
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Haloarchaea swim slowly for optimal chemotactic efficiency in low nutrient environments
Nature Communications, 2020 Brownian motion places the ultimate limit on microorganisms’ ability to navigate. Thornton et al. show that Haloarchaea have a strategy of slow swimming and infrequent reorientation that exploits the randomising nature of Brownian motion to achieve ...
Katie L. Thornton +4 more
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Karhunen-Loève Expansion for the Second Order Detrended Brownian Motion
Abstract and Applied Analysis, 2014 Based on the norm in the Hilbert Space L2[0,1], the second order detrended Brownian motion is defined as the orthogonal component of projection of the standard Brownian motion into the space spanned by nonlinear function subspace.
Yongchun Zhou +3 more
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Flow and Heat Transfer to Sisko Nanofluid over a Nonlinear Stretching Sheet.
PLoS ONE, 2015 The two-dimensional boundary layer flow and heat transfer to Sisko nanofluid over a non-linearly stretching sheet is scrutinized in the concerned study. Our nanofluid model incorporates the influences of the thermophoresis and Brownian motion.
Masood Khan +3 more
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Application of the Fractal Brownian Motion to the Athens Stock Exchange
Fractal and FractionalThe Athens Stock Exchange (ASE) is a dynamic financial market with complex interactions and inherent volatility. Traditional models often fall short in capturing the intricate dependencies and long memory effects observed in real-world financial data. In
John Leventides +5 more
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Detecting non-Brownian trait evolution in adaptive radiations.
PLoS Biology, 2006 Many phylogenetic comparative methods that are currently widely used in the scientific literature assume a Brownian motion model for trait evolution, but the suitability of that model is rarely tested, and a number of important factors might affect ...
Robert P Freckleton, Paul H Harvey
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A direct construction of the Standard Brownian Motion [PDF]
, 2020 Lo Gane Samb +2 more
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