Results 61 to 70 of about 212,713 (312)
A Multiscale Guide to Brownian Motion
, 2015 We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based "geometrical features" at ...
Beliaev, Dmitry +2 more
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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 +2 more
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Microsphere Autolithography—A Scalable Approach for Arbitrary Patterning of Dielectric Spheres
Advanced Functional Materials, EarlyView.MicroSphere Autolithography (µSAL) enables scalable fabrication of patchy particles with customizable surface motifs. Focusing light through dielectric microspheres creates well defined, tunable patches via a conformal poly(dopamine) photoresist. Nearly arbitrary surface patterns can be achieved, with the resolution set by the index contrast between ...
Elliott D. Kunkel +3 more
wiley +1 more source
Relativistic Brownian motion [PDF]
Physics Reports, 2009 Stimulated by experimental progress in high energy physics and astrophysics, the unification of relativistic and stochastic concepts has re-attracted considerable interest during the past decade. Focusing on the framework of special relativity, we review, here, recent progress in the phenomenological description of relativistic diffusion processes ...
Dunkel, Jörn, Hänggi, Peter
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Integrative Approaches for DNA Sequence‐Controlled Functional Materials
Advanced Functional Materials, EarlyView.DNA is emerging as a programmable building block for functional materials with applications in biomimicry, biochemical, and mechanical information processing. The integration of simulations, experiments, and machine learning is explored as a means to bridge DNA sequences with macroscopic material properties, highlighting current advances and providing ...
Aaron Gadzekpo +4 more
wiley +1 more source
On a Brownian motion with a hard membrane
, 2016 Local perturbations of a Brownian motion are considered. As a limit we obtain a non-Markov process that behaves as a reflected Brownian motion on the positive half line until its local time at zero reaches some exponential level, then changes a sign and ...
Mandrekar, Vidyadhar, Pilipenko, Andrey
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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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Advanced Functional Materials, EarlyView.Cephalopod‐inspired photonic microparticles with dynamic structural coloration are fabricated via confined self‐assembly of linear block copolymers into ellipsoids containing stacked lamellae. Embedded superparamagnetic nanoparticles enable rapid magnetic alignment, restoring vivid, angle‐dependent color.
Gianluca Mazzotta +8 more
wiley +1 more source
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.
doaj
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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