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Stochastic homogenization information


In homogenization theory, a branch of mathematics, stochastic homogenization is a technique for understanding solutions to partial differential equations with oscillatory random coefficients.[1]

  1. ^ "Stochastic Homogenization". www.mis.mpg.de. Retrieved 11 June 2018.

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Stochastic homogenization

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In homogenization theory, a branch of mathematics, stochastic homogenization is a technique for understanding solutions to partial differential equations...

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Brownian motion

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water. In 1900, the French mathematician Louis Bachelier modeled the stochastic process now called Brownian motion in his doctoral thesis, The Theory...

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Weinan E

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events. He has also made contributions to homogenization theory, theoretical models of turbulence, stochastic partial differential equations, electronic...

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List of statistics articles

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model Stochastic Stochastic approximation Stochastic calculus Stochastic convergence Stochastic differential equation Stochastic dominance Stochastic drift...

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Jinqiao Duan

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contributions to the research of non-Gaussian stochastic dynamical systems, homogenization of stochastic partial differential equations and related application...

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Leonid Berlyand

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Drawing upon fundamental works in classical homogenization theory, Berlyand advanced the methods of homogenization in many versatile applications. He obtained...

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Representative elementary volume

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(L) of the domain of random microstructure over which smoothing (or homogenization) is being done relative to the microscale (d). As L/d goes to infinity...

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Narrow escape problem

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Zawada, Daniel (2013-04-22). "Narrow-escape problem for the unit sphere: Homogenization limit, optimal arrangements of large numbers of traps, and the N2 conjecture"...

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Partial differential equation

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homogeneous, otherwise it is inhomogeneous. (This is separate from asymptotic homogenization, which studies the effects of high-frequency oscillations in the coefficients...

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Anisotropy

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Marcin (1 September 2018). "Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects". Acta...

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Business cycle

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Business Cycles and Fractional Reserve Banking: Continuing the De-Homogenization Process" (PDF). www.mises.org. Ludwig von Mises Institute. Archived...

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Urban ecology

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environment can decrease diversity through habitat removal and species homogenization—the increasing similarity between two previously distinct biological...

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Turbulence

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available supply of energy in turbulent flows tends to accelerate the homogenization (mixing) of fluid mixtures. The characteristic which is responsible...

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Eddy diffusion

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molecular diffusion becomes more and more efficient and finishes the homogenization by actually mixing the molecules across the boundaries. This is a truly...

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Probabilistic numerics

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Clint (2019). Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: From a Game Theoretic Approach to Numerical Approximation and Algorithm...

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Dmitry Ioffe

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environments, random perturbations of dynamical systems, metastability and homogenization. In particular, he extended the Dobrushin-Kotecky-Shlosman two dimensional...

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Zener ratio

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Marcin (2018-09-01). "Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects". Acta...

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Traffic flow

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assumed that highway capacity of free flow at a highway bottleneck is a stochastic value. However, in accordance with the classical understanding of highway...

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Gene expression

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copies of original mRNA, typically in units of copies per nanolitre of homogenized tissue or copies per cell. qPCR is very sensitive (detection of a single...

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Biodiversity

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host species to become extinct. Extirpation, population decline and homogenization of regional biodiversity are much more common. Human activities have...

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Stanislav Molchanov

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reprint Multiscale averaging for ordinary differential equations, in: Homogenization, World Scientific 1999, pp. 316–397 doi:10.1142/9789812812919_0012 Fluctuations...

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Invasive species

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pollution is unintentional hybridization and introgression, which leads to homogenization or replacement of local genotypes as a result of either a numerical...

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Microstructures in 3D printing

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Inverse homogenization method has been introduced to achieve specific macro-scale behaviors with desired Poisson’s ratio. The inverse homogenization method...

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