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The Stochastic Heat Equation with Fractional-Colored Noise:Existence of the Solution
Stochastic heat equation Gaussian noise stochastic integral fractional Brownian motion spatial covariance function
2009/6/12
The Stochastic Heat Equation with Fractional-Colored Noise:Existence of the Solution.
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand
heat equation white noise stochastic partial differential equations
2009/4/29
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...
A connection between the stochastic heat equation and fractional Brownian motion, and a simple proof of a result of Talagrand
stochastic fractional Brownian motion
2009/4/22
We give a new representation of fractional Brownian motion with Hurst parameter $Hleqfrac{1}{2}$ using stochastic partial differential equations. This representation allows us to use the Markov proper...