On the density of the supremum of the solution to the linear stochastic heat equation

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We consider the 2D stochastic Navier–Stokes equations driven by noise that have the regularity of space-time white noise but don’t exactly coincide with it. We show that, provided that the intensity of the noise is sufficiently weak at high frequencies, th ...

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We consider nonlinear parabolic stochastic PDEs on a bounded Lipschitz domain driven by a Gaussian noise that is white in time and colored in space, with Dirichlet or Neumann boundary condition. We establish existence, uniqueness and moment bounds of the r ...

On the density of the supremum of the solution to the linear stochastic heat equation

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Positivity bounds on electromagnetic properties of media

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Information Spectrum Converse for Minimum Entropy Couplings and Functional Representations

Directed mean curvature flow in noisy environment

Resource aware pricing for electric vehicle charging

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Stability of Image-Reconstruction Algorithms

Parabolic stochastic PDEs on bounded domains with rough initial conditions: moment and correlation bounds