Differential Entropy of the Conditional Expectation under Gaussian Noise

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We consider a wide class of families (Fm)m is an element of N of Gaussian fields on 1Cd = Rd/Zd defined by Fm : x-* 1 _ X p|Am| l lambda ei2 pi lambda is an element of Lambda m where the l lambda's are independent standard normals and Am is the ...

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We give an extension of Le's stochastic sewing lemma. The stochastic sewing lemma proves convergence in

L_m

of Riemann type sums

\sum _{[s,t] \in \pi } A_{s,t}

for an adapted two-parameter stochastic process A, under certain conditions on the moments o ...

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

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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 ...

Differential Entropy of the Conditional Expectation under Gaussian Noise

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