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Convergence of frozen Gaussian approximation for high frequency wave propagation
Convergence of frozen Gaussian high frequency wave propagation
2011/2/25
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis. In this paper, fo...
Noise kernel for a quantum field in Schwarzschild spacetime under the Gaussian approximation
quantum field Schwarzschild spacetime Gaussian approximation
2010/12/20
A method is given to compute the noise kernel, defined as the symmetrized con-nected 2-point function of the stress tensor, for the conformally invariant scalar field in the Hartle-Hawking state in Sc...
On the Gaussian approximation of vector-valued multiple integrals
Central limit theorem Cumulants Malliavin calculus Multiple integrals
2010/12/1
By combining the findings of two recent, seminal papers by Nualart, Peccati and Tudor, we get that the convergence in law of any sequence of vector-valued multiple integrals Fn towards a centered Gaus...