An Iterated Sequential Transport Approximation for Anisotropic Spectral Moments

Conditional exponential moments for iterated Wiener integrals

We provide sharp exponential moment bounds for (Stratonovich) iterated stochastic integrals under conditioning by certain small balls, including balls in certain HH older-like norms of exponent greater than 1=3. The proof uses a control of the variation of the L evy area, under conditioning. The results are applied to the computation of the Onsager-Machlup functional of diiusion processes with ...

Conservation of the spectral moments in the n-pole approximation

A formulation of the Green’s function method is presented in the n-pole approximation. Without referring to a specific model we give a general scheme of calculations that easily permits the computation of the “single-particle” Green’s function in terms of the energy matrix. A theorem is proved which states that the moments of the spectral density function are conserved up to the order 2(n−l+1),...

Discrete spectral shift in an anisotropic universe

In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantise a massive scalar field we show that a discrete energy spectrum shift occurs. The length scale associated with the geometry provides the energy scale by which the spectrum is shifted. The β(p, q) coefficient for the Bogolubov t...

Approximation of Transport Equations by Matrix Equations and Sequential Sampling

An Approximation Method for Contaminant Transport Equation

There are few techniques available to numerically solve contaminant transport equation. In this paper we show that the Sinc-Galerkin method is a very effective tool in numerically solving contaminant transport equation. The numerical results demonstrate the reliability and efficiency of using the Sinc-Galerkin method to solve such problems.