We present an abstract framework for analyzing the weak error of fully discrete approximation schemes for linear evolution equations driven by additive Gaussian noise. First, an abstract representation formula is derived for sufficiently smooth test functions. The formula is then applied to the wave equation, where the spatial approximation is done via the standard continuous finite element met...

A bstract In this work we provide a method to study the entanglement entropy for non-Gaussian states that minimize energy functional of interacting quantum field theories at arbitrary coupling. To end, build class variational trial wavefunctionals with help exact nonlinear canonical transformations. The calculability bonanza shown by these ansatze allows us compute using prescription ground sta...

Abstract In recent years, there has been considerable interest in the use of CDMA in mobile communications. Bit error rate is one of the most important parameters in the evaluation of CDMA systems. In this paper, we develop a technique to find an accurate approximation to the probability of bit error for asynchronous direct–sequence code division multiple–access (DS/CDMA) systems by modeling th...

A Rytov series approximation for rough surface scattering is presented for an analytical description of the close relation of topographic statistics and topographic scattering. The Rytov series approximation is not subject to the stringent restrictions that apply to the Born series approximation. Numerical calculations of the Rytov series approximation are conducted for several benchmark models...

We start by clarifying the terms which appear in the title. For a given theory of selfinteracting quantum fields, by Gaussian approximation we mean the Gaussian part of the interacting measure. By mean field approximation we understand the leading term of the expansion given in [1, 2] and by variational approximation we understand the old variational technique performed with some particular tri...

We discuss in this paper the strong convergence for weighted sums of negatively orthant dependent (NOD) random variables by generalized Gaussian techniques. As a corollary, a Cesaro law of large numbers of i.i.d. random variables is extended in NOD setting by generalized Gaussian techniques.

the threshold of weak and strong synchronization in a coupled chaotic gaussian map isdemonstrated by using the pyragas’ terminology. however, vieira and lichtenberg have shown that thepyragas’ criteria for weak and strong synchronization cannot be used for all chaotic systems. in this articlewe demonstrated some interesting synchronization behavior of two coupled chaotic systems with some zeroa...

The Eliashberg theory of superconductivity is based on a dynamical electron-phonon interaction as opposed to static present in BCS theory. standard derivation an equation motion approach, which incorporates certain approximations such Migdal's approximation for the pairing vertex. In this paper we provide functional-integral-based and also consider its Gaussian-fluctuation extension. functional...

In this paper, a correntropy-based evolving fuzzy neural system (correntropy-EFNS) is proposed for approximation of nonlinear systems. Different from the commonly used meansquare error criterion, correntropy has a strong outliers rejection ability through capturing the higher moments of the error distribution. Considering the merits of correntropy, this paper brings contributions to build EFNS ...