Results 221 to 230 of about 68,902 (260)

White Noise Stochastic BVP’s and Cimmino’s Theory

2001
The analysis of the Molodensky problem in spherical approximation can be reduced to the simple Dirichlet problem. If the boundary data are noisy (white noise), it is requested to explain what is the meaning of the solution of a B.V.P. with data of this kind.
SANSO', FERNANDO, VENUTI, GIOVANNA
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General Theory of White Noise Analysis

2000
White noise analysis was initiated by T. Hida in 1975. This is an infinite dimensional stochastic analysis, the basic idea of which is to view Wiener functionals as functionals of white noise. More precisely, let Ω denote the space of all continuous functions f on ∝, null at 0, equipped with the topology of uniform convergence on bounded sets.
Zhi-yuan Huang, Jia-an Yan
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External non-white noise: Theory and experiment

Physica A: Statistical Mechanics and its Applications, 1982
Abstract We consider a system under the influence of an external gaussian noise with a flat spectrum and finite cut-off frequency. The stationery properties of the system are studied as a function of the correlation time of the noise. Theoretical predictions based on an expansion in powers of the correlation time are corroborated by experimental ...
J.M. Sancho, M. San Miguel, H. Yamazaki, T. Kawakubo   +3 more
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CHARACTERIZATION THEOREMS IN GEGENBAUER WHITE NOISE THEORY

Quantum Probability and Related Topics, 2008
The main purpose of this paper is to derive a general structure of Gegenbauer white noise analysis as a counterpart class of non-Levy white noise. Namely, we consider, on an appropriate space of distributions, N ′ β , a Gegenbauer white noise measure, Gβ , and construct a nuclear triple (Nβ) ⊂ L2(N ′ β ,Gβ) ⊂ (Nβ)∗ of test and generalized functions.
A. BARHOUMI, A. RIAHI, H. OUERDIANE
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SOME OF FUTURE DIRECTIONS OF WHITE NOISE THEORY

Quantum Information and Computing, 2006
Some of future directions of white noise analysis will be presented. First, we shall revisit the space of generalized white noise functionals with a view point of analogue calculus. It is reasonable, in fact, not too large, once the system of variables is taken to be white noise {Ḃ(t), t ∈ R1}.
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White-Noise Analysis of a Neuron Chain: An Application of the Wiener Theory

Science, 1972
The Wiener theory of nonlinear system identification was applied to a three-stage neuron chain in the catfish retina in order to determine the functional relationship between the artificial polarization of the horizontal cell membrane potential and the resulting discharge of the ganglion cell.
P Z, Marmarelis, K, Naka
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White noise and heating of quantum field theory in an open system

Physical Review D, 1991
The time evolution of the density matrix of a relativistic quantum field theory coupled to random noise is discussed. Using path-integral techniques, we solve analytically for the density matrix of a system of free fields coupled to noise. We show that in the limit of large time the density matrix evolves to a thermal state and we compute the ...
, Cloutier, , Semenoff
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Characteristics of Response to Nonstationary White Noise: Theory

Journal of Engineering Mechanics, 1989
New methods of analysis are developed to study characteristics of the response of linear systems to nonstationary stochastic input. An envelope of the response based on the Hilbert transformation of the process is used, and derivations are made with respect to stationary response properties.
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White noise approach to interacting quantum field theory

Recent Developments in Stochastic Analysis and Related Topics, 2004
In this paper we present a general white noise approach to interacting quantum field theory by Hamiltonian strategy. Applying it into two models-P(4)2 and (4 ) : quantum fields we prove the existence as generalized operators under an appropriate framework of white noise analysis. In addition, some dynamical properties of quantum fields are given.
Zhiyuan Huang, Guanglin Rang
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Effects of multiplicative white and colored noise in dye-laser theory

Physical Review A, 1990
The different roles played by multiplicative white and colored noise in a single-mode dye-laser model are investigated through the concept of first-passage-time (FPT) distributions. An analytic result for the skewness of the FPT distributions is presented and compared with experimental measurements and numerical simulations.
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