Large deviations for non-linear radonifications of white noise

1989 ◽  
pp. 230-236 ◽  
Author(s):  
Włodzimierz Smoleński ◽  
Rafał Sztencel
Keyword(s):  
Large Deviations ◽  
White Noise ◽  
Non Linear

Measurement of Wiener kernels

1984 ◽  
Vol 16 (1) ◽  
pp. 11-12
Author(s):  
Yoshifusa Ito
Keyword(s):  
Differential Operator ◽  
Mathematical Models ◽  
White Noise ◽  
Linear Systems ◽  
Main Part ◽  
The Other ◽  
Linear Functionals ◽  
Wiener Kernels ◽  
Non Linear ◽  
Non Linear Systems

Since the late 1960s Wiener's theory on the non-linear functionals of white noise has been widely applied to the construction of mathematical models of non-linear systems, especially in the field of biology. For such applications the main part is the measurement of Wiener's kernels, for which two methods have been proposed: one by Wiener himself and the other by Lee and Schetzen. The aim of this paper is to show that there is another method based on Hida's differential operator.

scholarly journals Peak response of non-linear oscillators under stationary white noise

2007 ◽  
Vol 85 (5-6) ◽  
pp. 255-263 ◽  
Author(s):  
G. Muscolino ◽  
A. Palmeri
Keyword(s):  
White Noise ◽  
Peak Response ◽  
Non Linear
Sign in / Sign up

Export Citation Format

Share Document