"Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between diffusion stochastic processes, stochastic differential equations and the fractional infinitesimal operators. The draft of t…
"Diffusion Processes, Jump Processes, and Stochastic Differential Equations provides a compact exposition of the results explaining interrelations between diffusion stochastic processes, stochastic differential equations and the fractional infinitesimal operators. The draft of t…
This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is whi…
1. Preliminaries and discrete parameter white noise. 1.1. Preliminaries. 1.2. Discrete parameter white noise. 1.3. Invariance of the measure [symbol]. 1.4. Harmonic analysis arising from O(E) on the space of functional of Y = {Y (n)}. 1.5. Quadratic forms. 1.6. Differential oper…
This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is whi…
