A suggested modification of noise theory
Abstract: A class of stationary, equilibrium, Markoff processes is demonstrated all of which have the same equilibrium distribution, , and correlation function differing from each other in the number of zero crossings of the system per second. The processes are described by an integral equation characterized by a parameter . As approaches 1, the integral equation passes over into the Fokker-Planck equation . Since the number of zero crossings per second of the system becomes infinite as goes to one, the degenerate nature of the Fokker-Planck process is made evident.
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