Evaluation of constants in conformal representation
Samuel I. Plotnick, Thomas C. Benton · Quarterly of Applied Mathematics · 1954
where A is the shaded area shown in Fig. 1, i.e. (25>For the process A, fen tan-Mi^) I ( 26)As 7 approaches one, j+(0) becomes infinite.This will be true not only for zero but for all x.The implication is plain.The Fokker-Planck process is a degenerate process in which the one sided current density of the system is infinite.A Fokker-Planck model for the velocity motion of a colloid particle would describe an infinite number of changes of direction of the particle per unit time.Such a model used to describe voltage fluctuations would imply an infinite number of polarity reversals per second.Since a process Ay will afford the same correlation function and equilibrium distribution, and finite polarity reversal frequency, it is suggested that such a model may better describe noise, and that the number of zero crossings be regarded as an independent macroscopic physical quantity on an equal footing with t0 , E0 .