The study of random Fourier series, linear combinations trigonometric functions whose coefficients are independent (in our case Gaussian) variables with polynomially bounded means and standard deviations, dates back to Norbert Wiener in one the original constructions Brownian motion. A geometric generalization -- relevant e.g.\ Euclidean quantum field theory an infrared cutoff is Gaussian eigen...

We wish to discriminate spike sequences based on the degree of irregularity. For this purpose, we search for a rational expressions of quadratic functions of consecutive interspike intervals that efficiently measures spiking irregularity. Under natural assumptions, the functional form of the coefficient can be parameterized by a single parameter. The parameter is determined so as to maximize th...

Implantable devices capable of several modes of therapy will require differentiation of various ventricular tachyarrhythmias. Three methods of arrhythmia analysis, magnitude-squared coherence, ventricular rate, and irregularity of cycle length were performed for 45 episodes of induced ventricular tachyarrhythmia in 15 patients. Differentiation of monomorphic ventricular tachycardia from polymor...