<i>Nonlinear Problems in Random Theory</i>

TLDR

The author discusses nonlinear processes across physics, mathematics, engineering, physiology, and communication, noting a growing interest in random phenomena that led to a lecture series expanding from a few to fifteen talks covering topics such as alpha‑rhythm modeling with random nonlinear oscillators and applications to statistical mechanics of gases. The study employs recorded random shot effects as inputs to test nonlinear circuits. The resulting work is new and tentative, and the author had to supplement the course by writing over the material with Prof.

Abstract

A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory.From the preface:For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in particular of the alpha rhythm, it has occurred to me to use the model of a system of random nonlinear oscillators excited by a random input...At the beginning we had contemplated a series of only four or five lectures. My ideas developed pari passu with the course, and by the end of the term we found ourselves with a set of fifteen lectures. The last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases. This work is both new and tentative, and I found that I had to supplement my course by the writing over of these with the help of Professer Y. W. Lee.