Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter
Название: Crystallization of Random Trigonometric Polynomials
Авторы: Farmer D., Yerrington M.
We give a precise measure of the rate at which repeated differentiation of a random trigonometric polynomial causes the roots of the function to approach equal spacing. This can be viewed as a toy model of crystallization in one dimension. In particular we determine the asymptotics of the distribution of the roots around the crystalline conﬁguration and ﬁnd that the distribution is not Gaussian