caa a22 4500 467891877 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10955-006-9126-7 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9126-7 Crystallization of Random Trigonometric Polynomials [Elektronische Daten] [David Farmer, Mark Yerrington] 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. Springer Science + Business Media, Inc., 2006 Random polynomial nationallicence crystallization nationallicence pair correlation of zeros nationallicence Farmer David American Institute of Mathematics, Palo Alto, USA aut Yerrington Mark American Institute of Mathematics, Palo Alto, USA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1219-1230 0022-4715 123:6<1219 2006 123 10955 https://doi.org/10.1007/s10955-006-9126-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9126-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Farmer David American Institute of Mathematics, Palo Alto, USA aut NATIONALLICENCE 700 1- Yerrington Mark American Institute of Mathematics, Palo Alto, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/6(2006-06-01), 1219-1230 0022-4715 123:6<1219 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer