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Journal Article
SMALL-SCALE EQUIDISTRIBUTION OF RANDOM WAVES GENERATED BY AN UNFAIR COIN FLIP
2023
Overview
In this paper we study the small-scale equidistribution property of random waves whose coefficients are determined by an unfair coin. That is, the coefficients take value
$+1$
with probability p and
$-1$
with probability
$1-p$
. Random waves whose coefficients are associated with a fair coin are known to equidistribute down to the wavelength scale. We obtain explicit requirements on the deviation from the fair (
$p=0.5$
) coin to retain equidistribution.
Publisher
Cambridge University Press
Subject
