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SMALL-SCALE EQUIDISTRIBUTION OF RANDOM WAVES GENERATED BY AN UNFAIR COIN FLIP
- Source :
- Journal of the Australian Mathematical Society. 114:222-252
- Publication Year :
- 2021
- Publisher :
- Cambridge University Press (CUP), 2021.
-
Abstract
- 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.
Details
- ISSN :
- 14468107 and 14467887
- Volume :
- 114
- Database :
- OpenAIRE
- Journal :
- Journal of the Australian Mathematical Society
- Accession number :
- edsair.doi...........0f10c9f8c9cca424faec1248ead758a5