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arXiv · 2103.08089

Small scale equidistribution of random waves generated by an unfair coin flip

Miriam Leonhardt·Melissa Tacy
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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.

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Miriam Leonhardt, Melissa Tacy. 2021-03-15. Small scale equidistribution of random waves generated by an unfair coin flip. https://arxiv.org/abs/2103.08089

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