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Paper detail

Quantitative equidistribution properties of toral eigenfunctions

We prove quantitative equidistribution properties for orthonormal bases of eigenfunctions of the Laplacian on the rational $d$-torus. We show that the rate of equidistribution of such eigenfunctions is of polynomial decay. We also prove that equidistribution of eigenfunctions holds for symbols supported in balls with a radius shrinking at a polynomial rate.

preprint2015arXivOpen access
Hamid HezariGabriel Riviere
math.APmath-phmath.MPmath.SP
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Hamid HezariGabriel Riviere

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