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{\Large Department of Mathematics, BGU}

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{\Huge BGU Probability and Ergodic Theory  (PET) seminar}\\[0.2\baselineskip]

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\textbf{On} \emph{Tuesday, December 26, 2017}
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\textbf{At} \emph{11:00 -- 12:00}
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\textbf{In} \emph{201}

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{\large\scshape Nadav Yesha 
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  (King's College London)
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will talk about
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{\Large\bfseries CLT for small scale mass distribution of toral Laplace eigenfunctions\par}
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\textsc{Abstract:}
In this talk we discuss the fine scale \$L\^{}2\$-mass distribution of toral Laplace eigenfunctions with respect to random position. For the 2-dimensional torus, under certain flatness assumptions on the Fourier coefficients of the eigenfunctions and generic restrictions on energy levels, both the asymptotic shape of the variance and the limiting Gaussian law are established, in the optimal Planck-scale regime. We also discuss the 3-dimensional case, where the asymptotic behaviour of the variance is analysed in a more restrictive scenario. This is joint work with Igor Wigman.








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