CENTRAL LIMIT THEOREM FOR PLANCK‐SCALE MASS DISTRIBUTION OF TORAL LAPLACE EIGENFUNCTIONS

DOI10.1112/S0025579319000093zbMath1451.60033arXiv1712.03318OpenAlexW3106300357MaRDI QIDQ5376524

Igor Wigman, Nadav Yesha

Publication date: 13 May 2019

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03318

zbMATH Keywords

central limit theoremPlanck scaletoral Laplace eigenfunctionsBourgain's eigenfunctions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (5)

Fluctuations of nodal sets on the 3-torus and general cancellation phenomena ⋮ Small scale equidistribution for a point scatterer on the torus ⋮ Planck-scale number of nodal domains for toral eigenfunctions ⋮ On the random wave conjecture for dihedral Maaß forms ⋮ The defect of toral Laplace eigenfunctions and arithmetic random waves

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