Planck-scale number of nodal domains for toral eigenfunctions
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DOI: 10.1016/j.jfa.2020.108663
Abstract: We study the number of nodal domains in balls shrinking slightly above the Planck scale for "generic" toral eigenfunctions. We prove that, up to the natural scaling, the nodal domains count obeys the same asymptotic… read more here.
Keywords: toral eigenfunctions; nodal domains; planck scale; scale number ... See more keywords