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arXiv · 1606.05766

Volume distribution of nodal domains of random band-limited functions

Dmitry Beliaev·Igor Wigman
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Abstract

We study the volume distribution of nodal domains of random band-limited functions on generic manifolds, and find that in the high energy limit a typical instance obeys a deterministic universal law, independent of the manifold. Some of the basic qualitative properties of this law, such as its support, monotonicity and continuity of the cumulative probability function, are established.

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BibTeXRIS

Dmitry Beliaev, Igor Wigman. 2016-06-18. Volume distribution of nodal domains of random band-limited functions. https://arxiv.org/abs/1606.05766

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