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arXiv · 1510.08500

Topologies of nodal sets of random band limited functions

Peter Sarnak·Igor Wigman
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Abstract

It is shown that the topologies and nestings of the zero and nodal sets of random (Gaussian) band limited functions have universal laws of distribution. Qualitative features of the supports of these distributions are determined. In particular the results apply to random monochromatic waves and to random real algebraic hyper-surfaces in projective space.

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Peter Sarnak, Igor Wigman. 2015-10-28. Topologies of nodal sets of random band limited functions. https://arxiv.org/abs/1510.08500

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