Variation of the Nazarov-Sodin constant for random plane waves and arithmetic random waves
- đ¤ Speaker: Igor Wigman (King's College, London) đ Website
- đ Date & Time: Tuesday 23 January 2018, 16:15 - 17:15
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
Abstract
This is joint work with Par Kurlberg. We prove that the Nazarov-Sodin constant, which up to a natural scaling gives the leading order growth for the expected number of nodal components of a random Gaussian field, genuinely depends on the field. We then infer the same for “arithmetic random waves”, i.e. random toral Laplace eigenfunctions.
Series This talk is part of the Probability series.
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Tuesday 23 January 2018, 16:15-17:15