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arXiv · 1504.01868

Fluctuations of the Euler-Poincar\'e characteristic for random spherical harmonics

Valentina Cammarota·Domenico Marinucci·Igor Wigman
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Abstract

In this short note, we build upon some recent results to present a precise expression for the asymptotic variance of the Euler-Poincar\'e characteristic for the excursion sets of Gaussian eigenfunctions on ${\cal S}^2$.

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Valentina Cammarota, Domenico Marinucci, Igor Wigman. 2015-04-08. Fluctuations of the Euler-Poincar\'e characteristic for random spherical harmonics. https://doi.org/10.1090/proc/13299

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