Lower estimates for the expected Betti numbers of random real hypersurfaces

DOI10.1112/jlms/jdu018zbMath1326.14139arXiv1303.3035OpenAlexW3098006848MaRDI QIDQ2874651

Jean-Yves Welschinger, Damien Gayet

Publication date: 8 August 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3035

zbMATH Keywords

Betti numbersGaussian probability measurereal algebraic hypersurfacerandom symmetric matricesrandom hypersurface

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Kähler manifolds (32Q15) Topology of real algebraic varieties (14P25)

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Cites Work

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• What is the total Betti number of a random real hypersurface?
• Real algebraic manifolds
• On the number of nodal domains of random spherical harmonics
• On the average number of real roots of a random algebraic equation

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