The arc length and topology of a random lemniscate

DOI10.1112/jlms.12086zbMath1417.60040arXiv1610.09791OpenAlexW2767246536MaRDI QIDQ4600964

Erik Lundberg, Koushik Ramachandran

Publication date: 18 January 2018

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

Full work available at URL: https://arxiv.org/abs/1610.09791

zbMATH Keywords

Gaussian coefficientspolynomial lemniscateKac ensemble

Mathematics Subject Classification ID

Random fields (60G60) Integral geometry (53C65) Polynomials and rational functions of one complex variable (30C10)

Related Items (4)

Expected number and distribution of critical points of real Lefschetz pencils ⋮ Inradius of random lemniscates ⋮ The lemniscate tree of a random polynomial ⋮ Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence

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