The lemniscate tree of a random polynomial

DOI10.5802/aif.3377zbMath1476.30029arXiv1806.00521OpenAlexW3153528313MaRDI QIDQ2027745

Boris Hanin, Erik Lundberg, Michael Epstein

Publication date: 28 May 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00521

zbMATH Keywords

binary treelemniscaterandom polynomialanalytic combinatorics

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Topology of real algebraic varieties (14P25) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items

Geometric combinatorics of polynomials. I: The case of a single polynomial ⋮ Inradius of random lemniscates ⋮ Some recent results on the geometry of complex polynomials: the Gauss-Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence

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