The arc length and topology of a random lemniscate
Author:
Affiliation:
1. Department of Mathematical Sciences; Florida Atlantic University; Boca Raton FL 33431 USA
2. Department of Mathematics; Oklahoma State University; Stillwater OK 74074 USA
Publisher
Wiley
Subject
General Mathematics
Link
http://onlinelibrary.wiley.com/wol1/doi/10.1112/jlms.12086/fullpdf
Reference25 articles.
1. Level Sets and Extrema of Random Processes and Fields
2. Percolation of random nodal lines;Beffara;Publ. Math. Inst. Hautes Études Sci.,2017
3. D. Beliaev S. Muirhead I. Wigman Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials 2017
4. The arc length of the lemniscate p(z)|=1|;Borwein;Proc. Amer. Math. Soc.,1995
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1. Inradius of random lemniscates;Journal of Approximation Theory;2024-05
2. On the number of components of random polynomial lemniscates;Electronic Journal of Probability;2024-01-01
3. Some recent results on the geometry of complex polynomials: the Gauss–Lucas theorem, polynomial lemniscates, shape analysis, and conformal equivalence;Complex Analysis and its Synergies;2021-05-17
4. Asymptotics for the Expected Number of Nodal Components for Random Lemniscates;International Mathematics Research Notices;2020-06-10
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