Zeros of Gaussian power series with dependent random variables

DOI10.1215/00192082-8720490zbMath1451.30007OpenAlexW3091291422MaRDI QIDQ2208483

Marc M. Mpanda, Joseph Nzabanita, Safari Mukeru, Mmboniseni P. Mulaudzi

Publication date: 3 November 2020

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1600221945

zbMATH Keywords

zerospoint processrandom power series

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Random power series in one complex variable (30B20)

Related Items (2)

Expected number of zeros of random power series with finitely dependent Gaussian coefficients ⋮ Zeros of Gaussian power series, Hardy spaces and determinantal point processes

Cites Work

• Correlation functions for zeros of a Gaussian power series and Pfaffians
• Selected aspects of fractional Brownian motion.
• Average number of real zeros of random algebraic polynomials defined by the increments of fractional Brownian motion
• Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zeros of Gaussian power series with dependent random variables