On the expected number of zeros of a random harmonic polynomial
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- by Wenbo V. Li and Ang Wei PDF
- Proc. Amer. Math. Soc. 137 (2009), 195-204 Request permission
Abstract:
We study the distribution of complex zeros of Gaussian harmonic polynomials with independent complex coefficients. The expected number of zeros is evaluated by applying a formula of independent interest for the expected absolute value of quadratic forms of Gaussian random variables.References
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Additional Information
- Wenbo V. Li
- Affiliation: Department of Mathematical Sciences, 517B Ewing Hall, University of Delaware, Newark, Delaware 19716
- Email: wli@math.udel.edu
- Ang Wei
- Affiliation: Department of Mathematical Sciences, 308 Ewing Hall, University of Delaware, Newark, Delaware 19716
- Email: wei@math.udel.edu
- Received by editor(s): December 14, 2007
- Published electronically: August 7, 2008
- Additional Notes: The first author was partially supported by an NSF grant DMS-0505805.
- Communicated by: Michael T. Lacey
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 195-204
- MSC (2000): Primary 34F05, 60G15; Secondary 26C10
- DOI: https://doi.org/10.1090/S0002-9939-08-09555-5
- MathSciNet review: 2439441