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On the expected number of zeros of a random harmonic polynomial
Author(s):
Wenbo
V.
Li;
Ang
Wei
Journal:
Proc. Amer. Math. Soc.
137
(2009),
195-204.
MSC (2000):
Primary 34F05, 60G15;
Secondary 26C10
Posted:
August 7, 2008
MathSciNet review:
2439441
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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.
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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
DOI:
10.1090/S0002-9939-08-09555-5
PII:
S 0002-9939(08)09555-5
Received by editor(s):
December 14, 2007
Posted:
August 7, 2008
Additional Notes:
The first author was partially supported by an NSF grant DMS-0505805.
Communicated by:
Michael T. Lacey
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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