|
|||||
 |
|
|
|
|
|
Hole probabilities of
$\mathrm{SU}(m+1)$ Gaussian random polynomials
Junyan Zhu |
|
Vol. 7 (2014), No. 8, 1923–1967
|
Abstract |
|
In this paper, we study hole probabilities of Gaussian random polynomials of degree over a polydisc . When , we find asymptotic formulas and the decay rate of . In dimension one, we also consider hole probabilities over some general open sets and compute asymptotic formulas for the generalized hole probabilities over a disc . |
Keywords
hole probability, asymptotic, SU(m+1) polynomial
|
Mathematical Subject Classification 2010
Primary: 32A60, 60D05
|
Milestones
Received: 2 April 2014
Revised: 13 August 2014
Accepted: 23 September 2014
Published: 5 February 2015
|
Authors |
| Junyan Zhu | |
| Department of Mathematics Johns Hopkins University 3400 N. Charles St. Krieger 404 Baltimore, MD 21218 United States |
|
|
