The order of the decay of the hole probability for Gaussian random SU(m+1) polynomials

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P. Griffith and J. Harris,
1994
Earlier work this paper cites.
A. Edelman and E. Kostlan, How many zeros of a random polynomial are real?,
1995
Earlier work this paper cites.
J. Hannay
1996
Earlier work this paper cites.
P. Bleher, B. Shiffman, and S. Zelditch, Universality and scaling of correlations between zeros on complex manifolds,
2000
Earlier work this paper cites.

M. Sodin,
2000
Cited alongside, same era.
A. Dembo, B. Poonen, Q. M. Shao, and O. Zeitouni, Random polynomials having few or no zeros,
2002
Cited alongside, same era.
W. Li, Q. Shao,
2002
Cited alongside, same era.
M. Sodin and B. Tsirelson, Random Complex Zeros I: Asymptotic normality,
2004
Cited alongside, same era.

Y. Peres, B. Virag, Zeros of i.i.d. Gaussian powerseries: a conformally invariant determinental process,
2005
Later among the works it cites.
M. Sodin and B. Tsirelson, Random Complex Zeros III, Decay of the hole probability,
2005
Later among the works it cites.
M. Krishnapur, Zeros of Random Analytic Functions, e-print Archive, ArXiv:math.PR/0607504, (2006)
2006
Later among the works it cites.
S. Zrebiec, The zeros of Gaussian random holomorphic functions on
Original
2006
Later among the works it cites.