Abstract
The 'hole probability' that a random entire function ψ(z) = Σk=0∞ ζk zk/ √k!, where ζ0, ζ1,... are Gaussian i.i.d. random variables, has no zeroes in the disc of radius r decays as exp(-cr 4) for large r.
Original language | English |
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Pages (from-to) | 371-379 |
Number of pages | 9 |
Journal | Israel Journal of Mathematics |
Volume | 147 |
DOIs | |
State | Published - 2005 |