Random complex zeroes, III. Decay of the hole probability

Israel Journal of Mathematics

Volumn 147, Issue , 2005, Pages 371-379

  Sodin, Mikhail ^a   Tsirelson, Boris ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26244460314     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02785373     Document Type: Article

References (6)

1. L. V. Ahlfors, Complex Analysis, 3rd edition, McGraw-Hill, New York, 1979.
2. P. G. Forrester and G. Honner, Exact statistical properties of complex random polynomials, Journal of Physics. A. Mathematical and General 32 (1999), 2961-2981.
3. B. Jancovici, J. L. Lebowitz and G. Manificat, Large charge fluctuations in classical Coulomb systems, Journal of Statistical Physics 72 (1993), 773-787.
4. Y. Peres and B. Virag, Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process, arXiv: math.PR/0310297; Acta Mathematica, to appear.
5. M. Sodin, Zeros of Gaussian analytic functions, Mathematical Research Letters 7 (2000), 371-381.
6. M. Sodin and B. Tsirelson, Random complex zeroes, I. Asymptotic normality, Israel Journal of Mathematics 144 (2004), 125-149.