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  • A martingale on the zero-set of a holomorphic function [Elektronski vir]
    Kink, Peter
    We give a simple probabilistic proof of the classical fact from complex analysis that the zeros of a holomorphic function of several variables are never isolated and that they are not contained in ... any compact set. No facts from complex analysis are assumed other than the Cauchy-Riemann definition. From stochastic analysis only the Ito formula and the standard existence theorem for stochastic differential equations are required.
    Source: Electronic communications in probability [Elektronski vir]. - ISSN 1083-589X (Vol. 13, 2008, str. 606-613)
    Type of material - e-article
    Publish date - 2008
    Language - english
    COBISS.SI-ID - 15016025

    Link(s):

    http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=2054

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