منابع مشابه
Large deviations for the zero set of an analytic function with diffusing coefficients
The hole probability that the zero set of the time dependent planar Gaussian analytic function fC(z, t) = ∞ ∑ n=0 an(t) zn √ n! , (1) where an(t) are i.i.d. complex valued Ornstein-Uhlenbeck processes, does not intersect a disk of radius R for all t ∈ [0, T ] decays like exp(−TecR2). This result sharply differentiates the zero set of fC from a number of canonical evolving planar point processes...
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ژورنال
عنوان ژورنال: Mathematical Notes
سال: 2020
ISSN: 0001-4346,1573-8876
DOI: 10.1134/s0001434620030189