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Large deviations for the zero set of an analytic function with diffusing coefficients

Year: 2005
Type: preprint
Abstract: The "hole probability" that the zero set of the time dependent planar Gaussian analytic function f(z,t) = sum_(n=0)^infty a_n(t) z^n/sqrt(n!), where a_n(t) are i.i.d. complex valued Ornstein-Uhlenbeck processes, does not intersect a disk of radius R for all 0
Language: English
Open Access status: green
OpenAlex ID: W1842886571
Cites: 4
Cited by: 5
Related to: 10