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math.CV2013★ 3 cited
Topics in the Value Distribution of Random Analytic Functions
Alon Nishry
This thesis is concerned with the behavior of random analytic functions. In particular, we are interested in the value distribution of Taylor series with independent random coeffic…
math.CV2013
Log-integrability of Rademacher Fourier series, with applications to random analytic functions
Fedor Nazarov, Alon Nishry, Mikhail Sodin
We prove that any power of the logarithm of Fourier series with random signs is integrable. This result has applications to the distribution of values of random Taylor series, one…