Centre of Excellence in

ANALYSIS AND DYNAMICS RESEARCH

(2014-2019)

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Seminar 10 March 2008: Abstracts

Boris Tsirelson (Tel Aviv University): Moderate deviations for random fields and random complex zeroes

Recent results on moderate deviations for random complex zeroes [Nazarov, Sodin, Volberg - arXiv:0707.3863] are a challenge for probability theory, since they involve complex analysis, in contrast to asymptotic normality obtained via random fields [Sodin, Tsirelson - arXiv:math.CV/0210090]. Taking up the challenge, I deduce moderate deviations for random complex zeroes from a new general theorem on moderate deviations for random fields. As a by-product, the same general theorem gives the asymptotic normality, avoiding the diagram techniques of [Sodin, Tsirelson]. (See also [Tsirelson - arXiv:0801.1050].)

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