Seminar series
Date
Mon, 30 Apr 2012
Time
15:45 -
16:45
Location
Oxford-Man Institute
Speaker
MISHA SODIN
Organisation
Tel Aviv University
We find the order of growth of the typical number of components of zero sets of smooth random functions of several real variables. This might be thought as a statistical version of the (first half of) 16th Hilbert problem. The primary examples are various ensembles of Gaussian real-valued polynomials (algebraic or trigonometric) of large degree, and smooth Gaussian functions on the Euclidean space with translation-invariant distribution.
Joint work with Fedor Nazarov.