Events

Jeremiah Buckley (KCL): Sampling properties of the zeroes of the GEF

Centre for Probability, Statistics and Data Science 

Date: 10 December 2025   Time: 13:00 - 14:00    Add this event to your calendar 

Location: MB501, School of Mathematical Sciences, QMUL

The GEF is a random entire function, which is (essentially) the only holomorphic Gaussian process whose zeroes are invariant with respect to automorphisms of the plane (i.e., rotations and translations). Moreover the zeroes are locally repulsive point process, and therefore more rigid than the Poisson process. This makes them a good candidate for a random sampling set, that is, given the values a function takes at the points in the process we should be able to recover the function in a stable way. I will discuss the sampling properties of the zeroes in the Fock space. This is joint work with Felipe Marceca and Joaquín Singer.

Contact:  Alexander Gnedin
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Updated by: Kostas Papafitsoros