Zeroes of a Gaussian analytic function on the hyperbolic plane

Since their introduction by Odile Macchi in 1975 to model the spatial distribution of fermions and bosons in optical beams, determinantal and permanental point processes have received a lot of attention due to their connections with random matrices, statistical physics and more recently signal processing and machine learning, where the repulsive properties of DPP allow for instance to improve the efficiency of Monte Carlo methods. Quantum physics and signal processing are also deeply related through time-frequency analysis, which provides tools to understand complex optical systems.

The purpose of the workshop is to bring together physicists, mathematicians and specialists of signal processing interested in these topics, and to establish a modern dictionary allowing for cross-fertilization between the different disciplines. It is the continuation of a previous workshop held in Lille in 2019.

The event is held over two weeks, the first being devoted to introductory mini-courses, and the second to research talks. It is part of the semester "PhysMathLyon".

Mini-courses :

Research talks :

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Organizing committee : Rémi Bardenet, Jérémie Bouttier, Pascal Degiovanni, Patrick Flandrin, Adrien Hardy, Mylène Maïda, Grégory Schehr.

Support : LABEX MILYON, ERC BlackJack, ANR Dimers.