Pfaffian Point Processes and corresponding gap probabilities
Mihail Poplavskyi (King’s College London, Department of Mathematics)
Stochastic point processes are natural models of complex particle systems. In this talk we discuss point processes with a special structure of correlation functions, called Pfaffian Point Processes (PPP). We then give several examples of PPP such as the Glauber dynamics of Ising spin model, ensembles of random matrices with orthogonal symmetry, random Kac series, etc. In the second part of the talk we present recent results on gap probabilities for PPP and their applications to persistence probabilities for a class of stochastic models.