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Explore concentration inequalities for Poisson U-statistics in this 49-minute lecture by Anna Gusakova at the Hausdorff Center for Mathematics. Delve into the world of Poisson functionals and their significance in stochastic geometry. Learn about the definition of Poisson functionals as random variables and their relation to measurable functions on counting measure spaces. Discover the unique structure of Poisson U-statistics and examine a series of concentration inequalities under mild conditions. Evaluate the optimality of these inequalities and investigate their applications to stochastic geometry models. Gain insights into the intensive study of Poisson functionals in recent years and their crucial role in analyzing important geometric functionals in stochastic geometry.
