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Giovanni Peccati: Some applications of variational techniques in stochastic geometry I
Автор: Hausdorff Center for Mathematics
Загружено: 2021-01-11
Просмотров: 962
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Some variance estimates on the Poisson space, Part I
I will introduce some basic tools of stochastic analysis on the Poisson space, and describe how they can be used to develop variational inequalities for assessing the magnitude of variances of geometric quantities. Particular attention will be devoted to Poincar ́e, L1/L2, OSSS and Schramm-Steif in- equalities, as well as to their connections with the notions of noise sensitivity and superconcentration. Based on joint works with I. Nourdin and X. Yang, and with Yogeshwaran D. and G. Last.
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