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报告题目:

Restricted hypercontractivity on the Poisson space

报告人:

Xiaochuan Yang (National University of Singapore)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

We show that the Ornstein-Uhlenbeck semigroup associated with a general Poisson random measure is hypercontractive, whenever it is restricted to non-increasing mappings on configuration spaces. We deduce from this result some versions of Talagrand's L 1 -L 2 inequality for increasing and concave mappings, and we build examples showing that such an estimate represents a strict improvement of the classical Poincaré inequality. We complement our finding with several results of independent interest, such as gradient estimates. Jiont with Ivan Nourdin, Giovanni Peccati.