5 minutes Lebesgue

Hideyuki Ishi, Analyse sur les cônes homogènes et au-delà

Hideyuki Ishi, de l'université de Nagoya, est invité par le Centre Henri Lebesgue.

Analysis on homogeneous cones and beyond

The set of positive definite real symmetric matrices is a typical example of homogeneous cone. Because of its rich symmetry, a lot of beautiful integral formulas hold over the homogeneous cone. And recently, statisticians find that some of the formulas are valid even for non-homogeneous cones.

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