# SPD

## Seminar

### Brascamp-Lieb inequality and Wiener integrals for centred Bessel processes

Funaki, T (Tokyo)
Tuesday 23 February 2010, 11:00-12:00

Seminar Room 1, Newton Institute

#### Abstract

The Brascamp-Lieb inequality is a kind of moment inequality and used in mathematical physics. This inequality gives a good control for measures by means of Gaussian measures if they have log-concave densities. We apply it to the stochastic integrals of Wiener's type for centered $\delta$-dimensional Bessel processes with $\delta \ge 3$ and their variants. Some extensions of such moment inequalities are also discussed. The talk is based on joint works with Hariya, Hirsch, Yor, Ishitani and Toukairin.

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