6533b838fe1ef96bd12a4865
RESEARCH PRODUCT
SOME RELATIONS BETWEEN BOUNDED BELOW ELLIPTIC OPERATORS AND STOCHASTIC ANALYSIS
Rémi Léandresubject
Pure mathematicsStochastic process010102 general mathematicsLie groupPoisson processMalliavin calculus01 natural sciences[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]010104 statistics & probabilityElliptic operatorsymbols.namesakeBounded functionsymbols0101 mathematics[MATH]Mathematics [math]Mathematicsdescription
International audience; We apply Malliavin Calculus tools to the case of a bounded below elliptic rightinvariant Pseudodifferential operators on a Lie group. We give examples of bounded below pseudodifferential elliptic operators on R d by using the theory of Poisson process and the Garding inequality. In the two cases, there is no stochastic processes besides because the considered semi-groups do not preserve positivity.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |