Hypoelliptic non-homogeneous diffusions

By Patrick Cattiaux, Laurent Mesnager. 2002

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Density estimates for a random noise propagating through a chain of differential equations (2010, methodology): “For other examples of application of Malliavin calculus, we refer the reader to Bally [Bal90], where the connection between the Malliavin matrix and the Hörmander assumption is investigated carefully, to Cattiaux [Cat90], where various properties of the resolvent of a di usion process are establishe”
Densities for rough differential equations under Hormander's condition (2007, background): “There may be cases when X can be written in terms of Brownian motion so that ultimately the techniques of [5, 38] are applicable.”