Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=1611

Support of a Marcus equation in Dimension 1

Thomas Simon, Humboldt-Universitat zu Berlin

Abstract

The purpose of this note is to give a support theorem in the Skorohod space for a one-dimensional Marcus differential equation driven by a Lévy process, without any assumption on the latter. We also give a criterion ensuring that the support of the equation is the whole Skorohod space. This improves, in dimension 1, a result of H. Kunita.

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Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=1611