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arXiv · 2006.09631

Positivity of the density for rough differential equations

Yuzuru Inahama·Bin Pei
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Abstract

Due to recent developments of Malliavin calculus for rough differential equations, it is now known that, under natural assumptions, the law of a unique solution at a fixed time has a smooth density function. Therefore, it is quite natural to ask whether or when the density is strictly positive. In this paper we study this problem from the viewpoint of Aida-Kusuoka-Stroock's general theory.

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Yuzuru Inahama, Bin Pei. 2020-06-17. Positivity of the density for rough differential equations. https://arxiv.org/abs/2006.09631

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