Recent research has focused on modeling asset prices by Itô semimartingales. In such a modeling framework, the quadratic variation consists of a continuous and a jump component. This paper is about ...

In this paper we give the local time for some continuous two-parameter martingales with respect to the quadratic variation $\langle M\rangle$ and we study some of their sample path properties. Journal ...

We are at a critical time and supporting climate journalism is more important than ever. Science News and our parent organization, the Society for Science, need your help to strengthen environmental ...

We are at a critical time and supporting climate journalism is more important than ever. Science News and our parent organization, the Society for Science, need your help to strengthen environmental ...