beyond. For example, it is known that the jumps of a semimartingale at predictable times are summable in the semimartingale topology, which uniquely defines a discrete-time component of every semimartingale as the sum of its jumps at predictable times.

Applications

* In finance, Paul Samuelson introduced the geometric Brownian motion (GBM) and geometric pure-jump Lévy process as alternative continuous-time models for stock price in his seminal paper

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