Applications of the graphs to the Generalized Ornstein-Uhlenbeck process

preprint2013arXivOpen access

We consider the generalized Ornstein- Uhlenbeck equation $\partial_t X=-m X_t+η$ . In this paper We construct the Lévy noise $η$ . The generalized Ornstein- Uhlenbeck process $X_t$ will be represented by a special types of graphs called rooted trees with two types of leaves.

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Applications of the graphs to the Generalized Ornstein-Uhlenbeck process

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