Applications of the graphs to the Generalized Ornstein-Uhlenbeck process

Mathematics – Probability

Scientific paper

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10 pages, 1 Figure, 1Table

Scientific paper

We consider the generalized Ornstein- Uhlenbeck equation $\partial_t X=-m
X_t+\eta$. In this paper We construct the L\'evy noise $\eta$. 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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