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**Zbigniew Michna - University of Wroclaw, Poland**

In this article we derive formulas for the probability $P(\sup_{t\leq T} X(t)>u)$, $T>0$ and $P(\sup_{t<\infty} X(t)>u)$ where $X$ is a spectrally positive Lévy process with infinite variation. The formulas are generalizations of the well-known Takács formulas for stochastic processes with non-negative and interchangeable increments. Moreover, we find the joint distribution of $\inf_{t\leq T} Y(t)$ and $Y(T)$ where $Y$ is a spectrally negative Lévy process. Joint work with Zbigniew Palmowski, Martijn Pistorius.

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