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This is the stationary distribution of some generalized Ornstein--Uhlenbeck process. The law $\\mu$ is parametrized by $c$, $q$ and $r$, where $p=1-q-r$, $q$, and $r$ are the normalized L\\'{e}vy measure of $\\{(N_t,Y_t)\\}$ at the points $(1,0)$, $(0,1)$ and $(1,1)$, respectively. 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This is the stationary distribution of some generalized Ornstein--Uhlenbeck process. The law $\\mu$ is parametrized by $c$, $q$ and $r$, where $p=1-q-r$, $q$, and $r$ are the normalized L\\'{e}vy measure of $\\{(N_t,Y_t)\\}$ at the points $(1,0)$, $(0,1)$ and $(1,1)$, respectively. 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