We consider integer-valued processes with a linear or nonlinear generalized autoregressive conditional heteroscedastic models structure, where the count variables given past follow Poisson distribution. show that contraction condition imposed on intensity function yields property of Markov kernel process. This allows almost effortless proofs existence and uniqueness stationary distribution as w...

Abstract Chord measures are newly discovered translation-invariant geometric of convex bodies in R n {{\mathbb{R}}}^{n} , addition to Aleksandrov-Fenchel-Jessen’s area measures. They constructed from chord integrals and random lines. Prescri...

Atomic carbon (CI) has been proposed to be a global tracer of the molecular gas as substitute for CO, however, its utility remains unproven. To evaluate suitability CI tracer, we performed [CI]$(^3P_1-^3P_0)$ (hereinafter [CI](1-0)) mapping observations northern part nearby spiral galaxy M83 with ASTE telescope and compared distributions [CI](1-0) CO lines (CO(1-0), CO(3-2), $^{13}$CO(1-0)), HI...