In the simple exclusion process on Z, a particle waits for a unit exponential time, then tries to jump to its right with probability p≥1/2 and left with probability q=1−p. In asymmetric case, the only non-translation invariant extremal stationary measures are πκ together with its shifts,...

We propose a class of polynomial birth-death point processes (abbreviated to PBDP) , where Z is a polynomial birth-death random variable defined in [T.C. Brown, A. Xia, Stein's method and birth-death processes, Ann. Probab. 29 (2001) 1373-1403], Ui's are independent and identically distributed...

We derive the expressions of asymptotic biases when ignoring the misclassification in a multicategory exposure. For a model with a misclassified exposure variable only, we provide a general conclusion on the direction of the biases under nondifferential misclassification assumption. To better...

We consider a wedge comb of and two independent random walks on it with continuous time parameter. They meet each other infinitely many times if the height of the comb increases at most of the order x1/5. Wedge combs with random heights are also discussed, as well as other related models. We...