부산대학교 도서관

Summary: ``This paper considers the $(n, k)$-Bernoulli-Laplace urnmodel in the case when there are two urns containing $n$ balls each,with two different colors of balls (red and white). In our setting, thetotal number of red and white balls is the same. Our focus is on thelarge-time behavior of the corresponding Markov chain tracking thenumber of red balls in a given urn assuming that the number ofselections $k$ at each step obeys $\alpha \leq k/n \leq \beta$, where$\alpha$, $\beta$ are constants satisfying $0 < \alpha < \beta < \frac12$. Under this assumption, cutoff in the total variation distance isestablished and a cutoff window is provided. The results in this papersolve an open problem posed by Eskenazis and Nestoridi in [8] [MR4164850].''