术语“Bernoulli–Laplace模型”的详细信息

英译术语:

Bernoulli–Laplace model

汉语语境:

我们限制了平稳的伯努利 - 拉普拉斯模型收敛到的一个已标记的一般化的速率；这种泛化标记是均质空间马尔可夫链（Z_2\ WR S_N）/（S_r\ S_次{} NR）。具体而言，当r从N /2不太远，我们确定，在N个第一阶，四分之一ñ\对数n步都能够必要的和足够的让总距离变小。另外，当r距离n / 2不太远时，我们表明，我们的标记概括也表现出了“截断现象。”

英语语境:

We bound the rate of convergence to stationarity for a signed generalization of the Bernoulli-Laplace model; this signed generalization is a Markov chain on the homogeneous space (Z_2 \wr S_n) / (S_r \times S_{n-r}). Specifically, when r is not too far from n/2, we confirmed that to first order in n, 1/4 n \log n steps are both necessary and sufficient for total variation distance to become small. Moreover, when r is not too far from n/2, we show that our signed generalization also exhibits the "cutoff phenomenon".