Bernoulli-Laplace扩散模型的符号推广
A signed generalization of the Bernoulli-Laplace diffusion model
摘要：
本文证明了Bernoulli-Laplace扩散模型的符号推广是齐次空间（Z_2PDMATHABMNS_n）/（S_rPDMATHABMN S_{n-r}）上的马氏链，其收敛速度是平稳的.具体来说，对于r不太远，从n/2，我们确定，在n，1/4 n \log n步骤的第一顺序都是必要的和足够的总变化距离变小。此外，对于r不太远离n/2，我们表明，我们的符号推广也表现出"截止现象。''
英文摘要：
We bound the rate of convergence to stationarity for a signed generalization of the Bernoulli-Laplace diffusion model; this signed generalization is a Markov chain on the homogeneous space (Z_2 \wr S_n) / (S_r \times S_{n-r}). Specifically, for r not too far from n/2, we determine 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, for r not too far from n/2, we show that our signed generalization also exhibits the ``cutoff phenomenon.''
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
