进位过程与欧拉数的推广
A generalization of carries process and Eulerian numbers
摘要：
本文研究了Holte的奇异矩阵的一个推广，即非标准数制中进位的马尔可夫链的转移概率矩阵。平稳分布的显式描述的数字，可以看作是一个推广的欧拉数和MacMahon数。我们还表明，类似的性质，甚至举行的计数系统与负基地。
英文摘要：
We study a generalization of Holte's amazing matrix, the transition probability matrix of the Markov chains of the 'carries' in a non-standard numeration system. The stationary distributions are explicitly described by the numbers which can be regarded as a generalization of the Eulerian numbers and the MacMahon numbers. We also show that similar properties hold even for the numeration systems with the negative bases.
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。
