作为有限子和的边界熵谱
Boundary entropy spectra as finite subsums
摘要：
本文通过选取适当的随机游动$τ$，给出了群$\mathbb{Z}[\frac{1}{p_1},\ldots,\frac{1}{p_{l}}]\rtimes \{p_1^{n_1}\cdots p_{l}^{n_{l}} \, : \, n_i\in\mathbb{Z}\}$的$τ$ -边界的Furstenberg熵值的具体构造.我们证明了边界熵谱可以实现为任意给定的有限正数序列的包含集。
英文摘要：
In this paper we provide a concrete construction of Furstenberg entropy values of $τ$-boundaries of the group $\mathbb{Z}[\frac{1}{p_1},\ldots,\frac{1}{p_{l}}]\rtimes \{p_1^{n_1}\cdots p_{l}^{n_{l}} \, : \, n_i\in\mathbb{Z}\}$ by choosing an appropriate random walk $τ$. We show that the boundary entropy spectrum can be realized as the subsum-set for any given finite sequence of positive numbers.
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。
