In this paper, we provide a concrete construction of Furstenberg entropy values of τ-boundaries of the group ℤ[ 1 p1 ,…, 1 pl] ⋊ {p1n1⋯plnl:ni ∈ 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.

中文翻译：

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作为有限子和的边界熵谱

在本文中，我们提供了 Furstenberg 熵值的具体构造τ- 群体的边界ℤ[ 1 p1 ,…, 1 pl] ⋊ {p1n1⋯plnl：n一世 ∈ ℤ}通过选择适当的随机游走τ. 我们表明，边界熵谱可以实现为任何给定有限正数序列的子集。