The equivalence of Benjamini–Schramm convergence and zeta-convergence, known for graphs, is proven for sequences of compact Riemann surfaces. A program is initialized, to extend this connection to arbitrary locally homogeneous spaces.

中文翻译：

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Benjamini–Schramm收敛和zeta函数

图的已知Benjamini–Schramm收敛和zeta收敛的等价性证明了紧Riemann曲面的序列。初始化一个程序，以将此连接扩展到任意局部同构空间。