The bundle Laplacian on discrete tori
The bundle Laplacian on discrete tori
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DOI：
10.4171/aihpd/66
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发表时间：
2019-01-01
影响因子：
1.5
通讯作者：
Friedli, Fabien
中科院分区：
文献类型：
--
作者：
Friedli, Fabien
We prove an asymptotic formula for the determinant of the bundle Laplacian on discrete d-dimensional tori as the number of vertices tends to infinity. This determinant has a combinatorial interpretation in terms of cycle-rooted spanning forests. We also establish a relation (in the limit) between the spectral zeta function of a line bundle over a discrete torus, the spectral zeta function of the infinite graph Z(d) and the Epstein-Hurwitz zeta function. The latter can be viewed as the spectral zeta function of the twisted continuous torus which is the limit of the sequence of discrete tori.
