Ihara Zeta Functions of Infinite Weighted Graphs

DOI10.1137/140957925zbMath1323.05059arXiv1402.4945OpenAlexW2963995474MaRDI QIDQ3449867

Anton Deitmar

Publication date: 30 October 2015

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4945

zbMATH Keywords

weighted graphsFredholm determinantIhara zeta function

Mathematics Subject Classification ID

Paths and cycles (05C38) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Signed and weighted graphs (05C22) Infinite graphs (05C63)

Related Items

A chaotic lattice field theory in one dimension* ⋮ Weighted prime geodesic theorems ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ Convergence of zeta functions for amenable group extensions of shifts ⋮ The Ihara zeta function for infinite graphs ⋮ Heat kernels on regular graphs and generalized Ihara zeta function formulas ⋮ A generalized Ihara zeta function formula for simple graphs with bounded degree

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