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math.SP2023★ 1 cited
Spectral correspondences for finite graphs without dead ends
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We compare the spectral properties of two kinds of linear operators characterizing the (classical) geodesic flow and its quantization on connected locally finite graphs without dea…
math.SP2021
Poisson Transforms for Trees of Bounded Degree
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We introduce a parameterized family of Poisson transforms on trees of bounded degree, construct explicit inverses for generic parameters, and characterize moderate growth of Laplac…