8 citations · 8 across the 5 of their papers we have counts for
Showing math.CAShow all
2 papers · 1 filter
math.CA2022
The pseudoinverse of the Laplacian matrix: Asymptotic behavior of its trace
Fatih Ecevit, Cem Yalçın Yıldırım
In this paper we are concerned with the asymptotic behavior of \[ \operatorname{tr}(\mathcal{L}^+_{\rm sq}) = \frac{1}{4} \sum_{j,k=0 \atop (j,k) \neq (0,0)}^{n-1} \frac{1}{1-\frac…
math.CA2020
Asymptotic evaluation of a lattice sum associated with the Laplacian matrix
Arzu Boysal, Fatih Ecevit, Cem Yalçın Yıldırım
The Laplacian matrix is of fundamental importance in the study of graphs, networks, random walks on lattices, and arithmetic of curves. In certain cases, the trace of its pseudoinv…