16 citations · 19 across the 6 of their papers we have counts for
7 papers
Correlation of local densities of states on mesoscopic energy scales in random band matrices
Justine Louis
We are interested in the phase transition of the correlation function of local densities of states at mesoscopic scales of random band matrices of width in dimension . As a…
Asymptotics for the determinant of the combinatorial Laplacian on hypercubic lattices
Justine Louis
In this paper, we compute asymptotics for the determinant of the combinatorial Laplacian on a sequence of -dimensional orthotope square lattices as the number of vertices in eac…
Low temperature ratchet current
Justine Louis
In [3], the low temperature ratchet current in a multilevel system is considered. In this note, we give an explicit expression for it and find its numerical value as the number of…
A formula for the energy of circulant graphs with two generators
Justine Louis
In this note, we derive closed formulas for the energy of circulant graphs generated by and , where is an integer. We also find a formula for the energy of the…
Spanning trees in directed circulant graphs and cycle power graphs
Justine Louis
The number of spanning trees in a class of directed circulant graphs with generators depending linearly on the number of vertices , and in the -th and -th power graph…
A formula for the number of spanning trees in circulant graphs with non-fixed generators and discrete tori
Justine Louis
We consider the number of spanning trees in circulant graphs of vertices with generators depending linearly on . The matrix tree theorem gives a closed formula of fact…