75 citations · 932 across the 61 of their papers we have counts for
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math-ph2020★ 4 cited
Hamiltonian systems, Toda lattices, Solitons, Lax Pairs on weighted Z-graded graphs
Gamal Mograby, Maxim Derevyagin, Gerald V. Dunne +1
We consider discrete one dimensional nonlinear equations and present the procedure of lifting them to Z-graded graphs. We identify conditions which allow one to lift one dimensiona…
math-ph2020★ 24 cited
Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs
Gamal Mograby, Maxim Derevyagin, Gerald V. Dunne +1
In this paper we study the spectral features, on fractal-like graphs, of Hamiltonians which exhibit the special property of perfect quantum state transfer: the transmission of quan…