Rodrigo Matos

most citedAlgebraic Properties of the Fermi Variety for Periodic Graph Operators

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math.SP2024

Floquet Isospectrality of the Zero Potential for Discrete Periodic Schrödinger Operators

Matthew Faust, Wencai Liu, Rodrigo Matos +5

Let $Γ = q_{1} Z \oplus q_{2} Z \oplus \dots \oplus q_{d} Z$ , with $q_{j} \in (Z^{+})^{d}$ for each $j \in {1, \dots, d}$ , and denote by $Δ$ the discrete Laplacian…

math.SP2023★ 1 cited

Algebraic Properties of the Fermi Variety for Periodic Graph Operators

Jake Fillman, Wencai Liu, Rodrigo Matos

We present a method to estimate the number of irreducible components of the Fermi varieties of periodic Schrödinger operators on graphs in terms of suitable asymptotics. Our main t…