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A mathematical basis for the graphene
(2020)
We present a new basis of representation for the graphene honeycomb structure that facilitates the solution of the eigenvalue problem by reducing it to one dimension. We define spaces in these geometrical basis that allow ...
Spectral theory of the thermal Hamiltonian: 1D case
(European Mathematical Society Publishing House, 2021)
© 2021 European Mathematical Society.In 1964 J. M. Luttinger introduced a model for the quantum thermal transport. In this paper we study the spectral theory of the Hamiltonian operator associated with Luttinger's model, ...
On the graphene Hamiltonian operator
(2020)
We solve a second-order elliptic equation with quasi-periodic boundary conditions defined on a honeycomb lattice that represents the arrangement of carbon atoms in graphene. Our results generalize those found by Kuchment ...
Large time behaviour for functional differential equations with dominant eigenvalues of arbitrary order
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
The spectral theory for linear autonomous neutral functional differential equations (FDE) yields explicit formulas for the large time behaviour of solutions. Our results are based on resolvent computations and Dunford ...
On the graphene Hamiltonian operator
(Springer, 2020)
We solve a second-order elliptic equation with quasi-periodic boundary conditions defined on a honeycomb lattice that represents the arrangement of carbon atoms in graphene. Our results generalize those found by Kuchment ...
Spectral regularization in generalized matrix learning vector quantization
(IEEE, 2017)
In this contribution we propose a new regularization method for the Generalized Matrix Learning Vector Quantization classifier. In particular we use a nuclear norm in order to prevent oversimplifying/over-fitting and ...