24 citations · 71 across the 10 of their papers we have counts for
10 papers
Matching number, Hamiltonian graphs and discrete magnetic Laplacians
J. S. Fabila-Carrasco, Fernando Lledó, Olaf Post
In this article, we relate the spectrum of the discrete magnetic Laplacian (DML) on a finite simple graph with two structural properties of the graph: the existence of a perfect ma…
Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbons
John Stewart Fabila-Carrasco, Fernando Lledó
In this article, we analyze the spectrum of discrete magnetic Laplacians (DML) on an infinite covering graph with (Abelian) lattice g…
Amenability of coarse spaces and K-algebras
Pere Ara, Kang Li, Fernando Lledó +1
In this article we analyze the notions of amenability and paradoxical decomposition from an algebraic perspective. We consider this dichotomy for locally finite extended metric spa…
On Self-adjoint extensions and symmetries in Quantum Mechanics
Alberto Ibort, Fernando Lledó, Juan Manuel Pérez-Pardo
Given a unitary representation of a Lie group on a Hilbert space , we develop the theory of -invariant self-adjoint extensions of symmetric operators both using…
On spectral approximation, Følner sequences and crossed products
Fernando Lledó
In this article we study Foelner sequences for operators and mention their relation to spectral approximation problems. We construct a canonical Foelner sequence for the crossed pr…
Eigenvalue bracketing for discrete and metric graphs
Olaf Post, Fernando Lledo
We develop eigenvalue estimates for the Laplacians on discrete and metric graphs using different types of boundary conditions at the vertices of the metric graph. Via an explicit c…