3 papers
math.SP2026
A note on the A.C. spectrum of limit-periodic Jacobi matrices
Moises Gomez Solis
We show that limit-periodic Jacobi matrices in the weak exponential class have purely absolutely continuous spectral type when is sufficiently large, depending only on…
math-ph2025
On the Ballistic Transport for limit-periodic Jacobi Matrices
Rui Han, Moises Gomez Solis
Motivated by Open Problem 17 in Damanik-Fillman's manuscript , we study the decay rate of limit-periodic approximation such that ballistic transport persists in the limit-periodic…
math-ph2024
On the spectrum of magnetic Laplacian on the Lieb lattice
Moises Gomez Solis, Dylan Spedale, Fan Yang
We study the magnetic Laplacian on the Lieb lattice, and prove Cantor spectrum for arbitrary irrational magnetic flux. We also provide a complete spectral analysis for the reduced…