24 citations · 163 across the 51 of their papers we have counts for
4 papers · 2 filters
On the Number of Closed Gaps of Discrete Periodic One-Dimensional Operators
Andrew Arroyo, Faye Castro, Jake Fillman
From the general inverse theory of periodic Jacobi matrices, it is known that a periodic Jacobi matrix of minimal period may have at most closed spectral gaps. We…
Exact mobility edges for almost-periodic CMV matrices via gauge symmetries
Christopher Cedzich, Jake Fillman, Long Li +2
We investigate the symmetries of so-called generalized extended CMV matrices. It is well-documented that problems involving reflection symmetries of standard extended CMV matrices…
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…
The Schwartzman Group of an Affine Transformation
David Damanik, Íris Emilsdóttir, Jake Fillman
We compute the Schwartzman group associated with an ergodic affine automorphism of a compact connected abelian group given by the composition of an automorphism of the group and a…