42 citations · 45 across the 5 of their papers we have counts for
5 papers
Gap Labels for Zeros of the Partition Function of the 1D Ising Model via the Schwartzman Homomorphism
David Damanik, Mark Embree, Jake Fillman
Inspired by the 1995 paper of Baake--Grimm--Pisani, we aim to explain the empirical observation that the distribution of Lee--Yang zeros corresponding to a one-dimensional Ising mo…
Analysis of GMRES for Low-Rank and Small-Norm Perturbations of the Identity Matrix
Arielle K. Carr, Eric de Sturler, Mark Embree
In many applications, linear systems arise where the coefficient matrix takes the special form , where is the identity matrix of dimension $n…
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann-Beenker Tilings
David Damanik, Mark Embree, Jake Fillman +1
Aperiodic substitution tilings provide popular models for quasicrystals, materials exhibiting aperiodic order. We study the graph Laplacian associated with four tilings from the mu…
How Descriptive are GMRES Convergence Bounds?
Mark Embree
GMRES is a popular Krylov subspace method for solving linear systems of equations involving a general non-Hermitian coefficient matrix. The conventional bounds on GMRES convergence…
Spectra of Discrete Two-Dimensional Periodic Schrödinger Operators with Small Potentials
Mark Embree, Jake Fillman
We show that the spectrum of a discrete two-dimensional periodic Schrödinger operator on a square lattice with a sufficiently small potential is an interval, provided the period is…