14 citations · 29 across the 7 of their papers we have counts for
8 papers
Application of an unbalanced optimal transport distance and a mixed L1/Wasserstein distance to full waveform inversion
Da Li, Michael P. Lamoureux, Wenyuan Liao
Full waveform inversion (FWI) is an important and popular technique in subsurface earth property estimation. However, using the least-squares norm in the misfit function often lead…
Identification of minimum phase preserving operators on the half line
Peter C. Gibson, Michael P. Lamoureux
Minimum phase functions are fundamental in a range of applications, including control theory, communication theory and signal processing. A basic mathematical challenge that arises…
Constructive solutions to Pólya-Schur problems
Peter C. Gibson, Michael P. Lamoureux
We present constructive solutions to the following Pólya-Schur problems concerning linear operators on the space of univariate polynomials: Given subsets and of the com…
Spectra self-similarity for almost Mathieu operators
Michael P. Lamoureux, James A. Mingo, Sydney R. Pachmann
We determine numerically the self-similarity maps for spectra of the almost Mathieu operators, a two-dimensional fractal-like structure known as the Hofstadter butterfly. The simil…
Drawing butterflies from the almost Mathieu operator
Michael P. Lamoureux
Plotting spectra of a range of almost Mathieu operators reveals a beautiful fractal-like image that contains multiple copies of a butterfly image. We demonstrate that plotting the…
On the Characteristic Polynomial of the Almost Mathieu Operator
Michael P. Lamoureux, James A. Mingo
Let theta = p/q with p and q relatively prime and u and v a pair of unitaries such that u v = e^{i theta} v u, where u and v generate the rotation C*-algebra A_theta. Let h_{theta,…