33 citations · 343 across the 69 of their papers we have counts for
13 papers · 1 filter
Quaternion algebras and square power classes over biquadratic extensions
Frank Chemotti, Jan Minac, Tung T. Nguyen +3
Recently the Galois module structure of square power classes of a field has been computed under the action of in the case where is the Klein…
Spectral perturbation by rank one matrices
Jon Merzel, Jan Minac, Lyle Muller +2
Let be a matrix of size over an algebraically closed field and a monic polynomial of degree . In this article, we describe the necessary and sufficie…
Joins of circulant matrices
Jacqueline Doan, Jan Minac, Lyle Muller +2
We study the spectrum of the join of several circulant matrices. We apply our results to compute explicitly the spectrum of certain graphs obtained by joining several circulant gra…
Fekete polynomials, quadratic residues, and arithmetic
Jan Minac, Tung T. Nguyen, Nguyen Duy Tan
Fekete polynomials associate with each prime number a polynomial with coefficients or except the constant term, which is 0. These coefficients reflect the distribution…
Equilibria in Kuramoto oscillator networks: An algebraic approach
Tung T. Nguyen, Roberto C. Budzinski, Jacqueline Doan +3
Kuramoto networks constitute a paradigmatic model for the investigation of collective behavior in networked systems. Despite many advances in recent years, many open questions rema…
Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks
Roberto C. Budzinski, Tung T. Nguyen, Jacqueline Doan +3
One of the simplest mathematical models in the study of nonlinear systems is the Kuramoto model, which describes synchronization in systems from swarms of insects to superconductor…