79 citations · 97 across the 5 of their papers we have counts for
5 papers
Algebraic Geometrization of the Kuramoto Model: Equilibria and Stability Analysis
Dhagash Mehta, Noah Daleo, Florian Dörfler +1
Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of equations, which is an important yet challenging problem. We translate this into an al…
Certified counting of roots of random univariate polynomials
Joseph Cleveland, Jeffrey Dzugan, Jonathan D. Hauenstein +5
A challenging problem in computational mathematics is to compute roots of a high-degree univariate random polynomial. We combine an efficient multiprecision implementation for solv…
Energy Landscape of the Finite-Size Mean-field 2-Spin Spherical Model and Topology Trivialization
Dhagash Mehta, Jonathan D. Hauenstein, Matthew Niemerg +2
Motivated by the recently observed phenomenon of topology trivialization of potential energy landscapes (PELs) for several statistical mechanics models, we perform a numerical stud…
Gauge-fixing on the Lattice via Orbifolding
Dhagash Mehta, Noah S Daleo, Jonathan D Hauenstein +1
When fixing a covariant gauge, most popularly the Landau gauge, on the lattice one encounters the Neuberger 0/0 problem which prevents one from formulating a Becchi--Rouet--Stora--…
Experiments on the zeros of harmonic polynomials using certified counting
Jonathan D. Hauenstein, Antonio Lerario, Erik Lundberg +1
Motivated by Wilmshurst's conjecture, we investigate the zeros of harmonic polynomials. We utilize a certified counting approach which is a combination of two methods from numerica…