79 citations · 99 across the 8 of their papers we have counts for
4 papers · 1 filter
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…