3 papers
math.AG2026
Approximating Periodic Orbits with Algebraic Curves and Related Minimal Problems
Ruiqi Huang, Anton Leykin
The Circular Restricted Three-Body Problem (CR3BP) models the motion of a massless body under the gravitational influence of two primaries. We present a method for approximating a…
math.OC2025
Discrete Shortest Paths in Optimal Power Flow Feasible Regions
Daniel Turizo, Diego Cifuentes, Anton Leykin +1
Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexit…
math.AC2024
Local dual spaces and primary decomposition
Justin Chen, Marc Härkönen, Anton Leykin
Generalizing the concept of the Macaulay inverse system, we introduce a way to describe localizations of an ideal in a polynomial ring. This leads to an approach to the differentia…