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physics.class-ph2023
A biased Ising model using two coupled Kerr parametric oscillators with external force
Pablo Álvarez, Davide Pittilini, Filippo Miserocchi +6
Networks of coupled Kerr parametric oscillators (KPOs) are a leading physical platform for analog solving of complex optimization problems. These systems are colloquially known as…
math.AG2023
Khovanskii bases for semimixed systems of polynomial equations -- a case of approximating stationary nonlinear Newtonian dynamics
Viktoriia Borovik, Paul Breiding, Javier del Pino +2
We provide an approach to counting roots of polynomial systems, where each polynomial is a general linear combination of prescribed, fixed polynomials. Our tools rely on the theory…