2 papers
eess.SP2026
Differentiating through binarized topology changes: Second-order subpixel-smoothed projection
Giuseppe Romano, Rodrigo Arrieta, Steven G. Johnson
A key challenge in topology optimization (TopOpt) is that manufacturable structures, being inherently binary, are non-differentiable, creating a fundamental tension with gradient-b…
cond-mat.other2025
Sufficient conditions for localized vibrational modes in one- and two-dimensional discrete lattices
Jaden Thomas-Markarian, Rodrigo Arrieta, Shu-Ching Yang +2
This paper presents a rigorous proof that arbitrarily weak perturbations produce localized vibrational (phonon) modes in one- and two-dimensional discrete lattices, inspired by ana…