This paper surveys the profound impact of Serge Aubry's work on mathematics, particularly in Hamiltonian dynamical systems. We trace the historical development from Newtonian mechanics through the Kolmogorov-Arnold-Moser theory to Aubry's groundbreaking contributions to the Aubry-Mather theory, Aubry-André duality, anti-integrability, and their applications across physics and mathematics.
Jinxin Xue (Sun,) studied this question.