The paper “Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics“, co-authored by Paul Bergold and Cesare Tronci, has been published in the proceedings of the 2023 conference on “Geometric Science of Information” (link to published paper here). The paper presents a geometric formulation, in terms of Hamilton’s variational principle and Euler-Poincaré reduction by symmetry, of the Born-Oppenheimer molecular dynamics theory. The screenshot below shows the main action principle presented in the paper.