2 papers
stat.AP2026
Analysis of molecular dynamics simulation data via statistical distances between covariance matrices
Yusuke Ono, Takumi Sato, Kenji Yasuoka +1
Molecular dynamics (MD) simulations are powerful tools for elucidating the macroscopic physical properties of materials from microscopic atomic behaviors. However, the massive, hig…
math-ph2025
Euler--Poincaré reduction and the Kelvin--Noether theorem for discrete mechanical systems with advected parameters and additional dynamics
Yusuke Ono, Simone Fiori, Linyu Peng
The Euler--Poincaré equations, firstly introduced by Henri Poincaré in 1901, arise from the application of Lagrangian mechanics to systems on Lie groups that exhibit symmetries,…