50 citations · 330 across the 31 of their papers we have counts for
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math-ph2018
Networks of Coadjoint Orbits: from Geometric to Statistical Mechanics
Alexis Arnaudon, So Takao
A class of network models with symmetry group that evolve as a Lie-Poisson system is derived from the framework of geometric mechanics, which generalises the classical Heisenbe…
math-ph2018★ 2 cited
Structure preserving noise and dissipation in the Toda lattice
Alexis Arnaudon
In this paper, we use Flaschka's change of variables of the open Toda lattice and its interpretation in term of the group structure of the LU factorisation as a coadjoint motion on…