2 papers
quant-ph2021
The dynamics of the Koopman-van Hove angular and linear momentum operators
Remy Messadene
A recent formalism capturing the classical-quantum coupling in a Hamiltonian theory for probabilistic classical mechanics has been proposed: the Koopman-van Hove formulation. The a…
math.PR2021
Signature asymptotics, empirical processes, and optimal transport
Thomas Cass, William F. Turner, Remy Messadene
Rough path theory provides one with the notion of signature, a graded family of tensors which characterise, up to a negligible equivalence class, and ordered stream of vector-value…