A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation
Mathematical Physics
2018-07-30 v1 Dynamical Systems
math.MP
Abstract
The statistical counterpart of the formalism of hamiltonian systems with convex dissipation arXiv:0810.1419 , arXiv:1408.3102 is a completely open subject. Here are described a stochastic version of the SBEN principle and a Liouville type theorem which uses a minimal dissipation cost functional.
Keywords
Cite
@article{arxiv.1807.10480,
title = {A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation},
author = {Marius Buliga},
journal= {arXiv preprint arXiv:1807.10480},
year = {2018}
}