Typical ground states for large sets of interactions
Mathematical Physics
2020-11-20 v1 Statistical Mechanics
Dynamical Systems
math.MP
Abstract
We discuss what ground states for generic interactions look like. We note that a recent result, due to Morris, implies that the behaviour of ground-state measures for generic interactions is similar to that of generic measures. In particular, it follows from his observation that they have singular spectrum and that they are weak mixing, but not mixing.
Cite
@article{arxiv.2009.02586,
title = {Typical ground states for large sets of interactions},
author = {Aernout van Enter and Jacek Miekisz},
journal= {arXiv preprint arXiv:2009.02586},
year = {2020}
}
Comments
15 pages, submitted to J. Stat. Phys