Typical ground states for large sets of interactions
arXiv:2009.02586 · doi:10.1007/s10955-020-02647-4
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.
15 pages, submitted to J. Stat. Phys