Typical Ground States for Large Sets of Interactions
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 groundstate 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.
 Publication:

Journal of Statistical Physics
 Pub Date:
 December 2020
 DOI:
 10.1007/s10955020026474
 arXiv:
 arXiv:2009.02586
 Bibcode:
 2020JSP...181.1906V
 Keywords:

 Generic behaviour;
 Generic interactions;
 Latticegas models;
 Ground states;
 Nonperiodic order;
 Quasicrystals;
 Mathematical Physics;
 Condensed Matter  Statistical Mechanics;
 Mathematics  Dynamical Systems
 EPrint:
 15 pages, submitted to J. Stat. Phys