We describe recent progress in the statistical mechanical description of many-body systems
via machine learning combined with concepts from density functional theory and many-body …

We consider the nonlinear Gross-Pitaevskii equation at positive density, that is, for a
bounded solution not tending to 0 at infinity. We focus on infinite ground states, which are by …

Classical Density Functional Theory: Representability and Universal Bounds | Journal of Statistical
Physics Skip to main content SpringerLink Account Menu Find a journal Publish with us Track …

α determines the repulsive strength of w near the origin. When α< d, w is integrable on Rd.
When α≥ d, w has a non-integrable singularity at the origin. In this case, for any state with …