Fine structure of one-dimensional discrete point system
  We consider the system of $N$ points on the segment of the real line with the nearest-neighbor Coulomb repulsive interaction and external force $F$. For the fixed points of such systems (fixed configurations) we study the asymptotics (in $N$ and $l$) of finite differences of order $l$. Classical theory of finite differences is extensively used. 
V. A. Malyshev
math-ph math.CO math.MP