Truncated linear statistics in the one dimensional one-component plasma

Ana Flack, Satya N. Majumdar, Gregory Schehr

In this paper, we study the probability distribution of the observable $s=(1/N){\sum }_{i=N-N^{\prime }+1}^N{x}_i$, with $1\le N^{\prime }\le N$ and $x_1<x_2<\cdots <x_N$ representing the ordered…