Eur. Phys. J. Plus (2022) 137: 759
https://doi.org/10.1140/epjp/s13360-022-02972-5

Regular Article

Constellation ensembles and interpolation in ensemble averages

University of Oregon Eugene, Eugene, OR, USA

^a ehulbert@uoregon.edu

Received: 2 March 2022
Accepted: 14 June 2022
Published online: 1 July 2022

Abstract

We introduce constellation ensembles, in which charged particles on a line (or circle) are linked with charged particles on parallel lines (or concentric circles). We present formulas for the partition functions of these ensembles in terms of either the Hyperpfaffian or the Berezin integral of an appropriate alternating tensor. Adjusting the distances between these lines (or circles) gives an interpolation between a pair of limiting ensembles, such as one-dimensional $\beta$-ensembles with $\beta =K$ and $\beta =K^2$.