# The Partition Function of Log-Gases with Multiple Odd Charges

@article{Wolff2022ThePF, title={The Partition Function of Log-Gases with Multiple Odd Charges}, author={Elisha D. Wolff and John Wells}, journal={Random Matrices: Theory and Applications}, year={2022} }

We use techniques in the shuﬄe algebra to present a formula for the partition function of a one-dimensional log-gas comprised of particles of (possibly) diﬀerent integer charges at certain inverse temperature β in terms of the Berezin integral of an associated non-homogeneous alternating tensor. This generalizes previously known results by removing the restriction on the number of species of odd charge. Our methods provide a uniﬁed framework extending the de Bruijn integral identities from…

## One Citation

Constellation ensembles and interpolation in ensemble averages

- Computer ScienceThe European Physical Journal Plus
- 2022

It is shown that adjusting the distances between these lines (or circles) gives an interpolation between a pair of limiting ensembles, such as one-dimensional β -ensembles withβ = K and β = K 2 .

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