The Partition Function of Log-Gases with Multiple Odd Charges

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