Large deviations analysis for random combinatorial partitions with counter terms

@article{Adams2022LargeDA,
  title={Large deviations analysis for random combinatorial partitions with counter terms},
  author={Stefan Adams and Matthew Dickson},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2022},
  volume={55}
}
In this paper, we study various models for random combinatorial partitions using large deviation analysis for diverging scale of the reference process. The large deviation rate functions are normalised limiting free energies and the main focus is to study their minimiser for various Gibbsian ensembles with respect to the reference measure which is a probabilistic version of the ideal Bose gas. Scaling limits of similar models have been studied recently (Fatkullin and Slastikov 2018 arXiv:1801… 
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