• Corpus ID: 119123279

Random partitions and the quantum Benjamin-Ono hierarchy

@article{Moll2016RandomPA,
  title={Random partitions and the quantum Benjamin-Ono hierarchy},
  author={Alexander Moll},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
  • Alexander Moll
  • Published 12 August 2015
  • Mathematics
  • arXiv: Mathematical Physics
Jack measures $M_V (\varepsilon_2, \varepsilon_1)$ on partitions $\lambda$ are discrete stochastic processes occurring naturally in the study of continuum circular $\beta$-ensembles in generic background potentials $V$ and arbitrary values $\beta$ of Dyson's inverse temperature. For analytic $V$, we prove a law of large numbers and central limit theorem in the scaling limit $\varepsilon_2 \rightarrow 0 \leftarrow \varepsilon_1$ taken at fixed inverse Jack parameter $\beta / 2=- \varepsilon_2… 
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