English

The stochastic Bessel operator at high temperatures

Probability 2024-11-22 v1

Abstract

We know from Ram{\'i}rez and Rider that the hard edge of the spectrum of the Beta-Laguerre ensemble converges, in the high-dimensional limit, to the bottom of the spectrum of the stochastic Bessel operator. Using stochastic analysis techniques, we show that, in the high temperatures limit, the rescaled eigenvalues point process of the stochastic Bessel operator converges to a limiting point process characterized with coupled stochastic dierential equations.

Keywords

Cite

@article{arxiv.2411.13972,
  title  = {The stochastic Bessel operator at high temperatures},
  author = {Hugo Magaldi},
  journal= {arXiv preprint arXiv:2411.13972},
  year   = {2024}
}
R2 v1 2026-06-28T20:07:33.193Z