The stochastic Bessel operator at high temperatures

Autor:	Magaldi, Hugo
Rok vydání:	2024
Předmět:	Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.13972 Zobrazit plný text záznamu View this record from Arxiv