β =2$ \ β =2$的无限戴森布朗运动不具有谱间隙

IF 0.9 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-12-15 DOI:10.1112/blms.13204

Kohei Suzuki

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摘要

我们证明了与逆温度β =2$ \ β =2$的无标记无限戴森布朗运动相关的狄利克雷形式不存在谱间隙。

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The infinite Dyson Brownian motion with β = 2 $\beta =2$ does not have a spectral gap

We prove that the Dirichlet forms associated with the unlabelled infinite Dyson Brownian motion with the inverse temperature $β = 2$ do not have a spectral gap.

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