AI 中文总结
该研究确定了有限粒子和无限粒子无标签Ginibre相互布朗运动的精确谱间隙，发现无限粒子系统的谱间隙大于有限粒子系统，揭示了谱间隙在粒子系统从有限到无限过渡时的增强效应。
AI 中文摘要
我们确定了有限粒子和无限粒子无标签Ginibre相互布朗运动的精确谱间隙。在每个有限粒子系统中，谱间隙等于1，而对于无限粒子系统，其谱间隙等于2。因此，无限粒子动力学的谱间隙严格大于其任何有限粒子对应系统，揭示了从有限到无限粒子系统过渡时谱间隙的增强现象。
英文摘要
We determine the exact spectral gaps for both the finite-particle and infinite-particle unlabelled Ginibre interacting Brownian motions. In every finite-particle system, the spectral gap is equal to one, whereas for the infinite-particle system it is equal to two. The infinite-particle dynamics therefore has a strictly larger spectral gap than any of its finite-particle counterparts, revealing an enhancement of spectral gaps in the passage from finite to infinite particle systems.
