论文标题

来自有限体积玻色汤的讲述的出现

Emergence of interlacements from the finite volume Bose soup

论文作者

Vogel, Quirin

论文摘要

我们表明,以超过临界值的(经验)粒子密度为条件,有限体积的玻色环汤会收敛到玻色子环汤的叠加(整个空间)和随机讲述的泊松点过程。后者的强度由高于临界点的过量密度给出。我们考虑自由案例和平均野外案例。

We show that, conditioned on the (empirical) particle density exceeding the critical value, the finite volume Bose loop soup converges to the superposition of the Bosonic loop soup (on the whole space) and the Poisson point process of random interlacements. The intensity of the latter is given by the excess density above the critical point. We consider both the free case and the mean field case.

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