论文标题

Gibbs衡量排斥性玻色气的措施

Gibbs measures for the repulsive Bose gas

论文作者

Bai, Tianyi, Vogel, Quirin

论文摘要

我们证明了在宏伟的集合中具有非负相互作用的bose气体代表的Gibbs措施的存在。我们的结果对于所有负化学势以及略有正阳性的化学势有效。我们考虑了标记点的吉布斯属性以及路径的马尔可夫 - 吉布斯属性。

We prove the existence of Gibbs measures for the Feynman representation of the Bose gas with non-negative interaction in the grand-canonical ensemble. Our results are valid for all negative chemical potentials as well as slightly positive chemical potentials. We consider both the Gibbs property of marked points as well as a Markov--Gibbs property of paths.

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