论文标题

存在重型旋转眼镜的自由能

Existence of the free energy for heavy-tailed spin glasses

论文作者

Jagannath, Aukosh, Lopatto, Patrick

论文摘要

我们研究平均场自旋玻璃的自由能,其耦合分布具有功率定律尾巴。在耦合具有无限差异和有限均值的假设下,我们表明存在淬灭自由能的热力学极限,并且自由能是自动化的。

We study the free energy of a mean-field spin glass whose coupling distribution has power law tails. Under the assumption that the couplings have infinite variance and finite mean, we show that the thermodynamic limit of the quenched free energy exists, and that the free energy is self-averaging.

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