导致$n^{5/6}$阶涨落的自相互作用
A Self-Interaction Leading to Fluctuations of Order $n^{5/6}$
摘要：
在arXiv：1301.6911中，我们构建并研究了一个具有自组织临界性的Curie-Weiss模型：它是一个具有导致$n^{3/4}$阶数波动的自相互作用和与$\exp(-x^4/12)$成比例的极限律的模型。在本文中，我们修改我们的模型，以“杀死长期$x^4$“，并获得一个自相互作用导致的波动顺序$n^{5/6}$和一个限制法律$C\,\exp(-λx^6)\,dx$，为适当的正常数$C$和$λ$。
英文摘要：
In arXiv:1301.6911, we built and studied a Curie-Weiss model exhibiting self-organized criticality : it is a model with a self-interaction leading to fluctuations of order $n^{3/4}$ and a limiting law proportional to $\exp(-x^4/12)$. In this paper we modify our model in order to "kill the term $x^4$" and to obtain a self-interaction leading to fluctuations of order $n^{5/6}$ and a limiting law $C\,\exp(-λx^6)\,dx$, for suitable positive constants $C$ and $λ$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
