Theoretical Study of Spin Glasses Using Methods of Information Science

我研究了自旋眼镜的问题，重点是它与信息科学的关系。复制方法对CDMA性能的潜在近似分析已经通过严格的方法进行了检查，并且我已经表明，尽管使用复制方法，结果是有效的。对子集和问题进行了研究，在前人的研究中指出了一个严重的问题。该缺陷已得到改善，并建立了对系统行为的新见解。在平均场水平上对多自旋相互作用体系进行了研究，确定了类自旋玻璃项与铁磁项的比值对相图的结构起着至关重要的作用。

I have investigated the problem of spin glasses with emphasis on relations with information science. The potentially approximate analysis of replica method for the CDMA performance has been checked by rigorous approaches and I have shown that the result is valid in spite of use of the replica method. The problem of subset sum has been investigated and a serious problem has been pointed out in a previous study of this issue. The deficiency has been improved and a new insight into the system behavior has been established. Multispin-interacting system has been studied in the mean-field level to establish that the ratio of spin-glass-like term and ferromagnetic term plays a crucial role in the structure of the phase diagram.