细胞神经网络和ζ函数

2010 12th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2010) Pub Date : 2010-03-29 DOI:10.1109/CNNA.2010.5430260

Jung-Chao Ban, Wen-Guei Hu, Song-Sun Lin, Yin-Heng Lin

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引用次数: 0

摘要

本演讲涉及有限型二维位移的ζ函数。ζ函数是一个重要的不变量，它结合了所有周期模式的信息。通过模式生成方法，ζ函数可以显式地表示为多项式无穷积的倒数。该方法可应用于二维细胞神经网络。

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Cellular neural networks and zeta functions

This talk is concerned with zeta functions of two-dimensional shifts of finite type. The zeta function is an important invariant, which combines information of all periodic patterns. The zeta function can be explicitly expressed as a reciprocal of an infinite product of polynomials by patterns generation approaches. The methods can apply to two-dimensional cellular neural networks.

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2010 12th International Workshop on Cellular Nanoscale Networks and their Applications (CNNA 2010)

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