Cellular neural networks and zeta functions

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

doi:10.1109/CNNA.2010.5430260

Cellular neural networks and zeta functions

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

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	English
Title of host publication	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
DOIs	https://doi.org/10.1109/CNNA.2010.5430260
State	Published - 21 May 2010
Event	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 - Berkeley, CA, United States Duration: 3 Feb 2010 → 5 Feb 2010

Publication series

Name	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010

Conference

Conference	2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010
Country/Territory	United States
City	Berkeley, CA
Period	3/02/10 → 5/02/10

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10.1109/CNNA.2010.5430260

Cite this

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title = "Cellular neural networks and zeta functions",

abstract = "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.",

author = "Ban, {Jung Chao} and Hu, {Wen Guei} and Song-Sun Lin and Lin, {Yin Heng}",

year = "2010",

month = may,

day = "21",

doi = "10.1109/CNNA.2010.5430260",

language = "English",

isbn = "9781424466795",

series = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010",

booktitle = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010",

note = "2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010 ; Conference date: 03-02-2010 Through 05-02-2010",

}

Ban, JC, Hu, WG, Lin, S-S & Lin, YH 2010, Cellular neural networks and zeta functions. in 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010., 5430260, 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010, 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010, Berkeley, CA, United States, 3/02/10. https://doi.org/10.1109/CNNA.2010.5430260

Cellular neural networks and zeta functions. / Ban, Jung Chao; Hu, Wen Guei; Lin, Song-Sun et al.
2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010. 2010. 5430260 (2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Lin, Song-Sun

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AB - 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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M3 - Conference contribution

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SN - 9781424466795

T3 - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010

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T2 - 2010 12th International Workshop on Cellular Nanoscale Networks and their Applications, CNNA 2010

Y2 - 3 February 2010 through 5 February 2010

ER -

Cellular neural networks and zeta functions

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