生命と知能の情報物理学（2）信号保存論理によるべき乗則分布の証明

• Item type: SIG Technical Reports(1)
• 公開日: 1999-11-25
• タイトル: 生命と知能の情報物理学（2）信号保存論理によるべき乗則分布の証明
• タイトル / 言語: en
• タイトル: Information Physics of Life and Intelligence (2) -A Proof of Power - Law Distribution by Signal Conservation Logic-
• 言語: jpn
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_18gh
• 資源タイプ: technical report
• 著者所属: 京都大学大学院情報学研究科
• 著者所属(英): en
• 著者所属(英): Graduate School of Informatics, Kyoto University
• 著者名: 稲垣, 耕作
• 著者名(英): Kosaku, Inagaki
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: This paper investigates power-law distribution exhibited by cellular automata based on signal conservation logic (SCL) and proves its theoretical exactness. SCL is a model of logic for the physical world subject to the matter conservation law. Power-law distribution is caused by a kind of discrete relaxation via some logical transformations of white noise. The proposed model gives us various insights into this law including: (1) power-law distribution is generated by positive logic which means its irrelevance to computational universality in the sense of elemental universality (2) context-free grammar can generate power-law distribution (3) a hypothetical model for 1/f spectrum (4) relation between discrete power laws caused by perfectly inelastic collisions and the entropy problem.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: This paper investigates power-law distribution exhibited by cellular automata based on signal conservation logic (SCL) and proves its theoretical exactness. SCL is a model of logic for the physical world subject to the matter conservation law. Power-law distribution is caused by a kind of discrete relaxation via some logical transformations of white noise. The proposed model gives us various insights into this law including: (1) power-law distribution is generated by positive logic, which means its irrelevance to computational universality in the sense of elemental universality, (2) context-free grammar can generate power-law distribution, (3) a hypothetical model for 1/f spectrum, (4) relation between discrete power laws caused by perfectly inelastic collisions and the entropy problem.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AN10505667
• 書誌情報: 情報処理学会研究報告数理モデル化と問題解決（MPS）; 巻 1999, 号 96(1999-MPS-027), p. 13-16, 発行日 1999-11-25
• Notice: SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc.
• 出版者 / 言語: ja
• 出版者: 情報処理学会