Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (4): 498-504.
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YE Zhong-Xing, PAN Xu-Shan, CHEN Shan-Min
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Abstract:
提出了用信息论方法计算随机场熵率和估计其上界的新途径，并用此方法计算了若干实例．
Key words: 随机场, 熵率, Ｉｓｉｎｇ模型, 元胞自动机, 统计力学
CLC Number:
YE Zhong-Xing, PAN Xu-Shan, CHEN Shan-Min. Computation of Entropy Rate of Random Fields and Estimation of its Upper-Bound[J].Acta mathematica scientia,Series A, 2001, 21(4): 498-504.
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http://121.43.60.238/sxwlxbA/EN/Y2001/V21/I4/498
１ ＯｎｓａｇｅｒＬ．Ｃｒｙｓｔａｌｓｔａｔｉｓｔｉｃｓ：Ａｔｗｏｄｉｍｅｎｓｉｏｎａｌｍｏｄｅｌｗｉｔｈｏｒｄｅｒｄｉｓｏｒｄｅｒｔｒａｎｓｉｔｉｏｎｓ．ＰｈｙｓＲｅｖ１９４４，６５：１１７－１４７ ２ ＷｏｌｆｒａｍＳ（Ｅｄｓ）．Ｔｈｅｏｒｙａｎｄａｐｐｌｉｃａｔｉｏｎｓｏｆｃｅｌｌｕｌａｒａｕｔｏｍａｔａ．ＮｅｗＹｏｒｋ：ｗｏｒｌｄＳｃｉｅｎｔｉｆｉｃ，１９８６ ３ ＰａｃｋａｒｄＮ，ＷｏｌｆｒａｍＳ．Ｔｗｏｄｉｍｅｎｓｉｏｎａｌｃｅｌｌｕｌａｒａｕｔｏｍａｔａ．ＪＳｔａｔＰｈｙｓ．，１９８５，３８（５／６）：９０１－９４６ ４ ＨｏｒｔｅｎｓｉｕｓＰＤ，ｅｔａｌ．ＩｍｐｏｒｔａｎｃｅｓａｍｕｌｉｎｅｆｏｒＩｓｉｎｇｃｏｍｐｕｔｅｒｓｕｓｉｎｇｏｎｅｄｉｍｅｎｓｉｏｎａｌｃｅｌｌｕｌａｒａｕｔｏｍａｔａＩＥＥＥ ＴｒａｎｓＣｏｍｐｕｔｅ，１９８９，３８：７６９－７７４ ５ ＹｅＺ，ＢｅｒｇｅｒＴ．Ｉｎｆｏｒｍａｔｉｏｎｍｅａｓｕｒｅｓｆｏｒｄｉｓｃｒｅｔｅｒａｎｄｏｍｆｉｅｌｄｓ．Ｎｅｗ Ｙｏｒｋ：ＳｃｉｅｎｃｅＰｒｅｓｓ，１９９８ ６ ＡｎａｓｔａｓｓｉｏｕＤ，ＳａｋｒｉｓｏｎＤＪ．Ｓｏｍｅｒｅｓｕｌｔｓｒｅｇａｒｄｉｎｇｔｈｅｅｎｔｒｏｐｙｒａｔｅｏｆｒａｎｄｏｍｆｉｅｌｄｓ．ＩＥＥＥＴｒａｎｓ．１９８２，２８（２）：３４０－３４３
Cited
On the Completeness and Closure of Random Systems { tλn (ω) } in a Weighted Banach Space