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arXiv 1502.00482math.SPmath.DS
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具有几乎规范性质的系统可能具有零熵

Systems with Almost Specification Property May Have Zero Entropy

Yiwei Dong

摘要:

证明了存在具有几乎规范性质和零熵的系统。由于Sigmund证明了具有规范性质的系统必然具有正熵,这一结果进一步揭示了几乎规范与规范的区别。此外,还可以进一步得到保证正熵的充分条件和必要条件。

英文摘要:

It is shown that there exist systems having almost specification property and zero entropy. Since Sigmund has shown that systems with specification property must have positive entropy, this result reveals further the difference between almost specification and specification. Moreover, one can step on to obtain a both sufficient and necessary condition to ensure positive entropy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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