Topology in information theory in topology
Topology in information theory in topology
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DOI：
10.1016/j.tcs.2008.06.027
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发表时间：
2008-10-06
影响因子：
1.1
通讯作者：
Martin, Keye
中科院分区：
文献类型：
--
作者：
Martin, Keye
我们证明了信息论中的时间容量是噪声的欧氏连续函数。这是一个基于拓扑方法的结果，有利于信息论的工作。然后，我们表明，二进制定时能力是一个衡量的距离，产生欧几里德拓扑油的单位间隔，尽管事实上，它不满足三角不等式。这是一种基于结果的石油信息理论方法，有利于拓扑结构。这些结果在信息隐藏领域、量子通信研究和域理论中有重要的应用。它们似乎提出了关于距离本身性质的根本问题。(c)2008 Elsevier B.V.保留所有权利。
We prove that timed capacity in information theory is a Euclidean continuous function of noise. This is a result based on topological methods that benefits work in information theory. Then we show that binary timing capacity is a measure of distance which yields the Euclidean topology oil the unit interval, despite the fact that it does not satisfy the triangle inequality. This is a result based oil information theoretic methods that benefits topology. These results have important applications in air area known as information hiding, in the study of quantum communication and in domain theory. They appear to raise fundamental questions about the nature of distance itself. (c) 2008 Elsevier B.V. All rights reserved.