On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree Codes

Merhav N.

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On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree Codes

机译：随机介质中定向聚合物的统计物理及其与树码的关系

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摘要

Using well-known results from statistical physics, concerning the almost-sure behavior of the free energy of directed polymers in a random medium, we prove that random tree codes achieve the distortion-rate function, not only on the average, but moreover, almost surely under a certain symmetry condition.

机译：使用统计物理学的著名结果，关于定向介质在随机介质中的自由能的几乎确定的行为，我们证明了随机树代码不仅可以平均地而且还几乎可以实现畸变率函数。当然在一定的对称条件下。

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来源
《Information Theory, IEEE Transactions on》 |2010年第3期|P.1345-1350|共6页
作者
Merhav N.;
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作者单位

Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel;

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原文格式 PDF
正文语种 eng
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关键词
Cayley tree; delay; directed polymer; free energy; partition function; rate-distortion theory; tree coding;

机译：Cayley树延迟定向聚合物自由能分配函数率失真理论树编码;

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1. Relations Between Random Coding Exponents and the Statistical Physics of Random Codes [J] . Merhav N. IEEE Transactions on Information Theory . 2009,第1期

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2. Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics [J] . V I Klyatskin Physics - Uspekhi . 2004,第2期

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3. The Generalized Random Energy Model and its Application to the Statistical Physics of Ensembles of Hierarchical Codes [J] . Merhav N. Information Theory, IEEE Transactions on . 2009,第3期

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4. On the statistical physics of directed polymers in a random medium and their relation to tree codes [C] . IEEE International Symposium on Information Theory . 2009

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5. Some applications of topology and statistical physics to polymer physics and molecular biology. [D] . Lua, Rhonald Co. 2005

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7. On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree Codes [O] . Neri Merhav 2013

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8. Ray Statistics in a Random Medium with Stratified Background. Diffusion of Rays in Random Media [R] . Liu, C. H., Yeh, K. C. 1968

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On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree Codes

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