The random energy model in a magnetic field and joint source–channel coding

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The Random Energy Model in a Magnetic Field and Joint Source–Channel Coding

We demonstrate that there is an intimate relationship between the magnetic properties of Derrida’s random energy model (REM) of spin glasses and the problem of joint source–channel coding in Information Theory. In particular, typical patterns of erroneously decoded messages in the coding problem have “magnetization” properties that are analogous to those of the REM in certain phases, where the ...

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IRWIN AND JOAN JACOBS CENTER FOR COMMUNICATION AND INFORMATION TECHNOLOGIES The Random Energy Model in a Magnetic Field and Joint Source-Channel Coding

We demonstrate that there is an intimate relationship between the magnetic properties of Derrida’s random energy model (REM) of spin glasses and the problem of joint source–channel coding in Information Theory. In particular, typical patterns of erroneously decoded messages in the coding problem have “magnetization” properties that are analogous to those of the REM in certain phases, where the ...

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ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 2008

ISSN: 0378-4371

DOI: 10.1016/j.physa.2008.05.040