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==== abstract ==== | ==== abstract ==== | ||
It will be explained how a correlation inequality of | It will be explained how a correlation inequality of | ||
+ | statistical mechanics can | ||
+ | be applied to the theory of low density parity check codes. Two | ||
+ | applications will be considered. | ||
+ | |||
+ | The first one yields a proof that the growth rate can be computed | ||
+ | exactly by iterative methods | ||
+ | at least on the interval where it is concave. The second concerns sharp | ||
+ | bounds for the | ||
+ | "generalised EXIT curve" in the case of communication through a noisy | ||
+ | gaussian channel. | ||