This paper describes briefly the current mathematical models upon which communication theory is based, and presents in some detail an exposition and partial critique of C. E. Shannon's treatment of one such model. It then presents a general limit theorem in the theory of discrete stochastic processes, suggested by a result of Shannon's.
"The Basic Theorems of Information Theory." Ann. Math. Statist. 24 (2) 196 - 219, June, 1953. https://doi.org/10.1214/aoms/1177729028