A Palm theory approach to error exponents

We define a class of problems in the theory of Euclidean point processes, motivated by the study of the error exponent (reliability function) for additive noise channels. For the case of Gaussian noise this gives an interesting perspective on the Poltyrev exponent. It also suggests an approach to attack the long standing gap between the best known upper and lower bounds on the reliability function of the traditional AWGN channel, using techniques from point process theory.