Capacity regions of discrete asynchronous multiple access channels

Motivated by the importance of asynchronous multiple access channels we give an exact formalization. This formalization admits different distributions on delays. The two classical settings when the delay is uniformly distributed and when it is bounded are discussed as special cases of this model. Our method also allows for the analysis of a so far unexplored class of models, where the known distribution of the delay has a special form, leading to new interesting capacity regions.