On an evaluation function for heuristic search as a path problem
Consider a non-centered matrix with a separable variance profile: Matrices and are non-negative deterministic diagonal, while matrix is deterministic, and is a random matrix with complex independent and identically distributed random variables, each with mean zero and variance one. Denote by the resolvent associated to , i.e. Given two sequences of deterministic vectors and with bounded Euclidean norms, we study the limiting behavior of the random bilinear form: as the dimensions...
A general formalization is given for asynchronous multiple access channels which admits different assumptions on delays. This general framework allows the analysis of so far unexplored models leading to new interesting capacity regions. The main result is the single letter characterization of the capacity region in case of 3 senders, 2 synchronous with each other and the third not synchronous with them.
We introduce two new classes of codes, namely adjacent codes and codes with finite interpreting delay. For each class, we establish an extension of the defect theorem.