Bose-Einstein Condensation in the Large Deviations Regime with Applications to Information System Models

摘要: We study the large deviations behavior of systems that admit a certain form product distribution, which is frequently encountered both in Physics and various information system models. First, to fix ideas, we demonstrate simple calculation rate function for single constraint (event). Under conditions, this shown exhibit an analogue Bose-Einstein condensation (BEC). More interestingly, also associated with two constraints (and extension any number conceptually straightforward). The phase diagram as many seven phases, it suggests two-dimensional generalization notion BEC (or more generally, multi- dimensional BEC). While results are illustrated model, underlying principles actually rather general. discuss several applications implications pertaining