Achievement of Bose-Einstein condensation in dilute gas by means of evaporative cooling has made headlines all over the world. The theory, originally developed for homogeneous systems, has been quickly modified to account for the trapping potential. For the most part, however, it is a mean field theory at zero absolute temperature. The most interesting features of any finite size multiparticle system are those related to statistics, fluctuations and coherence and the way these properties depend on temperature. This special issue deals with these features.

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