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We summarize recent results on positive temperature equilibrium states oflarge bosonic systems. The emphasis will be on the connection between bosonicgrand-canonical thermal states and the (semi-) classical Gibbs measures onone-body quantum states built using the corresponding mean-field energyfunctionals. An illustrative comparison with the case of "distinguishable"particles (boltzons) is provided.

Bose Gases at Positive Temperature and Non-Linear Gibbs Measures