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VIDEO LIBRARY |
School-Seminar "Interaction of Mathematics and Physics: New Perspectives" for graduate students and young researchers
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BE-condensation from mathematical point of view, and statistical mechanics of the Euler's partitio numerorum Anatoly Vershik St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences |
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Abstract: It is well-known that statistics of the partitions of natural numbers (Young diagrams) is the same as the energy statistics of quantum ideal gas models. The new thing which had been appeared recently is the progress in the theory of limit shapes (limit distribution) under the consistent growth of the energy and number of particles (number of summands). This analysis allows us to give pure mathematical exact interpretation of Bose-Einstein condensation in dimensions |