Abstract:A Large Deviations Principle (LDP), demonstrated for occupancy problems with indistinguishable balls, is generalized to the case in which balls may be distinguished by a finite number of colors. The colors of the balls are chosen independently from the occupancy process itself. There are r balls thrown into n urns with the probability of a ball entering a given urn being 1/n (Maxwell-Boltzman statistics). The LDP applies with the scale parameter n going to infinity and the number of balls increasing proportion… Show more
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