Ergodicity of multiplicative statistics
classification
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math.PR
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limitmultiplicativepartitionsshapesomeassociatedcertainconditions
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For a subfamily of multiplicative measures on integer partitions we give conditions for properly rescaled associated Young diagrams to converge in probability to a certain deterministic curve named the limit shape of partitions. We provide explicit formulas for the scaling function and the limit shape covering some known and some new examples.
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