Ergodicity of multiplicative statistics
Abstract
Description
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.
22 pages; added some references and corrected some typos
22 pages; added some references and corrected some typos