Ergodicity of multiplicative statistics

Details Ergodicity of multiplicative statistics Ergodicity of multiplicative statistics

2009-01-29

arxiv.org/abs/0901.4655v2

Mathematics

Combinatorics

22 pages; added some references and corrected some typos

Scientific paper

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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