Ergodicity of multiplicative statistics
Combinatorics
2009-04-20 v2 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.0901.4655,
title = {Ergodicity of multiplicative statistics},
author = {Yuri Yakubovich},
journal= {arXiv preprint arXiv:0901.4655},
year = {2009}
}
Comments
22 pages; added some references and corrected some typos