Unified derivation of the limit shape for a "conservative" ensemble of random partitions

Details Unified derivation of the limit shape for a "conservative" ensemble of random partitions Unified derivation of the limit shape for a "conservative" ensemble of random partitions

2011-11-14

arxiv.org/abs/1111.3311v1

Mathematics

Probability

29 pages, 3 figures

Scientific paper

We derive the limit shape of Young diagrams, associated with growing integer partitions, for a wide class of "conservative" multiplicative probability measures underpinned by the generating functions of the form F(z)=\prod_{\ell=1}^\infty f(z^\ell) (0

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