Ergodicity of multiplicative statistics

DOI10.1016/j.jcta.2012.03.002zbMath1242.05021arXiv0901.4655OpenAlexW2025135300MaRDI QIDQ423646

Yuri V. Yakubovich

Publication date: 4 June 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4655

zbMATH Keywords

ergodicityinteger partitionlimit shapemultiplicative measuresdegenerate limit

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17)

Related Items (16)

Unified derivation of the limit shape for multiplicative ensembles of random integer partitions with equiweighted parts ⋮ On the second order fluctuations for minimal difference partitions ⋮ On hydrodynamic limits of Young diagrams ⋮ On the fluctuations for multiplicative ensembles of random integer partitions with equiweighted parts ⋮ Limit shape of random convex polygonal lines: even more universality ⋮ Limiting shapes of birth-and-death processes on Young diagrams ⋮ Developments in the Khintchine-Meinardus probabilistic method for asymptotic enumeration ⋮ Statistical structure of concave compositions ⋮ Asymptotic enumeration by Khintchine-Meinardus probabilistic method: necessary and sufficient conditions for sub-exponential growth ⋮ Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom ⋮ On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators ⋮ A probabilistic interpretation of the Macdonald polynomials ⋮ An exponential limit shape of random $q$-proportion Bulgarian solitaire ⋮ Limit shape of minimal difference partitions and fractional statistics ⋮ Limit Shapes via Bijections ⋮ On Dyson’s crank distribution conjecture and its generalizations

Uses Software

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