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• W813446852 abstract "In this work we are considering the behaviour of the limit shape of Young diagrams associated to random permutations on the set {1, . . . , n} under a particular class of multiplicative measures with polynomial growing cycle weights. Our method is based on generating functions and complex analysis (saddle point method). We show that fluctuations near a point behave like a normal random variable and that the joint fluctuations at different points of the limiting shape have an unexpected dependence structure. We will also compare our approach with the so-called randomization of the cycle counts of permutations and we will study the convergence of the limit shape to a continuous stochastic process" @default.
• W813446852 created "2016-06-24" @default.
• W813446852 creator A5006783559 @default.
• W813446852 creator A5091435234 @default.
• W813446852 date "2015-01-01" @default.
• W813446852 modified "2023-09-27" @default.
• W813446852 title "The limit shape of random permutations with polynomially growing cycle weights" @default.
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• W813446852 hasPublicationYear "2015" @default.
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