Total variation distance and the Erdős-Turán law for random permutations with polynomially growing cycle weights

DOI10.1214/15-AIHP692zbMath1382.60021arXiv1410.5406OpenAlexW2963544170MaRDI QIDQ503081

Julia Storm, Dirk Zeindler

Publication date: 11 January 2017

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5406

zbMATH Keywords

total variation distancerandom permutationsErdős-Turán lawpolynomially growing cycle weights

Mathematics Subject Classification ID

Combinatorial probability (60C05) Functional limit theorems; invariance principles (60F17) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Long cycle of random permutations with polynomially growing cycle weights ⋮ Random permutations with logarithmic cycle weights ⋮ Asymptotics with remainder term for moments of the total cycle number of random \(A\)-permutation ⋮ On the Order of Random Permutation with Cycle Weights

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