Profiles of permutations.
Lugo, Michael (2009)
The Electronic Journal of Combinatorics [electronic only]
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Lugo, Michael (2009)
The Electronic Journal of Combinatorics [electronic only]
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Ashkan Nikeghbali, Dirk Zeindler (2013)
Annales de l'I.H.P. Probabilités et statistiques
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The goal of this paper is to analyse the asymptotic behaviour of the cycle process and the total number of cycles of weighted and generalized weighted random permutations which are relevant models in physics and which extend the Ewens measure. We combine tools from combinatorics and complex analysis (e.g. singularity analysis of generating functions) to prove that under some analytic conditions (on relevant generating functions) the cycle process converges to a vector of independent...
Borodin, Alexei (1999)
The Electronic Journal of Combinatorics [electronic only]
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Evans, Steven N. (2002)
Electronic Journal of Probability [electronic only]
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Stark, Dudley (2004)
The Electronic Journal of Combinatorics [electronic only]
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Pitman, Jim, Yor, Marc (1996)
Electronic Journal of Probability [electronic only]
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Adell, José A., Anoz, José M., Lekuona, Alberto (2009)
Journal of Inequalities and Applications [electronic only]
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Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Jérôme Dedecker, Sana Louhichi (2005)
ESAIM: Probability and Statistics
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We continue the investigation started in a previous paper, on weak convergence to infinitely divisible distributions with finite variance. In the present paper, we study this problem for some weakly dependent random variables, including in particular associated sequences. We obtain minimal conditions expressed in terms of individual random variables. As in the i.i.d. case, we describe the convergence to the gaussian and the purely non-gaussian parts of the infinitely divisible limit....
Gnedin, Alexander V. (2010)
Probability Surveys [electronic only]
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