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• W2217380090 abstract "We consider geometric words ?1....?n with letters satisfying the restricted growth property ?k ? d + max{?0,...,?k-1}, where ?0 := 0 and d ? 1. For d = 1 these words are in 1-to-1 correspondence with set partitions and for this case, we show that the number of left-to-right maxima (suitable centered) does not converge to a fixed limit law as n tends to infinity. This becomes wrong for d ? 2, for which we prove that convergence does occur and the limit law is normal. Moreover, we also consider related quantities such as the value of the maximal letter and the number of maximal letters and show again non-convergence to a fixed limit law." @default.
• W2217380090 created "2016-06-24" @default.
• W2217380090 creator A5000390095 @default.
• W2217380090 creator A5018668884 @default.
• W2217380090 date "2015-01-01" @default.
• W2217380090 modified "2023-10-14" @default.
• W2217380090 title "Limit behavior of maxima in geometric words representing set partitions" @default.
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• W2217380090 doi "https://doi.org/10.2298/aadm150619013f" @default.
• W2217380090 hasPublicationYear "2015" @default.
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