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Doron Gepner's word statistics, that came up in his research in conformalfield theory, is studied and it is conjectured that its scaled limitingdistribution is the Logistic distribution. We support this by provingrigorously that the scaled limits of the first twelve moments do indeedconverge to those of the Logistic distribution. This is surprising, sinceGepner's statistics is a natural analog of the classical statistics called thenumber of inversion, that is known to be asymptotically normal.

Doron Gepner's Statistics on Words in {1,2,3} is (most probably) Asymptotically Logistic