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Random 0-1 rectangular matrices: A probabilistic analysis

par Louchard, Guy ;Prodinger, Helmut
Référence Periodica mathematica Hungarica, 47, 1-2, page (169-193)
Publication Publié, 2003

Article révisé par les pairs

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Résumé :

Carlitz considered in [5] r x n matrices with entries being zero or one and the number of changes, i.e., the number of (horizontally or vertically) adjacent entries which are different. We extend these results in many ways. For instance, we exhibit that the limiting distribution is Gaussian and get explicit formulæ for some moments even in the general instance of d dimensions (instead of just two). © Akadémiai Kiadó.