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  • 1 Université Libre de Bruxelles Département d'Informatique CP 212, Boulevard du Triomphe B-1050 Bruxelles Belgium CP 212, Boulevard du Triomphe B-1050 Bruxelles Belgium
  • 2 University of the Witwatersrand The John Knopfmacher, Centre for Applicable Analysis and Number Theory, School of Mathematics P.O. Wits 2050 Johannesburg South Africa P.O. Wits 2050 Johannesburg South Africa
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Abstract  

Carlitz considered in [5]

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$r \times n$$ \end{document}
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 formul for some moments even in the general instance of d dimensions (instead of just two).

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