We show that addition mod 2n is CCZ-equivalent to a quadratic vectorial Boolean function. We use this to reduce the solution of systems of differential equations of addition to the solution of anâ€¦ (More)

We show that the supremum of the successive percentages of red balls in PÃ³lyaâ€™s urn model is almost surely rational, give the set of values that are taken with positive probability, and deriveâ€¦ (More)

We study in this paper a generalized coupon collector problem, which consists in analyzing the time needed to collect a given number of distinct coupons that are drawn from a set of coupons with anâ€¦ (More)

We study in this paper a generalized coupon collector problem, which consists in analyzing the time needed to collect a given number of distinct coupons that are drawn from a set of coupons with anâ€¦ (More)

We prove asymptotic normality of the distributions defined by q-supernomials, which implies asymptotic normality of the distributions given by the central string functions and the basicâ€¦ (More)

We show analogs of the classical arcsine theorem for the occupation time of a random walk in (âˆ’âˆž, 0) in the case of a small positive drift. To study the asymptotic behavior of the total time spent inâ€¦ (More)

The demand pooling anomaly of inventory theory of type F amounts to a kind of restricted order relation between the individual demands (assumed to be independent) and their average. In this paper,weâ€¦ (More)