Abstract. We study expansions in non-integer negative base - introduced by Ito and Sadahiro [7]. Using countable automata associated with (-)-expansions, we characterize the case w...
Abstract. For 3 different versions of q-tangent resp. q-cotangent functions, we compute the continued fraction expansion explicitly, by guessing the relative quantities and proving...
ABSTRACT. We prove the rationality of the generating function associated to the number of equivalence classes of Fqk -points of a constructible equivalence relation defined over t...
Abstract. We formally study two privacy-type properties in online auction protocols, bidding-price-secrecy and receipt-freeness. These properties are formalised as observational eq...
Abstract. We perform a smoothed analysis of the condition number of rectangular matrices. We prove that, asymptotically, the expected value of this condition number depends only of...