2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59269The limiting distribution μof the normalized number of key comparisons required by the Quicksort sorting algorithm is known to be the unique fixed point of a certain distributional transformation T -- unique, that is, subject to the constraints of zero mean and finite variance. We show that a distribution is a fixed point of T if and only if it is the convolution of μwith a Cauchy distribution of arbitrary center and scale. In particular, therefore, μis the unique fixed point of T having zero mean.9 pages. See also http://www.mts.jhu.edu/~fill/ and http://www.math.uu.se/~svante/papers . Submitted for publication in May,2000ProbabilityData Structures and Algorithms68W40 (primary), 60E05, 60E10, 68P10 (secondary)text