%0 Journal Article %T Distribution of Points with Proscribed Derivative in Polynomial Dynamics %+ Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA) %A Gauthier, T. %A Vigny, G. %< avec comité de lecture %J Rivista di Matematica della Universita di Parma %V 8 %N 2 %P 247--270 %8 2017 %D 2017 %Z Mathematics [math]Journal articles %X In analogy to the cquidistribntion of preimages of a proscribed point by the iterates of a polynomial map / in C towards the equilibrium measure, we show here the equidistribution of points 2 for which (fn)'(z) = a for suitable a towards the equilibrium measure. We then give a similar statement in the space of degree d polynomials for the equidistribution of parameters for which the n-derivative at a given critical value has a prescribed derivative towards the activity current of the corresponding critical point. %G English %L hal-03700892 %U https://u-picardie.hal.science/hal-03700892 %~ CNRS %~ UNIV-PICARDIE %~ INSMI %~ U-PICARDIE %~ LAMFA