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Article Dans Une Revue Rivista di Matematica della Universita di Parma Année : 2017

Distribution of Points with Proscribed Derivative in Polynomial Dynamics

Résumé

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.
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Dates et versions

hal-03700892 , version 1 (21-06-2022)

Identifiants

  • HAL Id : hal-03700892 , version 1

Citer

T. Gauthier, G. Vigny. Distribution of Points with Proscribed Derivative in Polynomial Dynamics. Rivista di Matematica della Universita di Parma, 2017, 8 (2), pp.247--270. ⟨hal-03700892⟩
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