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math.DS2016
Distribution of points with prescribed derivative in polynomial dynamics
Thomas Gauthier, Gabriel Vigny
In analogy to the equidistribution of preimages of a prescribed point by the iterates of a polynomial map in the complex plane towards the equilibrium measure, we show here the equ…
math.DS2016
Classification of special curves in the space of cubic polynomials
Charles Favre, Thomas Gauthier
We describe all special curves in the parameter space of complex cubic polynomials, that is all algebraic irreducible curves containing infinitely many post-critically finite polyn…