Invariant measures on polynomial quadratic Julia sets with no interior
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Pontificia Universidad Católica del Perú
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Abstract
En este artículo caracterizamos medidas invariantes sobre conjuntos de Julia sin interior asociados con polinomios cuadráticos. Probamos que más allá de la medida armónica —la única par e invariante—, el resto son generadas por su parte impar.
We characterize invariant measures for quadratic polynomial Julia sets with no interior. We prove that besides the harmonic measure —the only one that is even and invariant—, all others are generated by a suitable odd measure.
We characterize invariant measures for quadratic polynomial Julia sets with no interior. We prove that besides the harmonic measure —the only one that is even and invariant—, all others are generated by a suitable odd measure.
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Holomorphic Dynamics, Iteration Of Polynomials, Mandelbrot Set, Invariant Measures, Dinámica Holomorfa, Iteración de Polinomios, Conjunto de Maldelbrot, Medidas Invariantes
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