Invariant measures on polynomial quadratic Julia sets with no interior

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.

Autor Principal: Poirier Schmitz, Alfredo
Formato: Artículo
Idioma: spa
Publicado: Pontificia Universidad Católica del Perú 2014
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Acceso en línea: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/11237/11749
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Sumario: 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.