Invariant measures on polynomial quadratic Julia sets with no interior

Authors

  • Alfredo Poirier Schmitz Pontificia Universidad Católica del Perú
    Sección Matemáticas
    Departamento de Ciencias
    Pontificia Universidad Católica del Perú
    Av. Universitaria 1801, San Miguel, Lima 32, Perú
    apoirie@pucp.edu.pe

Keywords:

Holomorphic dynamics, iteration of polynomials, Mandelbrot set, invariant measures

Abstract

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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Published

2014-12-17

How to Cite

Poirier Schmitz, A. (2014). Invariant measures on polynomial quadratic Julia sets with no interior. Pro Mathematica, 28(56), 118–135. Retrieved from https://revistas.pucp.edu.pe/index.php/promathematica/article/view/11237

Issue

Vol. 28 No. 56 (2014)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

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