Invariant measures on polynomial quadratic Julia sets with no interior

Authors

  • Alfredo Poirier Schmitz Pontifical Catholic University of Peru image/svg+xml

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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Author Biography

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

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Published

2014-12-17

Issue

Vol. 28 No. 56 (2014)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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