Abstract

It is proved that Julia sets of parabolic rational maps are porous This implies that the box counting dimension of these Julia sets is always strictly less than two, which was shown before by Aaronson Denker and Urbanski using conformal measures Our proof uses only elementary techniques from complex analysis and iteration of rational maps.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.