PreprintarXiv licencearXiv
The Intersection of nested filled-in little Julia sets have zero area
Abstract
It is shown that for any infinitely renormalizable quadratic polynomial Qc the intersection K∞ of all the little filled-in Julia sets (renormalization Julia sets) containing the critical value have zero area.
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BibTeX
@misc{petersen2026intersection,
title = {{The Intersection of nested filled-in little Julia sets have zero area}},
author = {Carsten Lunde Petersen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33328},
eprint = {2610.33328},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33328},
}
RIS
TY - UNPB
TI - The Intersection of nested filled-in little Julia sets have zero area
AU - Carsten Lunde Petersen
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33328
UR - https://arxiv.org/abs/2610.33328
AB - It is shown that for any infinitely renormalizable quadratic polynomial Q_c the intersection K_∞ of all the little filled-in Julia sets (renormalization Julia sets) containing the critical value have zero area.
ER -