Transcendental Julia sets of positive finite Lebesgue measure

We show that there exists a transcendental entire function whose Julia set has positive finite Lebesgue measure.

Authors

Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2024-11-04
DOI
https://doi.org/10.1090/proc/16450
Citations
2
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
1.78
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Transcendental Julia sets of positive finite Lebesgue measure

Mareike Wolff
2 citations
Proceedings of the American Mathematical Society
Mathematical Dynamics and Fractals
1.78
article

Transcendental Julia sets of positive finite Lebesgue measure

Mareike Wolff
article en
2 citations

Abstract

We show that there exists a transcendental entire function whose Julia set has positive finite Lebesgue measure.

Proceedings of the American Mathematical SocietyVol. 153(1)
Reduced inequalities
Openalex Percentile: Top 16%
Mathematical Dynamics and Fractals
1.78
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Transcendental Julia sets of positive finite Lebesgue measure — Mareike Wolff · Proceedings of the American Mathematical Society (2024) | TGRS Research Map | TGRS