Entropy of Transcendental entire functions
Anna Miriam Benini, John Erik Forn{\ae}ss, Han Peters
TL;DR
This paper proves that all transcendental entire functions exhibit infinite topological entropy, highlighting their complex and chaotic dynamical behavior.
Contribution
It establishes a universal property of transcendental entire functions, showing they all have infinite topological entropy, which was previously unknown.
Findings
All transcendental entire functions have infinite topological entropy.
The result applies broadly to the class of transcendental entire functions.
It advances understanding of the dynamical complexity of these functions.
Abstract
We prove that all entire transcendental entire functions have infinite topological entropy.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.