Fractals and the two dimensional Jacobian Conjecture
Ronen Peretz
TL;DR
This paper proposes a novel approach to the two-dimensional Jacobian Conjecture by applying fractal theory, aiming to provide new insights into this longstanding mathematical problem.
Contribution
It introduces a fractal-based framework to analyze the Jacobian Conjecture, offering a potentially new method for its proof.
Findings
Fractal theory applied to polynomial maps
Potential new pathway for Jacobian Conjecture proof
Framework may extend to higher dimensions
Abstract
We outline an approach to prove the two dimensional Jacobian Conjecture using the theory of fractals.
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.
Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals · Advanced Mathematical Theories and Applications