arXiv Open Access 2023

On periodic orbits of polynomial maps

Junho Peter Whang

Lihat Sumber

Abstrak

We prove the existence of an effective universal upper bound for the order of any integral periodic orbit of any integral algebraic dynamical system in a fixed ambient space. Using this, we demonstrate the decidability of periodicity in arbitrary finitely generated algebraic dynamical systems over fields of characteristic zero.

Topik & Kata Kunci

math.DS math.AG math.NT

Penulis (1)

Junho Peter Whang

Format Sitasi

APA MLA BibTeX

Whang, J.P. (2023). On periodic orbits of polynomial maps. https://arxiv.org/abs/2305.13529

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓