On sparsity of integral points in orbits and correspondences with big pullbacks under iterates
Number Theory
2025-01-14 v2 Dynamical Systems
Abstract
We prove new unconditional results of sparsity of integral points on orbits under many maps and correspondences in arbitrary dimensions, generalizing theorems of Yasufuku(2015) and others. The main ingredients are new diophantine approximation tools and recent constructions for correspondences due to Ingram (2011).
Cite
@article{arxiv.2501.04642,
title = {On sparsity of integral points in orbits and correspondences with big pullbacks under iterates},
author = {Jorge Mello},
journal= {arXiv preprint arXiv:2501.04642},
year = {2025}
}