Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations
Classical Analysis and ODEs
2026-04-30 v5
Abstract
We consider the conjugate equation driven by two families of finite maps on the unit interval satisfying a compatibility condition. This framework contains de Rham's functional equations. We give sufficient conditions for singularity of the solution with quantitative estimates in the case where the equation is driven by a family of non-affine maps and a family of linear fractional transformations.
Keywords
Cite
@article{arxiv.2407.11565,
title = {Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations},
author = {Kazuki Okamura},
journal= {arXiv preprint arXiv:2407.11565},
year = {2026}
}
Comments
28 pages; to appear in Results in Mathematics