Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations
arXiv:2407.11565 · doi:10.1007/s00025-026-02656-x
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.
28 pages; to appear in Results in Mathematics