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arXiv · 2407.11565

Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations

Kazuki Okamura
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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.

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Kazuki Okamura. 2024-07-16. Quantitative estimates for singularity for conjugate equations driven by linear fractional transformations. https://doi.org/10.1007/s00025-026-02656-x

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