Submitted by ims_edit on Wed, 10/08/2025 - 15:12
preprint-id:
ims25-02
preprint-title:
Uniform a priori bounds for neutral renormalization. Variation II: -ql Siegel maps
preprint-abstract:
We extend uniform pseudo-Siegel bounds for neutral quadratic polynomials to 
-quadratic-like Siegel maps. In this form, the bounds are compatible with the -quadratic-like renormalization theory and are easily transferable to various families of rational maps. The main theorem states that the degeneration of a Siegel disk is equidistributed among combinatorial intervals. This provides… ▽ More
Submitted 30 September, 2025; v1 submitted 26 September, 2025; originally announced September 2025.
preprint-year:
2025