Submitted by ims_edit on Wed, 02/11/2026 - 12:33
preprint-id:
preprint-title:
A priori bounds for some infinitely renormalizable quadratic: IV. Elephant Eyes
preprint-abstract:
In this paper we prove a priori bounds for an ``elephant eye'' combinatorics. Little 
-copies specifying these combinatorics are allowed to converge to the cusp of the Mandelbrot set. To handle it, we develope a new geometric tool: uniform thin-thick decompositions for bordered Riemann surfaces.
Submitted 29 January, 2026; originally announced January 2026.
preprint-year:
2026