**Authors: **Genadi Levin Grzegorz Światek

**Publish Date**: 2005/03/22

**Volume:** 258, **Issue:** 1, **Pages:** 135-148

## Abstract

We consider unimodal polynomials with Feigenbaum topological type and critical points whose orders tend to infinity It is shown that the hyperbolic dimensions of their Julia set go to 2 furthermore that the Hausdorff dimensions of the basins of attraction of their Feigenbaum attractors also tend to 2 The proof is based on constructing a limiting dynamics with a flat critical point

**Keywords:**