Bounds for maps of an interval with one reflecting critical point. I
We prove real bounds for interval maps with one reflecting critical point.
Branched coverings and cubic Newton maps
We construct branched coverings such as matings and captures to describe the dynamics of every critically finite cubic Newton map. This gives a combinatorial model of the set of cubic Newton maps as the gluing of a subset of cubic polynomials with a part of the filled Julia set of a specific polynomial (Figure 1).