2 papers
math.DS2008
Higher order Schwarzian derivatives in interval dynamics
O. Kozlovski, D. Sands
We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps…
math.DS2006
Metric attractors for smooth unimodal maps
Jacek Graczyk, Duncan Sands, Grzegorz Swiatek
We classify the measure theoretic attractors of general C^3 unimodal maps with quadratic critical points. The main ingredient is the decay of geometry.