Year: 2014
Type: article
Abstract: Non-invertible Pesin theory is developed for a class of piecewise smooth interval maps which may have unbounded derivative, but satisfy a property analogous to C 1 + ϵ . The critical points are not required to verify a non-flatness condition, so the results are applicable to C 1 + ϵ maps with flat critical points. If the critical points are too flat, then no absolutely continuous invariant probability measure can exist. This generalises a result of Benedicks and Misiurewicz.
Source: Annales de l’institut Fourier
DOI: 10.5802/aif.2858
Author: Neil Dobbs
Language: French
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1836856460