Year: 2026
Type: preprint
Abstract: We introduce expanding strong positive recurrence (expanding-SPR) for non-invertible systems with critical points. We then give a sufficient condition for maps to be SPR: strong entropy expansion (SEE). We prove that expanding-SPR implies good thermodynamical properties, including exponential decay of correlations of Hölder observables for the measures of maximal entropy. The class of maps that are SEE includes all C^{\infty}-interval maps with h_{top}(f )>0 and all Viana maps.
Source: arXiv (Cornell University)
Authors: Delplanque, Alexandre, Li, Hengyi
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223200838