2 papers
math.DS2026
ACIM instability of piecewise expanding maps through the lens of metastability
Ábel Komálovics, Péter Bálint
Motivated by Keller's W-shaped maps and its variants, we introduce a general class of families of expanding maps such that the perturbed maps have a shrinking almost invariant neig…
math.DS2025
Improved estimates of statistical properties in some non-uniformly hyperbolic dynamical systems
Péter Bálint, Ábel Komálovics
Building upon previous works by Young, Chernov-Zhang and Bruin-Melbourne-Terhesiu, we present a general scheme to improve bounds on the statistical properties (in particular, decay…