3 papers
math.DS2026
Functional correlation bound for random Lasota--Yorke maps with holes and its applications to conditional normal approximations
Juho Leppänen, Yuto Nakajima, Yushi Nakano
This paper investigates the statistical properties of random open dynamical systems generated by families of Lasota--Yorke maps. Open systems, in which trajectories may escape thro…
math.DS2026
A multivariate Berry--Esseen theorem for time-dependent expanding dynamical systems
Juho Leppänen
We adapt Stein's method to obtain Berry--Esseen type error bounds in the multivariate central limit theorem for non-stationary processes generated by time-dependent compositions of…
math.DS2025
Decay of correlations and limit theorems for random intermittent maps
Davor Dragicevic, Yeor Hafouta, Juho Leppanen
In this paper, we revisit the problem of polynomial memory loss and the central limit theorem for time-dependent LSV maps. More precisely, we show that for random LSV maps correspo…