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.DS2020
Loss of memory and moment bounds for nonstationary intermittent dynamical systems
Alexey Korepanov, Juho Leppänen
We study nonstationary intermittent dynamical systems, such as compositions of a (deterministic) sequence of Pomeau-Manneville maps. We prove two main results: sharp bounds on memo…
math.DS2019
Sunklodas' approach to normal approximation for time-dependent dynamical systems
Juho Leppänen, Mikko Stenlund
We consider time-dependent dynamical systems arising as sequential compositions of self-maps of a probability space. We establish conditions under which the Birkhoff sums for multi…