15 citations · 33 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
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…
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…
Intermittent quasistatic dynamical systems: weak convergence of fluctuations
Juho Leppänen
This paper is about statistical properties of quasistatic dynamical systems. These are a class of non-stationary systems that model situations where the dynamics change very slowly…
Functional correlation decay and multivariate normal approximation for non-uniformly expanding maps
Juho Leppänen
In the setting of intermittent Pomeau-Manneville maps with time dependent parameters, we show a functional correlation bound widely useful for the analysis of the statistical prope…