11 citations · 20 across the 6 of their papers we have counts for
6 papers
Central limit theorems with a rate of convergence for time-dependent intermittent maps
Olli Hella, Juho Leppänen
We study dynamical systems arising as time-dependent compositions of Pomeau-Manneville-type intermittent maps. We establish central limit theorems for appropriately scaled and cent…
Central limit theorems with a rate of convergence for sequences of transformations
Olli Hella
Using Stein's method, we prove an abstract result that yields multivariate central limit theorems with a rate of convergence for time-dependent dynamical systems. As examples we st…
Quenched normal approximation for random sequences of transformations
Olli Hella, Mikko Stenlund
We study random compositions of transformations having certain uniform fiberwise properties and prove bounds which in combination with other results yield a quenched central limit…
Algebraic structure of metric value sets
Olli Hella
We introduced the concept of a metric value set (MVS) in an earlier paper \cite{GM}. In this paper we study the algebraic structure of MVSs. For an MVS we define the concept of…
On the characterization of -metrizable spaces
Olli Hella
We introduced the concept of a metric value set (MVS) in an earlier paper \cite{GM} and developed the idea further in \cite{AS}. In this paper we study locally -metrizable space…
Stein's method for dynamical systems
Olli Hella, Juho Leppänen, Mikko Stenlund
We present an adaptation of Stein's method of normal approximation to the study of both discrete- and continuous-time dynamical systems. We obtain new correlation-decay conditions…