collaborators

5 papers

math.DS2018

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…

math.PR2018

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…

math.DS2018

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…

math.GM2017

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…

math.GN2017

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…