33 citations · 219 across the 21 of their papers we have counts for
16 papers · 1 filter
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…
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…
A note on the finite-dimensional distributions of dispersing billiard processes
Juho Leppänen, Mikko Stenlund
In this short note we consider the finite-dimensional distributions of sets of states generated by dispersing billiards with a random initial condition. We establish a functional c…
Quasistatic dynamics with intermittency
Juho Leppänen, Mikko Stenlund
We study an intermittent quasistatic dynamical system composed of nonuniformly hyperbolic Pomeau--Manneville maps with time-dependent parameters. We prove an ergodic theorem which…
An almost sure ergodic theorem for quasistatic dynamical systems
Mikko Stenlund
We prove almost sure ergodic theorems for a class of systems called quasistatic dynamical systems. These results are needed, because the usual theorem due to Birkhoff does not appl…
Quasistatic dynamical systems
Neil Dobbs, Mikko Stenlund
We introduce the notion of a quasistatic dynamical system, which generalizes that of an ordinary dynamical system. Quasistatic dynamical systems are inspired by the namesake proces…