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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.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…