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math.DS2023
Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis"
Kasun Fernando, Tanja I. Schindler
We prove the Central Limit Theorem (CLT), the first order Edgeworth Expansion and a Mixing Local Central Limit Theorem (MLCLT) for Birkhoff sums of a class of unbounded heavily osc…
math.DS2020★ 19 cited
Expansions in the local and the central limit theorems for dynamical systems
Kasun Fernando, Françoise Pène
We study higher order expansions both in the Berry-Esséen estimate (Edgeworth expansions) and in the local limit theorems for Birkhoff sums of chaotic probability preserving dynami…