Kasun Fernando

activity

20182025

most citedEdgeworth expansions for weakly dependent random variables

25 citations · 28 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.DS2025

Statistical properties of mostly expanding fast-slow partially hyperbolic systems

Jacopo De Simoi, Kasun Fernando, Nicholas Fleming-Vázquez

We consider a class of fast-slow $C^{4}$ partially hyperbolic systems on $T^{2}$ given by $ε$ -perturbations of maps $F (x, θ) = (f (x, θ), θ)$ where $f (\cdot, θ)$ are $C^{4}$ expandin…

math.DS2025

Limit theorems for toral partially hyperbolic endomorphisms

Roberto Castorrini, Kasun Fernando

Under natural assumptions on the observable, we prove a Central Limit Theorem, a Berry-Esseen Theorem, and a quantitative Local Limit Theorem for a broad class of partially hyperbo…

math.DS2021

The Bootstrap for Dynamical Systems

Kasun Fernando, Nan Zou

Despite their deterministic nature, dynamical systems often exhibit seemingly random behaviour. Consequently, a dynamical system is usually represented by a probabilistic model of…