25 citations · 28 across the 6 of their papers we have counts for
6 papers
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 partially hyperbolic systems on given by -perturbations of maps where are expandin…
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…
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…
Higher order asymptotics for large deviations -- Part II
Kasun Fernando, Pratima Hebbar
We obtain asymptotic expansions for the large deviation principle (LDP) for continuous time stochastic processes with weakly dependent increments. As a key example, we show that ad…
Higher order asymptotics for large deviations -- Part I
Kasun Fernando, Pratima Hebbar
For sequences of non-lattice weakly dependent random variables, we obtain asymptotic expansions for Large Deviation Principles. These expansions, commonly referred to as strong lar…
Edgeworth expansions for weakly dependent random variables
Kasun Fernando, Carlangelo Liverani
We discuss sufficient conditions that guarantee the existence of asymptotic expansions for the Central Limit Theorem for weakly dependent random variables including observations ar…