Nicholas Fleming-V'azquez

collaborators

3 papers

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

Rates of convergence in the multivariate weak invariance principle for nonuniformly hyperbolic maps

Nicholas Fleming-Vázquez

We obtain rates of convergence in the weak invariance principle (functional central limit theorem) for $R^{d}$ -valued Hölder observables of nonuniformly hyperbolic maps. In…

math.DS2023

Functional correlation bounds and deterministic homogenisation of fast-slow systems

Nicholas Fleming-Vázquez

We give elementary and explicit sufficient conditions (in particular, a functional correlation bound) for deterministic homogenisation (convergence to a stochastic differential equ…