1 citations · 2 across the 3 of their papers we have counts for
5 papers
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics
Harry Crimmins, Yushi Nakano
For smooth random dynamical systems we consider the quenched linear and higher-order response of equivariant physical measures to perturbations of the random dynamics. We show that…
Quenched Poisson processes for random subshifts of finite type
Harry Crimmins, Benoît Saussol
In this paper we study the quenched distributions of hitting times for a class of random dynamical systems. We prove that hitting times to dynamically defined cylinders converge to…
Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles
Harry Crimmins
We consider the problem of stability and approximability of Oseledets splittings and Lyapunov exponents for Perron-Frobenius operator cocycles associated to random dynamical system…
Fourier approximation of the statistical properties of Anosov maps on tori
Harry Crimmins, Gary Froyland
We study the stability of statistical properties of Anosov maps on tori by examining the stability of the spectrum of an analytically twisted Perron-Frobenius operator on the aniso…
Stability and approximation of statistical limit laws for multidimensional piecewise expanding maps
Harry Crimmins, Gary Froyland
The unpredictability of chaotic nonlinear dynamics leads naturally to statistical descriptions, including probabilistic limit laws such as the central limit theorem and large devia…