3 papers
math.DS2025
A pseudospectral approach to rigorous numerical estimation of resonances of transfer operators
Alex Blumenthal, Isaia Nisoli, Toby Taylor-Crush
{Ruelle-Pollicott} resonances, isolated eigenvalues of a transfer operator acting on suitably chosen Banach spaces, play a fundamental role in understanding the statistical propert…
math.DS2022
Rigorous Computation of Linear Response for Intermittent Maps
Isaia Nisoli, Toby Taylor-Crush
We present a rigorous numerical scheme for the approximation of the linear response of the invariant density of a map with an indifferent fixed point, with explicit and computed es…
math.DS2019
On the regularity and approximation of invariant densities for random continued fractions
Toby Taylor-Crush
We study perturbations of random dynamical systems whose associated transfer operators admit a uniform spectral gap. We provide a -order approximation for the invari…