Rigorous approximation of diffusion coefficients for expanding maps

2014/09/24 by Bahsoun, Wael, Galatolo, Stefano, Nisoli, Isaia +1 · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1409.6909

Abstract

We use Ulam's method to provide rigorous approximation of diffusion coefficients for uniformly expanding maps. An algorithm is provided and its implementation is illustrated using Lanford's map.

Cited by

• Efficient computation of stationary measures and the Lyapunov Landscape for families random dynamical systems with smooth additive noise
• A pseudospectral approach to rigorous numerical estimation of Ruelle resonances of transfer operators

Related

• Rigorous pointwise approximations for invariant densities of nonuniformly expanding maps
• Diffusion maps tailored to arbitrary non-degenerate Ito processes
• The Diffusion Coefficient For Piecewise Expanding Maps Of The Interval\n With Metastable States
• THE DIFFUSION COEFFICIENT FOR PIECEWISE EXPANDING MAPS OF THE INTERVAL WITH METASTABLE STATES
• The Mathematics of Diffusion