Rigorous pointwise approximations for invariant densities of non-uniformly expanding maps
journal contributionposted on 25.05.2016, 13:39 by Wael BahsounWael Bahsoun, Christopher Bose, Yuejiao Duan
We use an Ulam-type discretization scheme to provide pointwise approximations for invariant densities of interval maps with a neutral fixed point. We prove that the approximate invariant density converges pointwise to the true density at a rate C∗⋅(lnm)/m, where C∗ is a computable fixed constant and m−1 is the mesh size of the discretization.
- Mathematical Sciences