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Rigorous pointwise approximations for invariant densities of non-uniformly expanding maps
Published online by Cambridge University Press: 10 January 2014
Abstract
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 ${C}^{\ast } \cdot (\ln m)/ m$, where ${C}^{\ast } $ is a computable fixed constant and ${m}^{- 1} $ is the mesh size of the discretization.
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- © Cambridge University Press, 2014
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