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arXiv · 1301.4033

Rigorous pointwise approximations for invariant densities of nonuniformly expanding maps

Wael Bahsoun·Christopher Bose·Yuejiao Duan
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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 $C^*\cdot\frac{\ln m}{m}$, where $C^*$ is a computable fixed constant and $m^{-1}$ is the mesh size of the discretization.

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Wael Bahsoun, Christopher Bose, Yuejiao Duan. 2013-07-19. Rigorous pointwise approximations for invariant densities of nonuniformly expanding maps. https://arxiv.org/abs/1301.4033

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