Rigorous pointwise approximations of invariant densities for intermittent maps with a critical point

Hongfei Cui and Shiguang Li

Chaos, Solitons & Fractals, 2025, vol. 198, issue C

Abstract: For piecewise convex intermittent maps with a critical point, we show that the invariant density can be approximated pointwise by a Ulam-type discretization scheme. Additionally, we establish that the approximate invariant density converges pointwise to the true density at a rate of C∗x⋅lnmm for x∈(0,1], where C∗ is a computable constant, and m−1 represents the mesh size of the discretization.

Keywords: Intermittent maps; Invariant density; Ulam’s method; Pointwise approximations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005338

DOI: 10.1016/j.chaos.2025.116520

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