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Computing invariant measures for expanding circle maps
<span title="1998-01-01">1998</span>
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<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q4aeha62d5f2hmm5rva4woaifq" style="color: black;">Nonlinearity</a>
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Let f be a sufficiently expanding C 2 circle map. We prove that a certain Markov approximation scheme based on a partition of S 1 into 2 N equal intervals produces a probability measure whose total variation norm distance from the exact absolutely continuous invariant measure is bounded by CN2-N; C is a constant depending only on the map f.
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