Computing invariant measures for expanding circle maps
Computing invariant measures for expanding circle maps
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DOI：
10.1088/0951-7715/11/1/004
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发表时间：
1998-01-01
期刊：
影响因子：
1.7
通讯作者：
Young, LS
中科院分区：
文献类型：
--
作者：
Keane, M;Murray, R;Young, LS
设f是一个充分展开的C(2)圆映射。证明了基于S(1)划分为2(N)个相等区间的马尔可夫近似方案产生一个概率测度，其与精确绝对连续不变测度的总变异范数距离以CN2（-N）为界；C是一个常数，只与映射f有关。
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.