Positive Liapunov exponents and absolute continuity for maps of the interval
Positive Liapunov exponents and absolute continuity for maps of the interval
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DOI：
10.1017/s0143385700001802
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发表时间：
1983-03
影响因子：
0.9
通讯作者：
P. Collet;J. Eckmann
中科院分区：
文献类型：
--
作者：
P. Collet;J. Eckmann
摘要 我们给出了区间单峰映射具有相对于勒贝格测度绝对连续的不变测度的充分条件。除了一些弱正则性假设外，该条件还要求临界点的前向和后向李雅普诺夫指数均为正值。
Abstract We give a sufficient condition for a unimodal map of the interval to have an invariant measure absolutely continuous with respect to the Lebesgue measure. Apart from some weak regularity assumptions, the condition requires positivity of the forward and backward Liapunov exponent of the critical point.