Exact dynamical systems and the Frobenius-Perron operator
Exact dynamical systems and the Frobenius-Perron operator
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DOI：
10.1090/s0002-9947-1982-0664049-x
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发表时间：
1982
影响因子：
1.3
通讯作者：
A. Lasota;J. Yorke
中科院分区：
文献类型：
--
作者：
A. Lasota;J. Yorke
.研究了测度空间上可测映射的正合性条件。主要应用是[0，1]上的某些分段连续映射T，其中7”（0）> 1。我们假设[0，1]可以被分解成区间，在区间上T是连续的和凸的，并且在这些区间的左端T = 0并且dt/dx > 0。这样的映射有一个不变的绝对连续密度，它是精确的。
. Conditions are investigated which guarantee exactness for measurable maps on measure spaces. The main application is to certain piecewise continuous maps T on [0,1] for which 7"(0) > 1. We assume [0,1] can be broken into intervals on which T is continuous and convex and at the left end of these intervals T = 0 and dt/dx > 0. Such maps have an invariant absolutely continuous density which is exact.