On pairwise sensitivity
On pairwise sensitivity
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DOI：
10.1016/j.jmaa.2005.01.061
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发表时间：
2005-09
影响因子：
1.3
通讯作者：
B. Cadre;P. Jacob
中科院分区：
文献类型：
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作者：
B. Cadre;P. Jacob
定义了勒贝格度量空间上自同态关于初始条件的成对敏感度的概念。其思想是，两两敏感映射的几乎每一对邻近的初始点(对于不变度量的乘积)的轨道可能偏离与初始点无关的正量。研究了度量熵的配对灵敏度与弱混合、配对灵敏度与正性之间的关系，并计算了最大灵敏度常数。
We define the concept of pairwise sensitivity with respect to initial conditions for the endomorphisms on Lebesgue metric spaces. The idea is that the orbits of almost every pair of nearby initial points (for the product of the invariant measure) of a pairwise sensitive map may diverge from a positive quantity independent of the initial points. We study the relationships between pairwise sensitivity and weak mixing, pairwise sensitivity and positiveness of metric entropy and we compute the largest sensitivity constant.