论文标题
通用动作的熵不变
Entropy invariants of generic actions
论文作者
论文摘要
我们表明，典型的动态系统有时开始像具有小的经典熵的非确定性系统一样行为，并且这种行为持续很长时间，直到系统开始减少熵为止。再说一遍，它将在很长一段时间内几乎变得不确定性，但具有更小的古典熵。在这一事实上扮演并考虑具有衡量零透明转换的Sigma-Compact家族，例如矩形交换转换，我们选择了Kushnirenko熵，因此所考虑的转换相当于零，但是对于通用变换而言是无限的。
We show that the typical dynamical system sometimes begins to behave like a non-deterministic system with a small classical entropy, and this behavior lasts an extremely long time, until the system starts decreasing entropy. Then again it will become almost non-deterministic for a very very long time, but with more smaller classical entropy. Playing on this fact and considering sigma-compact families of measure-preserving zero-entropy transformations, for example, the rectangle exchange transformations, we choose the Kushnirenko entropy so that it is equal to zero for the transformations under consideration, but is infinite for the generic transformation.
