论文标题
扩展的Kolmogorov熵
Extended Kolmogorov Entropy
论文作者
论文摘要
Kolmogorov熵允许将具有等效连续频谱的动态系统拆分为非同形子类。在本文中，我们试图概括熵的概念，该概念将允许以等效的连续光谱和等效的kolmogorov熵分裂为更细的非同构亚类。我们将定义并计算圆环上双曲线自动构造的新的度量不变。圆环上的双曲系统是高能物理学中蒙特卡洛（MC）模拟的完美伪数量发生器，而新的Mutrical不变性可以在MC发电机具有相等的熵时对MC发电机的表征进行更精细的表征。
The Kolmogorov entropy allows to split the dynamical systems that have equivalent continuous spectrum into non-isomorphic subclasses. In this paper we make an attempt to generalise the concept of entropy that will allow to split the systems with equivalent continuous spectrum and equal Kolmogorov entropies into finer non-isomorphic subclasses. We will define and calculate the new metrical invariant for the hyperbolic automorphisms on a torus. The hyperbolic systems on a torus are perfect pseudorandom number generators for the Monte-Carlo (MC) simulations in high energy physics, and the new metrical invariant allows a finer characterisation of the MC generators when they have equal entropies.
