ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY
ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY
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代数动力学和代数熵
DOI：
10.1142/s0219887808003375
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发表时间：
2008
影响因子：
1.8
通讯作者：
C. Viallet
中科院分区：
文献类型：
--
作者：
C. Viallet
我们给出了代数熵的定义，它是一个整体指标的复杂性动力系统的合理发展。我们解释了它的几何意义，以及不同的方法，启发式或精确计算这个熵。这个量是一个非常好的可积性检测器。它还具有显着的属性，这使它本身成为一个有趣的研究对象。它特别是代数整数的对数，具有有限的值范围，仍有待探索。
We give the definition of algebraic entropy, which is a global index of complexity for dynamical systems with a rational evolution. We explain its geometrical meaning, and different methods, heuristic or exact to calculate this entropy. This quantity is a very good integrability detector. It also has remarkable properties, which make it an interesting object of study by itself. It is in particular conjectured to be the logarithm of algebraic integer, with a limited range of values, still to be explored.