双曲环面自同构(L_A)动力性态扭结拓扑分布定理

Knot Topology Distribution Theorem of Hyperbolic Torus Automorphism Dynamic Character

在计算机上构造ＬＡ的Ｍａｒｋｏｖ分解，给出了ＬＡ的高次动力性态，并发现ＬＡ动力性态的扭结拓扑不变性与Ｆｉｂｏｎａｃｃｉ级数有关．本文构造和证明了ＬＡ动力性态扭结拓扑分布定理，这一定理从分形理论上解释了“准晶体中原子排列的黄金中值律”．

Markov decomposition was constructed with computer algorithms. Higher order dynamic character of L A was given. Knot topology speciality of L A dynamic character was found related to Fibonacci series. Knot topology distribution theorem of hyperbolic torus automorphism dynamic character was constructed and proved,with which the golden median law of atomic arrangement in quasicrystals was explained.