关于S^1上扩张映射的拓扑熵的改进

The Improvement of the Topological Entropy of Expansion Maps on S^1

对文献 [1 ]中圆周上扩张映射的拓扑熵的结论给予了改进 ,得到了结论 :设 f∈ Cr(S1 ,S1 )是扩张映射 ,则 ent(f) =log|deg(f) |.

In this paper, we improve the topological entropy of expansion maps on circles and prove that if f∈ C r(S 1,S 1) is a expansion map then ent(f)= log|deg (f) |.