On Entropy and Monotonicity for Real Cubic Maps
On Entropy and Monotonicity for Real Cubic Maps
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DOI：
10.1007/s002200050018
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发表时间：
1998-09
影响因子：
2.4
通讯作者：
J. Milnor;C. Tresser
中科院分区：
文献类型：
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作者：
J. Milnor;C. Tresser
考虑区间到其自身的真实的三次映射，其前导系数可以是正的，也可以是负的。本文完成了参数空间中常拓扑熵的轨迹是连通集的单调性猜想的证明。证明主要利用了Christopher Heckman的论文，并基于对Tresser和R.麦凯
Consider real cubic maps of the interval onto itself, either with positive or with negative leading coefficient. This paper completes the proof of the “monotonicity conjecture”, which asserts that each locus of constant topological entropy in parameter space is a connected set. The proof makes essential use of the thesis of Christopher Heckman, and is based on the study of “bones” in the parameter triangle as defined by Tresser and R. MacKay.