Let P and AC be two primary sequences with min{P, AC} RLR<sup>∞</sup>,ρ（P） and p（AC） be the eigenvalues of P and AC, respectively. Let f ∈ C<sup>0</sup>（I, I） be a unimodal expanding m...Let P and AC be two primary sequences with min{P, AC} RLR<sup>∞</sup>,ρ（P） and p（AC） be the eigenvalues of P and AC, respectively. Let f ∈ C<sup>0</sup>（I, I） be a unimodal expanding map with expanding constant λ and m be a nonegative integer. It is proved that f has the kneading sequence K（f） （RC）<sup>*m</sup> * P if λ （ρ（P））<sup>1/2<sup>m</sup></sup>, and K（f）】（RC）<sup>*m</sup> * AC * E for any shift maximal sequence E if λ】（ρ（AC））<sup>1/2<sup>m</sup></sup>. The value of （ρ（P））<sup>1/2<sup>m</sup></sup> or （ρ（AC））<sup>1/2<sup>m</sup></sup> is the best possible in the sense that the related conclusion may not be true if it is replaced by any smaller one.展开更多
This paper is contributed to the combinatorial properties of the MSS sequences, which are the periodic kneading words of quadratic maps defined on a interval. An explicit expression of adjacency relations on MSS seque...This paper is contributed to the combinatorial properties of the MSS sequences, which are the periodic kneading words of quadratic maps defined on a interval. An explicit expression of adjacency relations on MSS sequences of given lengths is established.展开更多
This paper is contributed to the combinatorial properties of the periodic kneading words of antisymmetric cubic maps defined on a interval. The least words of given lengths, the adjacency relations on the words of giv...This paper is contributed to the combinatorial properties of the periodic kneading words of antisymmetric cubic maps defined on a interval. The least words of given lengths, the adjacency relations on the words of given lengths and the parity-alternative property in some sets of such words are established.展开更多
基金Project supported by the National Natural Science Foundation of China
文摘Let P and AC be two primary sequences with min{P, AC} RLR<sup>∞</sup>,ρ（P） and p（AC） be the eigenvalues of P and AC, respectively. Let f ∈ C<sup>0</sup>（I, I） be a unimodal expanding map with expanding constant λ and m be a nonegative integer. It is proved that f has the kneading sequence K（f） （RC）<sup>*m</sup> * P if λ （ρ（P））<sup>1/2<sup>m</sup></sup>, and K（f）】（RC）<sup>*m</sup> * AC * E for any shift maximal sequence E if λ】（ρ（AC））<sup>1/2<sup>m</sup></sup>. The value of （ρ（P））<sup>1/2<sup>m</sup></sup> or （ρ（AC））<sup>1/2<sup>m</sup></sup> is the best possible in the sense that the related conclusion may not be true if it is replaced by any smaller one.
基金the National Natural Science Foundation of China (Grant No.10731040)
文摘This paper is contributed to the combinatorial properties of the MSS sequences, which are the periodic kneading words of quadratic maps defined on a interval. An explicit expression of adjacency relations on MSS sequences of given lengths is established.
基金the National Natural Science Foundation of China (Grant No.10731040)
文摘This paper is contributed to the combinatorial properties of the periodic kneading words of antisymmetric cubic maps defined on a interval. The least words of given lengths, the adjacency relations on the words of given lengths and the parity-alternative property in some sets of such words are established.
