论文标题
分享多项式半群中最大熵的度量
Sharing a measure of maximal entropy in polynomial semigroups
论文作者
论文摘要
令$ p_1，p_2，\ dots，p_k $为学位的复杂多项式，至少两个不是同时偶联的单元或chebyshev polyenmials，$ s $由$ p_1，p_1，p_2，p_2，\ dots，p_k $。我们表明，$ s $的所有元素在且仅当主体权利理想的交叉点$ sp_1 \ cap sp_2 \ cap \ dots \ cap sp_k $是非空的时。
Let $P_1,P_2,\dots, P_k$ be complex polynomials of degree at least two that are not simultaneously conjugate to monomials or to Chebyshev polynomials, and $S$ the semigroup under composition generated by $P_1,P_2,\dots, P_k$. We show that all elements of $S$ share a measure of maximal entropy if and only if the intersection of principal right ideals $SP_1\cap SP_2\cap \dots \cap SP_k$ is non-empty.
