一类非双曲鲁棒传递系统的内禀遍历性
Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems
摘要:
我们证明了最初由Mañé描述的一类鲁棒传递的自同构是内在遍历的。更确切地说,我们得到一个开集的同胚未能一致双曲,但仍然有恒定的熵和同构的最大熵的唯一措施。
英文摘要:
We show that a class of robustly transitive diffeomorphisms originally described by Mañé are intrinsically ergodic. More precisely we obtain an open set of diffeomorphisms which fail to be uniformly hyperbolic, but nevertheless have constant entropy and isomorphic unique measures of maximal entropy.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。