具有连续分拆单位的熵结构
Entropy structures with continuous partitions of unity
AI总结：
本文利用连续分拆单位，重新定义了连续自映射的度量、拓扑和拓扑尾熵及压力及其条件版本，并证明了新的尾变分原理，扩展了Downarowicz的候选和熵结构概念，回答了Newhouse提出的问题。
摘要：
利用仅有的连续分拆单位，我们为连续自映射的紧集的度量、拓扑和拓扑尾熵及压力及其条件版本提供了等价定义，并证明了这些新定义的尾变分原理。我们扩展了Downarowicz关于候选和熵结构的概念，以应对从新定义中出现的几乎递增函数序列。最后，我们推导出对Newhouse提出的问题的一个部分回答。
英文摘要：
Using only continuous partitions of unity, we provide equivalent definitions for the metric, topological and topological tail entropies and pressures of a continuous self-map of a compact set, as well as their conditional versions. A tail variational principle for these new definitions is proved. We extend Downarowicz's notions of candidates and entropy structures to account for almost-increasing sequences of functions arising from the new definitions. Finally, we deduce a partial answer to a question raised by Newhouse.
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。
