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On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers

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Science China Mathematics 2017年第12期60卷 2421-2428页

作者： dai xiongping LIANG HaiLan Department of Mathematics Nanjing University Department of Mathematics Fuzhou University

We generalize an important theorem of Fred Galvin from the Stone-Cˇech compactification βT of any discrete semigroup T to any compact Hausdorff right-topological semigroup with a dense topological center;and then apply it to Ellis' semigroups to prove that a point is distal if and only if it is IP*-recurrent, for any semiflow(T, X) with arbitrary compact Hausdorff phase space X not necessarily metrizable and with arbitrary phase semigroup T not necessarily cancelable.

关键词： Galvin’s theorem transformation semigroup Ellis’ semigroup distal point

Erratum to:On Galvin's theorem for compact Hausdorff right-topological semigroups with dense topological centers

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Science China Mathematics 2019年第12期62卷 2631-2632页

作者： xiongping dai Hailan Liang Department of Mathematics Nanjing UniversityNanjing 210093China Department of Mathematics Fuzhou UniversityFuzhou 350116China

In the third paragraph on p.2421 and in Theorem 1′ of[3]it is wrongly assumed that“the multiplication on a topological semigroup T can be extended to a right continuous multiplication on 0F”;in other words,we wrongly assume that“βT is a compact Hausdorff right-topological semigroup for any topological semigroup T”.So using[3,Theorem 1]we can only obtain the following two theorems in place of[3,Theorem 1′],where X' denotes the limit-point set of a space X and J(E)denotes the set of all idempotents in a compact Hausdorff right?topological semigroup E.

关键词： topological semigroup Hausdorff

Integral expressions of Lyapunov exponents for autonomous ordinary differential systems

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Science China Mathematics 2009年第1期52卷 195-216页

作者： dai xiongping Department of Mathematics, Nanjing University, Nanjing 210093, China 1. Department of Mathematics Nanjing University Nanjing 210093 China

In the paper, the author addresses the Lyapunov characteristic spectrum of an ergodic autonomous ordinary differential system on a complete riemannian manifold of finite dimension such as the d-dimensional euclidean space ? d , not necessarily compact, by Liaowise spectral theorems that give integral expressions of Lyapunov exponents. In the context of smooth linear skew-product flows with Polish driving systems, the results are still valid. This paper seems to be an interesting contribution to the stability theory of ordinary differential systems with non-compact phase spaces.

关键词： Lyapunov spectrum of differential system multiplicative ergodic theorem C 1-vector field smooth linear skew-product flow lifting of probability 34D08 37C10 60B05 37H15 28D10

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不同原因引起的支气管扩张影像学特点浅析

国际呼吸杂志 2017年第3期37卷 236-240页

作者：何雄平戴路明昆明市呈贡区人民医院重症医学科 650500 昆明医科大学第一一附属医院重症呼吸科 650000

支气管扩张是世界范围内发病率和患病率都很高的一种以气道病理性扩张为主要特点的疾病，其主要特点是大量的脓痰及反复的感染。很多不同的疾病都跟支气管扩张有关，而它们的治疗却大不相同。近年来，越来越多的研究发现了诸多证据并在... 详细信息

支气管扩张是世界范围内发病率和患病率都很高的一种以气道病理性扩张为主要特点的疾病，其主要特点是大量的脓痰及反复的感染。很多不同的疾病都跟支气管扩张有关，而它们的治疗却大不相同。近年来，越来越多的研究发现了诸多证据并在一定程度上帮助了我们进行病因学诊断，然而关于支气管扩张的病因学诊断仍然是一个难题。能否早期的得到病因学诊断对于支气管扩张患者的管理和预后都非常重要。区分导致支气管扩张的原发疾病可以帮助制定患者的个体化治疗方案。因此，本文旨在对常见的引起支气管扩张的疾病进行综述，评估他们的不同的影像学特点，希望对临床医生提供帮助。

关键词：支气管扩张影像学计算机断层扫描