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| 1 | THE HAUSDORFF CENTRED MEASURE OF THE SYMMETRY CANTOR SETS显示文摘Let 0<λ≤1/3,K (λ) be the attractor of an iterated function system { ψ1,ψ2 } on the line, where ψ1 (x ) =λx, ψ2(x)=1-λ+λx, x∈ [0,1]. We call K (λ) the symmetry Cantor sets. In this paper, we obtained the exact Hausdorff Centred measure of K (λ). | Zhu Zhiwei and Zhou Zuoling (Zhongshan Univeristy, China) | 2002 | Approximation Theory and Its Applications2002,18,2: | 8 |
| 2 | On quasi-weakly almost periodic points显示文摘The core problem of dynamical systems is to study the asymptotic behaviors of orbits and their topological structures. It is well known that the orbits with certain recurrence and generating ergodic (or invariant) measures are important, such orbits form a full measure set for all invariant measures of the system, its closure is called the measure center of the system. To investigate this set, Zhou introduced the notions of weakly almost periodic point and quasi-weakly almost periodic point in 1990s, and presented some open problems on complexity of discrete dynamical systems in 2004. One of the open problems is as follows: for a quasi-weakly almost periodic point but not weakly almost periodic, is there an invariant measure generated by its orbit such that the support of this measure is equal to its minimal center of attraction (a closed invariant set which attracts its orbit statistically for every point and has no proper subset with this property)? Up to now, the problem remains open. In this paper, we construct two points in the one-sided shift system of two symbols, each of them generates a sub-shift system. One gives a positive answer to the question above, the other answers in the negative. Thus we solve the open problem completely. More important, the two examples show that a proper quasi-weakly almost periodic orbit behaves very differently with weakly almost periodic orbit. | HE WeiHong YIN JianDong ZHOU ZuoLing | 2013 | Science China Mathematics2013,56,3: | 7 |
| 3 | High-resolution carbon isotope record for the Paleocene-Eocene thermal maximum from the Nanyang Basin,Central China显示文摘古新始新世的热最大值(PETM ) 是全球温暖的一个短暂事件,与发生在古新 / 始新世的边界的巨大的大气的温室气体输入联系了。Biostratigraphic 和同位素 stratigraphic 研究显示 PETM 事件很好在 Nanyang 盆在 Yuhuangding 节的泥土存款被记录,华中,与碳同位素,在 19-m-thick 泥土以内的锝 ?.1 鈥 ? 的否定旅行扔。这是到目前为止在世界上发现的 PETM 的最高的分辨率记录。PETM 事件在 2-cm-thick 泥土沉积以内被触发,与未 1 3C (稳定的碳同位素比率) 从的减少 ? 3.2 鈥 ? 到 ? 5.2 鈥吗?为是的一个短暂时期建议一个巨大的甲烷水合物版本可能由一个灾难的事件引起了。在海洋、陆上的记录之间的比较为 PETM 事件显示鈥淭h ree 阶段模型鈥 ? 。开始在未 1 3C 记录有一次快速的否定旅行,由一个慢慢地减少的趋势,然后渐渐的积极恢复列在后面,相应分别地到海洋的甲烷水合物的快速的分离,由甲烷然后释放甲烷的消费的一个慢版本列在后面。 | ZHU Min DINGZhongLi WANG Xu CHEN ZuoLing JIANG HanChao DONG XinXin JI JunLiang TANG ZiHua LUO Pan | 2010 | Chinese Science Bulletin2010,55,31: | 6 |
| 4 | A Characterization of Topologically Transitive Attributes for a Class of Dynamical Systems显示文摘In this work,by virtue of the properties of weakly almost periodic points of a dynamical system(X,T) with at least two points,the authors prove that,if the measure center M(T) of T is the whole space,that is,M(T) = X,then the following statements are equivalent:(1)(X,T) is ergodic mixing;(2)(X,T) is topologically double ergodic;(3)(X,T) is weak mixing;(4)(X,T) is extremely scattering;(5)(X,T) is strong scattering;(6)(X×X,T×T) is strong scattering;(7)(X×X,T×T) is extremely scattering;(8) For any subset S of N with upper density 1,there is a c-dense Fσ-chaotic set with respect to S.As an application,the authors show that,for the sub-shift σA of finite type determined by a k×k-(0,1) matrix A,σA is strong mixing if and only if σA is totally transitive. | Jiandong YIN Zuoling ZHOU | 2012 | Chinese Annals of Mathematics,Series B2012,33,3: | 4 |
| 5 | Fiber gas sensor-integrated smart face mask for roomtemperature distinguishing of target gases显示文摘小、便携式、便宜的便携煤气的传感器在人的健康并且环境监视的即时察觉有大潜在的申请。在这个工作,我们与围单人赛的碳制作了灵活纤维气体传感器 nanotube (SWCNT ) ,多围的碳 nanotube (MWCNT ) ,和 ZnO 量察觉到元素的装饰点的 SWCNT (SWCNTs@ZnO ) 。这些灵活纤维气体传感器能在房间温度被操作与好敏感和恢复时间检测目标气体。他们也展出了优异长期的稳定性,以及好设备机械弯曲能力和坚韧性。把这些灵活煤气的传感器集成到脸面具,制作的便携的聪明的脸面具能被用来有选择地检测 C 2 H 5 哦,由与不同颜色读相应 LEDs 的 HCHO,和 NH 3 。如此的脸面具在新窗户中在事情和便携 electronics.Open | Zhiyi Gao Zhoe n g Lou Shuai Chen La Li Kai Jiang Zuoling Fu Wei Han Guozhen Shen | 2018 | Nano Research2018,11,1: | 3 |
| 6 | SOME PROBLEMS ON FRACTAL GEOMETRY AND TOPOLOGICAL DYNAMICAL SYSTEMS显示文摘This paper is a continuation of [14], some new problems on fractal geometry and topological dynamical systems have been posed. | Zuoling Zhou Feng Li | 2009 | Analysis in Theory and Applications2009,25,1: | 3 |
| 7 | ON THE EXACT HAUSDORFF MEASURE OF A CLASS OF SELF-SIMILAR SETS SATISFYING OPEN SET CONDITION显示文摘In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition (OSC). As applications, we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure. | Shaoyuan Xu Weiyi Su Zuoling Zhou | 2008 | Analysis in Theory and Applications2008,24,1: | 2 |
| 8 | The Hausdorff measure of a Sierpinski carpet显示文摘 | Zuoling Zhou Min Wu | 1999 | Science in China Series A: Mathematics1999,,7: | 1 |
| 9 | ApplicationofGFR-estima-tingequationsinChinesepatientswithchronickidneydis-ease显示文摘 | ZuoL MaYC ZhouYH etal | 2005 | AmJKidneyDis2005,45,3: | 1 |
| 10 | NADPH,notglutathione,status modulates oxidant sensitivity in normal and glucose phosphate dehydrogenase deficient显示文摘 | Scott MD Zuol Lubin BH | 1991 | Bood1991,77,9: | 1 |
| 11 | ModifiedglomerularfiltrationrateestimatingequationforChinesepatientswithchronickidneydisease显示文摘 | MaYC ZuoL ChenJH etal | 2006 | JAmSocNephrol2006,17,10: | 1 |
| 12 | Detection of HIV-1 viruses in tears of patients even under long-term HAART 显示文摘 | HanY WuN ZhuW LiY ZuoL YeJ QiuZ XieJ Li T | 2011 | AIDS2011,25,15: | 1 |
| 13 | Reduction properties of high alumina iron ore cold bonded pellet'with CO-H2 mixtures显示文摘 | ZHANG Zuoling LI Qiang ZOU Zongshu | 2014 | Ironmaking and Steelmaking2014,41,8: | 1 |
| 14 | Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: A brief survey of recent results显示文摘 | ZHOU Zuoling LI Feng | 2004 | Nonlinearity2004,17,: | 1 |
| 15 | The Hausdorff measure of a sierpinski carpet显示文摘 | ZHOU Zuoling WU Min | | Science in China (series A)0,29,2: | 1 |
| 16 | The Hausdorff measure of the self-similar sets显示文摘 | ZHOU Zuoling | | 41(7):724-7280,41,7: | 1 |
| 17 | Photoluminescenee properties and analysis of spectral structure of Eu3+-doped SrY2O4显示文摘 | FU ZUOLING ZHOU SHIHONG YU YINGNING | 2005 | J Phys Chem B2005,109,23: | 1 |
| 18 | Preparation and optical properties of trivalent europium-doped bulk and nanoerystalline SrY2O4显示文摘 | FU ZUOLING ZHOU SHIHONG ZHANG SIYUAN | 2006 | J Opt Soc Am B2006,23,9: | 1 |
| 19 | Twelve open problems on the exact value of the Hausdorff measure and on topological entropy:a brief survey of recent results显示文摘 | Zhou Zuoling Li Feng | | 0,,: | 1 |
| 20 | The Hausdorff measure of the self-similar set - the Koch curve显示文摘 | ZHOU Zuoling | 1998 | Sci China (in Chinese) ser A1998,28,2: | 1 |