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Relation Between the Eventual Continuity and the E-property for Markov-Feller Semigroups

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Acta Mathematicae Applicatae Sinica 2024年第1期40卷 1-16页

作者： Yong liu zi-yu liu LMAM School of Mathematical SciencePeking UniversityBeijing100871China

We investigate some relations between two kinds of semigroup regularities, namely the e-property and the eventual continuity, both of which contribute to the ergodicity for Markov processes on Polish *** precisely, we prove that for Markov-Feller semigroup in discrete time and stochastically continuous MarkovFeller semigroup in continuous time, if there exists an ergodic measure whose support has a nonempty interior,then the e-property is satisfied on the interior of the support. In particular, it implies that, restricted on the support of each ergodic measure, the e-property and the eventual continuity are equivalent for the discrete-time and the stochastically continuous continuous-time Markov-Feller semigroups.

关键词： Markov-Feller semigroup ergodicity e-property eventual continuity

Recent developments of di-amide/imide-containing small molecular non-fullerene acceptors for organic solar cells

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Chinese Chemical Letters 2016年第8期27卷 1283-1292,1468页

作者： He-Wei Luo zi-Tong liu Department of Material and Chemical Engineering Zhengzhou University of Light Industry Beijing National Laboratory for Molecular Sciences CAS Key Laboratory of Organic Solids Institute of Chemistry Chinese Academy of Sciences

Non-fullerene organic solar cells have received increasing attentions in these years,and great progresses have been made since *** them,aromatic di-amide/imide-containing frameworks have shown promising *** outstanding properties of them are highly associated with their unique electronic and structural features,such as strong electron-withdrawing nature,broad absorption in UVvisible region,tunable HOMO/LUMO energy levels,easy modifications,and excellent chemical,thermal and photochemical *** this review,we give an overview of recent developments of aromatic diamide/imide-containing small molecules used as electron acceptors for organic solar cells.

关键词： Diamide-containing small molecules Diimide-containing small molecules Non-fullerene acceptor Organic solar cell Donor-acceptor molecule

Asymptotic Behaviour of Hessian Equation with Boundary Blow Up

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Acta Mathematicae Applicatae Sinica 2017年第3期33卷 575-586页

作者： Lei-na ZHAO zi-jian liu College of Mathematics and Statistics/College of Transportation Chongqing Jiaotong UniversityChongqing400074China

We consider the boundary blow up problem for k-hessian equation with nonlinearities of power and of exponential type, and prove their existence, uniqueness and asymptotic behaviour. Moreover we also show that their perturbed problem has a unique positive solution, which satisfies some asymptotic behaviors to unperturbed problems under appropriate structure hypotheses for perturbed terms.

关键词： boundary blowup problem nondegeneracy k-hessian equation

Enhanced Electromagnetic Interference Shielding of Mg–Zn–Zr Alloy by Ce Addition

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Acta Metallurgica Sinica(English Letters) 2015年第4期28卷 492-498页

作者： Xian-Hua Chen Li-zi liu Juan liu Fu-Sheng Pan College of Materials Science and Engineering Chongqing University National Engineering Research Center for Magnesium Alloys Chongqing University Chongqing Academy of Science and Technology

The effects of Ce addition on microstructure and electromagnetic interference （EMI） shielding response of Mg- 6Zn-0.5Zr （ZK60） alloy have been investigated. Ce addition resulted in grain refinement and higher density of Mg-Zn-Ce and MgZn2 intermetallic particles in the alloy. In particular, this was substantially remarkable as the addition of Ce was up to 1.0 wt%. It is interesting to note that as-extruded ZK60 alloy with 1.0 wt% Ce addition exhibited an EMI shielding effectiveness （SE） exceeding 70 dB at the frequency range of 30-1,500 MHz, which was significantly higher than that of ZK60 alloy without Ce addition and reached the requirement of high protection. The superior SE was probably related to the increased reflection and multiple reflection of electromagnetic radiation induced by Ce addition. Direct artificial aging at 150 ℃ for 25 or 50 h led to a further increase of 7-10 dB in the SE of the alloy with 1.0 wt% Ce addition. The advantages of excellent shielding capacity and favorable mechanical strength make the Mg-Zn-Zr-Ce alloy an attractive shielding candidate material for a variety of technological applications.

关键词： Magnesium alloys Ce Shielding effectiveness Electromagnetic interference Intermetallicparticles

Decomposition of Noncommutative U(1)Gauge Potential

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Communications in Theoretical Physics 2008年第10期50卷 943-946页

作者： liu zi-Yu LI Xi-Guo Department of Physics Xianyang Normal University Xianyang 712000 China Institute of Modern Physics Chinese Academy of Sciences P.O. Box 31 Lanzhou 730000 China Center of Theoretical Nuclear Physics National Laboratory of Heavy Ion Collisions Lanzhou 730000 China

We investigate the decomposition of noncommutative gauge potential Ai, and find that it has inner structure, namely, Ai can be decomposed in two parts, bi and αi, where bi satisfies gauge transformations while αi satisfies adjoint transformations, so dose the Seiberg-Witten mapping of noncommutative U（1） gauge potential. By means of Seiberg-Witten mapping, we construct a mapping of unit vector field between noncommutative space and ordinary space, and find the noncommutative U（1） gauge potential and its gauge field tensor can be expressed in terms of the unit vector field. When the unit vector field has no singularity point, noncommutative gauge potential and gauge field tensor will equal ordinary gauge potential and gauge field tensor

关键词： noncommutative gauge potential Seiberg-Witten mapping vector field

Neoadjuvant chemoradiotherapy followed by laparoscopic distal gastrectomy in advanced gastric cancer: A case report and review of literature

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World Journal of Clinical Cases 2021年第11期9卷 2542-2554页

作者： zi-Ning liu Yin-Kui Wang zi-Yu Li Key Laboratory of Carcinogenesis and Translational Research(Ministry of Education/Beijing) Gastrointestinal Cancer CenterPeking University Cancer Hospital&InstituteBeijing 100142China

BACKGROUND The laparoscopic technique has been widely applied for early gastric cancer,with the advantages of minimal invasion and quick ***,there is no report about the safety and oncological outcome of laparoscopic gastrectomy with D2 lymph node dissection for patients after neoadjuvant *** SUMMARY A 60-year-old man was diagnosed with advanced distal gastric cancer,cT4aN1M0 stage *** neoadjuvant chemoradiotherapy was performed based on the regimen of gross tumor volume 50G y/25 f and clinical target volume 45 Gy/25 f,as well as concurrent S-160 mg *** laparoscopic distal gastrectomy with D2 lymph node dissection was undertaken successfully for him after achieving partial response evaluated by radiological *** patient recovered smoothly without moderate or severe postoperative *** postoperative pathological stage was ypT3N0M0 with American Joint Committee on Cancer tumor regression grade *** was still in good condition after 5 years of *** Neoadjuvant chemoradiotherapy followed by laparoscopic technique could be applicable and may achieve satisfactory oncological *** finding requires further validation by cohort studies.

关键词： Gastric cancer Neoadjuvant chemoradiotherapy Laparoscopic Distal gastrectomy S-1 Case report

N-Oxide heterocycles and imidazoles replacing ring D of calanolides against Mycobacterium tuberculosis

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Chinese Chemical Letters 2016年第1期27卷 51-54页

作者： zi-Jie liu Xiao-Yong Guo Gang liu Institute of Materia Medica Chinese Academy of Medical Sciences and Peking Union Medical College Tsinghua-Peking Center for Life Sciences and Department of Pharmacology and Pharmaceutical Sciences School of Medicine Tsinghua University

We have explored the chemistry of N-oxide heterocycles and imidazoles replacing ring D of the natural product（＋）-calanolide A, and have synthesized 12 new analogues, two of which were active against both R Mtb and ... 详细信息

关键词： Mycobacterium tuberculosis (+)-Calanolide A N-Oxide heterocycle Benzoimidazole Bioreductive drug

Insights into plastic deformation mechanisms of austenitic steels by coupling generalized stacking fault energy and semi-discrete variational Peierls-Nabarro model

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Progress in Natural Science:Materials International 2023年第1期33卷 83-91页

作者： Yu liu Jinglian Du Shunli Shang Ang Zhang Shoumei Xiong zi-Kui liu Feng liu State Key Laboratory of Solidification Processing Northwestern Polytechnical University Department of Materials Science and Engineering The Pennsylvania State University University Park College of Materials Science and Engineering Chongqing University School of Materials Science and Engineering Tsinghua University Analytical & Testing Center Northwestern Polytechnical University

The generalized stacking fault energy(GSFE) is a key parameter to determine the plastic deformation mechanisms of austenitic steels. However, the underlying physics why the GSFE can affect the plastic deformation behaviors remains unclear. In this paper, the plastic deformation mechanisms of austenitic steels with different carbon(C)additions were investigated by coupling the GSFE with the semi-discrete variational Peierls-Nabarro(P–N) *** internal mechanisms behind the P–N stress and plastic deformation were explained at atomic scale. It is found that the positions and contents of C atoms affect the GSFE of austenite, and thus regulate plastic deformation behaviors of austenitic steels by influencing dislocation core structure. As exemplified that with 4 at.%C in austenite, the intrinsic stacking fault energy increases from-433 to-264 mJ/m2, and the stacking fault width increases to 6.62b from 4.72b of FCC-Fe with b being the Burgers vector. This corresponds to the plastic deformation mechanism dominated by the ε martensitic transformation with the lattice changing from FCC to *** increasing C contents to 8 at.%, the intrinsic stacking fault energy of austenite increases to-9.01 mJ/m2,while the stacking fault width decreases to 6.03b. The plastic deformation tends to proceed via the mechanical twinning mode. The present investigation establishes a solid foundation for clarifying the plastic deformation mechanisms of austenitic steels from the perspective of the dislocation core structure.

关键词： Austenite Plastic deformation mechanisms Dislocation core structure Generalized stacking fault energy Peierls-Nabarro model

Frequency and Correlation of Nearest Neighboring Nucleotides in Human Genome

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Chinese Journal of Chemical Physics 2009年第1期22卷 27-33页

作者： Neng-zhi Jin zi-xian liu Wen-yuan Qiu Department of Chemistry State Key Laboratory of Applied Organic Chemistry Lanzhou Universiry. Lanzhou 730000 China

zipf＇s approach in linguistics is utilized to analyze the statistical features of frequency and correlation of 16 nearest neighboring nucleotides （AA, AC, AG, …, TT） in 12 human chro- mosomes （Y, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, and 12）. It is found that these statistical features of nearest neighboring nucleotides in human genome：（i） the frequency distribution is a linear function, and （ii） the correlation distribution is an inverse function. The coefficients of the linear function and inverse function depend on the GC content. It proposes the correlation distribution of nearest neighboring nucleotides for the first time and extends the descriptor about nearest neighboring nueleotides.

关键词： zipf's law Nearest neighboring nucleotide Frequency distribution Correlation distribution