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Hollow Multishelled Structure: Synthesis Chemistry and Application

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Chemical Research in Chinese Universities 2024年第3期40卷 346-393页

作者： mao Dan WANG Chao LI Wei ZHOU Liang LIU Jian ZHENG Zjian ZHAO yong CAO An-min WANG Shutao huaNG Jiaxing HUO Fengwei CHEN Hongyu MAI Liqiang YU Ranbo WANG Lianzhou LU Yunfeng YU Chengzhong YANG Qihua YANG Zhenzhong ZENG hua Chun ZHAO Hujun TANG Zhiyong ZHAO Dongyuan WANG Dan State Key laboratory of Biochemical Engineering Institute of Process EngineeringChineseAcademy of SciencesBeijing 100190P.R.China Key laboratory of Biopharmaceutical Preparation and Delivery Chinese Academy of SciencesBejing 100190P.R.China school of Fashion and Textiles The Hong Kong Polytechnic UniversityHong Kong SARP.R.China Department of Chemistry Fudan UniversityShanghai 200433P.R.China State Key laboratory of Advanced Technology for Materials Synthesis and Processing Wuhan University of TechnologyWuhan 430070P.R.China State Key laboratory of Catalysis Dalian Institute of Chemical PhysicsChinese Academy of SciencesDalian 116023P.R.China school of Chemistry Beihang UniversityBejing 100191P.R.China CAS Key laboratory of Molecular Nanostructure and Nanotechnology and beijing National laboratory for Molecular sciences Institute of ChemistryChinese Academy of SciencesBeijing 100190P.R.China CAS Key laboratory of Bio-inspired Materials and Interfacial Science Technical Institute of Physics and ChemistryChinese Academy of SciencesBeijing 100190P.R.China school of Engineering Westlake UniversityHangzhou 310024P.R.China school of Flexible Electronics(Future Technologies) Nanjing Tech UniversityNanjing 211816P.R.China school of Science Westlake UniversityHangzhou 310024P.R.China school of Materials Science and Engineering Wuhan University of TechnologyWuhan 430070P.R.China school of Metallurgical and Ecological Engineering University of Science and Technology BeijingBeijing 100083P.R.China school of Chemical Engineering and Australian Institute for Bioengineering and Nanotechnology The University of QueenslandBrisbaneQueensland 4072Australia College of Life Science and Technology Bejing University of Chemical TechnologyBejing 100029P.R.China school of Chemistry and Molecular Engineering East China Normal UniversityShanghai 200241P.R.China College of Life sciences Zhejiang Normal UniversityJinhua 321004P.R.China Department of Chemical Engineering Tsinghua UniversityBeijing 100

Hollow multishelled structure(HoMS),a promising and complex multifunctional structural system,features at least two shells that are separated by internal *** unique structure endows it with numerous advantages including low density,high loading capacity,large specific surface area,facilitated mass transport,and multiple spatial confinement *** the past twenty years,benefiting from the booming development of synthesis methods,various HoMS materials have been prepared and show promising applications in diverse areas.

关键词： Hollow multishelled structure Synthesis chemistry Energy storage Catalysis Electromagnetic wave absorption Drug delivery Sensor

L^P-Poincaré Inequality for General Symmetric Forms

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Acta Mathematica Sinica,English Series 2009年第12期25卷 2055-2064页

作者： yong hua mao school of mathematical Science LMCS Ministing of Education Beijing Normal University Beijing 100875 P. R. China

Lp Poincare inequalities for general symmetric forms are established by new Cheeger＇s isoperimetric constants. Lp super-Poincare inequalities are introduced to describe the equivalent conditions for the Lp compact embedding, and the criteria via the new Cheeger＇s constants for those inequalities are presented. Finally, the concentration or the volume growth of measures for these inequalities are studied.

关键词： Lp Poincare inequality symmetric form isoperimetric constant compact embedding concentration

Construction of Generalized Diffusion Processes: the Resolvent Approach

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Acta Mathematica Sinica,English Series 2020年第6期36卷 691-710页

作者： Ying LI yong hua mao school of mathematics and Computational Science Xiangtan UniversityXiangtan 411105P.R.China school of mathematical sciences Beijing Normal UniversityLaboratory of Mathematics and Complex SystemsMinistry of EducationBeijing 100875P.R.China

In this paper,we define the generalized diffusion operator L=d/dMd/dS for two suitable measures on the line,which includes the generators of the birth-death processes,the one-dimensional diffusion and the gap diffusio... 详细信息

关键词： Generalized diffusion operator birth-death processes diffusion gap diffusion resolvent generalized diffusion processes

The Spectral Gap for Quasi-birth and Death Processes

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Acta Mathematica Sinica,English Series 2012年第5期28卷 1075-1090页

作者： yong hua mao Liang Hui XIA school of mathematical sciences LMCSMinistry of EducationBeijing Normal University Department of mathematics Ji'nan University

For a reversible quasi-birth and death process, we generalize and refine the decomposition method, by constructing a birth-death process and a sequence of restriction processes. The spectral gap for the quasi-birth and death process is estimated in terms of the spectral gaps for these processes, and in some special cases, the estimation is sharp. With the aid of the symmetrization procedure, the result is also applied to two queueing models： M/M/1 in random environment and MIMIc with synchronous vacation.

关键词： Quasi-birth and death process spectral gap birth-death process M/M/1 in random environment MIMIc with synchronous vacation

Spectral Gap and Convergence Rate for Discrete-time Markov Chains

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Acta Mathematica Sinica,English Series 2013年第10期29卷 1949-1962页

作者： yong hua mao Yan Hong SONG school of mathematical sciences LMCSMinistry of EducationBeijing Normal University

Abstract Let P be a transition matrix which is symmetric with respect to a measure π. The spectral gap of P in L2（π）-space, denoted by gap（P）, is defined as the distance between 1 and the rest of the spectrum of P. In this paper, we study the relationship between gap（P） and the convergence rate of P^n. When P is transient, the convergence rate of pn is equal to 1 - gap（P）. When P is ergodic, we give the explicit upper and lower bounds for the convergence rate of pn in terms of gap（P）. These results are extended to L^∞ （π）-space.

关键词： Spectral gap convergence rate geometric ergodicity transience strong ergodicity uni-form decay

Spectral Gap for Open Jackson Networks

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Acta Mathematica Sinica,English Series 2015年第12期31卷 1879-1894页

作者： yong hua mao Liang Hui XIA school of mathematical sciences LMCSMinistry of Education Beijing Normal University Department of mathematics Ji'nan University

We generalize the decomposition method of the finite Markov chains for Poincare inequality in Jerrum et al.（***.,14,1741-1765（2004）） to the reversible continuous-time Markov *** inductively,we give the lower bound of spectral gap for the ergodic open Jackson network by the decomposition method and the symmetrization *** upper bound of the spectral gap is also presented.

关键词： Jackson networks reversibility decomposition of Markov chain spectral gap symmetrization

The Birth–death Processes with Regular Boundary: Stationarity and Quasi-stationarity

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Acta Mathematica Sinica,English Series 2022年第5期38卷 890-906页

作者： Wu Jun GAO yong hua mao Chi ZHANG College of Big Data and Internet Shenzhen Technology UniversityShenzhen 518118P.R.China school of mathematical sciences Beijing Normal UniversityLaboratory of Mathematics and Complex SystemsMinistry of EducationBeijing 100875P.R.China College of mathematical sciences Ocean University of ChinaQingdao 266100P.R.China

For the birth–death Q-matrix with regular boundary,its minimal process and its maximal process are closely *** this paper,we obtain the uniform decay rate and the quasi-stationary distribution for the minimal *** via the construction theory,we mainly derive the eigentime identity and the distribution of the fastest strong stationary time(FSST)for the maximal process.

关键词： Birth-death process regular boundary eigenvalue hitting time strong stationary time quasi-stationary distribution

Variational Principles for Asymptotic Variance of General Markov Processes

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Acta Mathematica Sinica,English Series 2023年第1期39卷 107-118页

作者： Lu Jing huaNG yong hua mao Tao WANG school of mathematics and Statistics Fujian Normal UniversityFuzhou 350007P.R.China school of mathematical sciences Beijing Normal UniversityLaboratory of Mathematics and Complex SystemsMinistry of EducationBeijing 100875P.R.China

A variational formula for the asymptotic variance of general Markov processes is *** application,we get an upper bound of the mean exit time of reversible Markov processes,and some comparison theorems between the reve... 详细信息

关键词： Markov process asymptotic variance variational formula the mean exit time comparison theorem semi-Dirichlet form

Weakly Strongly Singular Integral Operators on Anisotropic Hardy Spaces and Their Dual Operators

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Acta Mathematica Sinica,English Series 2009年第11期25卷 1849-1864页

作者： yong DING Sen hua LAN school of mathematical sciences Laboratory of Mathematics and Complex Systems (BNU) Ministry of Education China Beijing Normal University Beijing 100875 P. R. China Department of mathematics Lishui University Lishui 323000 P. R. China

Let A be an expansive dilation. We define weakly strongly singular integral kernels and study the action of the operators induced by these kernels on anisotropic Hardy spaces associated with A.

关键词： anisotropic Hardy space weakly strongly singular operator atom molecule