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On the Empty Essential Spectrum for Markov Processes in Dimension One

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Acta Mathematica Sinica,English Series 2006年第3期22卷 807-812页

作者： Yong hua mao Department of Mathematics Beijing Normal University

This paper gives characterizations for diffusion processes on the line and birth-death processes whose generators admit the empty essential spectra. Some equivalent conditions for empty essential spectra for general M... 详细信息

关键词： Markov generator Essential spectrum Compact embedding Hardy-type inequality

A Conjecture Concerning the Pure Exponential Diophantine Equation a^x+b^y=c^z

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Acta Mathematica Sinica,English Series 2005年第4期21卷 943-948页

作者： mao hua LE Department of Mathematics Zhanjiang Normal College Zhanfiang 524005 P. R. China

Let a, b, c, r be fixed positive integers such that a^2 ＋ b^2 = c^r, min（a, b, c, r）〉 1 and 2 r. In this paper we prove that if a ≡ 2 （mod 4）, b ≡ 3 （mod 4）, c 〉 3.10^37 and r 〉 7200, then the equation a... 详细信息

关键词： Pure exponential diophantine equation Number of solutions Completely determine

On Supercontractivity for Markov Semigroups

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Acta Mathematica Sinica,English Series 2007年第5期23卷 905-914页

作者： Yong hua mao School of Mathematical Science Beijing Normal University Beijing 100875 P. R. China

In this paper, we study the supercontractivity for Maxkov semigroups and obtain some sufficient and necessary conditions; especially explicit formulae are obtained for birth-death process and diffusion on the line. Sufficient conditions and necessary conditions in terms of isoperimetric inequalities are also presented. Moreover, we prove that the supercontractivity is equivalent to the compact embedding of Sobolev space into an Orlicz space.

关键词： Markov semigroup logarithmic Sobolev inequality supercontractivity compact embedding

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

数字化和伙伴关系双元视角下清洁能源项目风险管理

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清华大学学报(自然科学版) 2025年第1期65卷 92-103页

作者：娄长圣毛华谢洪林唐文哲清华大学水利水电工程系北京100084 华能澜沧江水电股份有限公司昆明650011

为实现“双碳”目标,中国大力推动清洁能源项目建设,加速能源绿色低碳转型。清洁能源项目涉及复杂的技术、经济、社会和环境风险,涵盖设计、采购、施工、运营各个阶段。鉴于利益相关方合作和数字化技术应用对于清洁能源项目风险管理的... 详细信息

为实现“双碳”目标,中国大力推动清洁能源项目建设,加速能源绿色低碳转型。清洁能源项目涉及复杂的技术、经济、社会和环境风险,涵盖设计、采购、施工、运营各个阶段。鉴于利益相关方合作和数字化技术应用对于清洁能源项目风险管理的重要性,该文从数字化和伙伴关系双元视角,构建了清洁能源项目风险管理影响机理模型,并通过问卷、访谈和案例分析进行了实证。模型检验结果表明,项目数字化水平、伙伴关系、知识管理、参建企业能力和项目风险管理共同对项目绩效有显著的影响作用。通过调研深入分析了清洁能源项目风险管理及相关管理因素的现状、问题及成因,明确了当前清洁能源项目风险管理应重点关注的因素,提出了相应风险管理建议。该研究可为清洁能源项目风险管理提供理论与实践参考。

关键词：风险管理清洁能源项目知识管理数字化管理伙伴关系

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

Glomerular podocyte dysfunction in inherited renal tubular disease

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World Journal of Pediatrics 2021年第3期17卷 227-233页

作者： Li-Min huang Jian-hua mao Department of Nephrology National Clinical Research Center for Child HealthThe Children’s HospitalZhejiang University School of Medicine#57 Zhugan LaneHangzhou 310006China

Background Hereditary renal tubular disease can cause hypercalciuria,acid-base imbalance,hypokalemia,hypomagnesemia,rickets,kidney stones,*** these diseases are not diagnosed or treated in time,they can cause kidney damage and electrolyte disturbances,which can be detrimental to the maturation and development of the *** involvement in renal tubular disease patients has only been considered *** We screened 71 papers(including experimental research,clinical research,etc.)about Dent's disease,Gitelman syndrome,and cystinosis from PubMed,and made *** Glomerular disease was initially underestimated among the clinical signs of renal tubular disease or was treated merely as a consequence of the tubular *** tubular diseases affect glomerular podocytes through certain mechanisms resulting in functional damage,morphological changes,and glomerular *** This article focuses on the progress of changes in glomerular podocyte function in Dent disease,Gitelman syndrome,and cystinosis for the purposes of facilitating clinically accurate diagnosis and scientific treatment and improving prognosis.

关键词： Cystinosis Dent disease Gitelman syndrome Podocyte Renal tubule disease

Calcineurin inhibitors and nephrotoxicity in children

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World Journal of Pediatrics 2018年第2期14卷 121-126页

作者： Fei Liu Jian-hua mao Department of Nephrology Children's HospitalZhejiang University School of MedicineHangzhou 310003China

Background Calcineurin inhibitors(CNIs)are commonly given to transplant recipients of kidneys and other solid organs and to patients with immune disorders,such as steroid-resistant nephrotic syndrome,steroid-dependent nephrotic syndrome,and frequent relapse nephrotic *** CNIs remain the most effective available immunosuppressant agent,there is clinical concern regarding possible long-term *** concern is especially significant in children who have a longer life expectancy and greater growth *** sources In this review,we analyzed the literatures to identify original articles that examined use of CNIs in children who received organ transplantation and nephropathy to assess the available evidence of their ***,Elsevier,and Tompson ISI Web of Knowledge were searched for identifying relevant *** Clinical research supports the presence of CNI-related ***,some researchers have questioned the prevalence and seriousness of chronic CNIs nephrotoxicity,especially because the pathological lesions typically associ-ated with long-term CNI use are *** researchers have focused on early markers of CNI nephrotoxicity,and the methods that may help prevent and manage *** Future research should focus on investigating early markers of CNI nephrotoxicity and strategies for improved immunosuppressant therapy,and developing alternative ***-mediated nephrotoxicity should always be taken seriously in clinic.

关键词： Calcineurin inhibitors(CNIs) Children Nephrotic syndrome Nephrotoxicity Transplantation

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