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Hazard Model with Random Treatment Time-Lag Effect

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Acta Mathematica Sinica,English Series 2023年第9期39卷 1755-1767页

作者： Xin Ye yan yan Liu School of Mathematics and Statistics Wuhan UniversityWuhan430072P.R.China

In clinical studies,it is often that the medical treatments take a period of time before having an effect on patients and the delayed time may vary from person to *** though there exists a rich literature developing methods to estimate the time-lag period and treatment effects after lag time,most of these existing studies assume a fixed lag *** this paper,we propose a hazard model incorporating a random treatment time-lag effect to describe the heterogeneous treatment effect among *** EM algorithm is used to obtain the maximum likelihood *** give the asymptotic properties of the proposed estimator and evaluate its performance via simulation *** application of the proposed method to real data is provided.

关键词： Random lag time treatment effect right censored data EM algorithm

Continuity of Hardy-Littlewood Maximal Function

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Acta Mathematicae Applicatae Sinica 2020年第4期36卷 982-990页

作者： Di WU Dun-yan yan School of Science Zhejiang University of Science and TechnologyHangzhou 310023China School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100190China

In the paper,we characterize a necessary and sufficient condition which ensures the continuities of the non-centered Hardy-Lit tiewood maximal function Mf and the centered Hardy-Lit tiewood maximal function Mcf on R^*** two applications,we can easily deduce that Mcf and Mf are continuous if f is continuous,and Mf is continuous if f is of local bounded variation on R.

关键词： Hardy-Littlewood maximal function bounded variation continuity

Control of chaos in Frenkel-Kontorova model using reinforcement learning

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Chinese Physics B 2021年第5期30卷 247-254页

作者： You-Ming Lei yan-yan Han School of Mathematics and Statistics Northwestern Polytechnical UniversityXi'an 710072China Ministry of Industry and Information Technology(MIIT)Key Laboratory of Dynamics and Control of Complex Systems Northwestern Polytechnical UniversityXi'an 710072China

It is shown that we can control spatiotemporal chaos in the Frenkel-Kontorova(FK)model by a model-free control method based on reinforcement *** method uses Q-learning to find optimal control strategies based on the reward feedback from the environment that maximizes its *** optimal control strategies are recorded in a Q-table and then employed to implement *** advantage of the method is that it does not require an explicit knowledge of the system,target states,and unstable periodic *** that we need is the parameters that we are trying to control and an unknown simulation model that represents the interactive *** control the FK model,we employ the perturbation policy on two different kinds of parameters,i.e.,the pendulum lengths and the phase *** show that both of the two perturbation techniques,i.e.,changing the lengths and changing their phase angles,can suppress chaos in the system and make it create the periodic *** form of patterns depends on the initial values of the angular displacements and *** particular,we show that the pinning control strategy,which only changes a small number of lengths or phase angles,can be put into effect.

关键词： chaos control Frenkel-Kontorova model reinforcement learning

A HARNACK TYPE INEQUALITY FOR SOME CONFORMALLY INVARIANT EQUATIONS ON HALF EUCLIDEAN SPACE

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Acta Mathematica Scientia 2009年第4期29卷 1105-1112页

作者： Aobing Li yan yan Li Department of Mathematics City University of Hong Kong 83 Ta~ Chee Avenue Kowloon Tong Hong Kong China Department of Mathematics Rutgers University110 Frelinghuysen Road Piscataway NJ 08854 USA

We establish a Harnack type inequality on half Euclidean space for general conformally invariant fully nonlinear elliptic equations of second order.

关键词： Harnack conformally invariant elliptic

Two New Lipschitz Type Spaces and Their Characterizations

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Acta Mathematica Sinica,English Series 2022年第9期38卷 1523-1536页

作者： Ming Quan WEI Dun yan yan School of Mathematics and Statistics Xinyang Normal UniversityXinyang 464000P.R.China School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100049P.R.China

In this paper,we first introduce the weak Lipschitz spaces WLip_(q,α),1 详细信息

In this paper,we first introduce the weak Lipschitz spaces WLip_(q,α),1

关键词： Weak Lipschitz space commutator fractional maximal operator weak central bounded mean oscillation space Hardy operator

The Commutators of Strongly Singular Integral Operators on the Weighted Hardy Spaces

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Acta Mathematica Sinica,English Series 2021年第12期37卷 1909-1920页

作者： yan yan HAN Huo Xiong WU School of Mathematical Sciences Xiamen UniversityXiamen 361005P.R.China

Let T be a strongly singular Calderon-Zygmund operator and b∈L_(loc)(R^(n)).This article finds out a class of non-trivial subspaces BMO_(ω,p,u)(R^(n))of BMO(R^(n))for certain ω∈A_(1),0 详细信息

Let T be a strongly singular Calderon-Zygmund operator and b∈L_(loc)(R^(n)).This article finds out a class of non-trivial subspaces BMO_(ω,p,u)(R^(n))of BMO(R^(n))for certain ω∈A_(1),0

关键词： Strongly singular Calderon-Zygmund operators commutators Muckenhoupt weights BMO spaces Hardy spaces

Epigenetic regulation of thermomorphogenesis in Arabidopsis thaliana

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aBIOTECH 2022年第1期3卷 12-24页

作者： Yifeng Hou yan yan Xiaofeng Cao State Key Laboratory of Plant Genomics and National Center for Plant Gene Research Institute of Genetics and Developmental BiologyChinese Academy of SciencesBeijing 100101China University of Chinese Academy of Sciences Beijing 100049China Center for Excellence in Molecular Plant Sciences Chinese Academy of SciencesBeijing 100101China

Temperature is a key factor in determining plant growth and development,geographical distribution,and seasonal *** accurately sense subtle changes in ambient temperature and alter their growth and development accordingly to improve their chances of survival and successful *** encompasses a variety of morphological changes that help plants acclimate to warm environmental *** the molecular mechanism of thermomorphogenesis is important for breeding thermo-tolerant crops and ensuri ng food security under global climate *** adaptation to elevated ambient temperature is regulated by multiple signaling pathways and epigenetic mechanisms such as histone modifications,histone variants,and non-coding *** this review,we summarize recent advances in the mechanism of epigenetic regulation during thermo-morphogenesis with a focus on the model plant Arabidopsis thaliana and briefly discuss future pro-spects for this field.

关键词： Ambient temperature Thermomorphogenesis Histone modification Histone variants Non-coding RNAs

Composition Operators with Universal Translates on S^(2)(D)

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Acta Mathematica Sinica,English Series 2023年第12期39卷 2452-2464页

作者： Kai Kai HAN yan yan TANG School of Mathematics and Statistics Hebei University of Economics and BusinessShijiazhuang 050061P.R.China School of Mathematics and Statistics He'nan UniversityKaifeng 475004P.R.China

It is known that the Invariant Subspace Problem for Hilbert spaces is equivalent to the statement that all minimal non-trivial invariant subspaces for a universal operator are one *** this paper,we characterize all linear fractional composition operators and their adjoints that have universal translates on the space S^(2)(D).Moreover,we characterize all adjoints of linear fractional composition operators that have universal translates on the Hardy space H^(2)(D).In addition,we consider the minimal invariant subspaces of the composition operator Cφa on S^(2)(D),where φa(z)=az+1-a,a ∈(O,1).Finally,some relationships between complex symmetry and universality for bounded linear operators and commuting pairs of operators on a complex separable,infinite dimensional Hilbert space are explored.

关键词： Universal operator composition operator invariant subspace complex symmetry

Supplier Encroachment and Quality Disclosure Strategy in an E-supply Chain with Blockchain Technology

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Journal of Systems Science and Systems Engineering 2024年第6期33卷 682-715页

作者： Huimin Zhang Zhenkai Lou yan yan Fujun Hou School of Management and Economics Beijing Institute of TechnologyBeijing100081China School of Management Science and Engineering Anhui University of TechnologyMaanshan243032China

This paper explores quality disclosure strategy in an e-supply chain including a supplier and an e-retailer driven by blockchain technology(BT),wherein the supplier possesses private quality information and has the option to encroach on the end *** investigate the no-encroachment and encroachment scenarios under the three quality disclosure strategies(i.e.,non-disclosure strategy,voluntary disclosure strategy and BT-supported disclosure strategy).The impact of supplier encroachment and firms’preference for disclosure strategies are *** analysis shows that regardless of the strategy chosen,encroachment always benefits the supplier but,under certain conditions,benefits the ***,with no-encroachment,both the supplier and the e-retailer have the same preference for disclosure *** encroachment,however,the supplier prefers the voluntary disclosure strategy when both the quality variability and direct selling cost are small,and BT’s operation cost is relatively large;otherwise,he prefers the BT-supported disclosure *** the e-retailer,she always prefers both the voluntary and BT-supported disclosure ***,it is observed that the BT-supported disclosure strategy emerges as optimal for both the supplier and the e-retailer when faced with significant quality variability,regardless of *** and adopting BT can generate more consumer surplus under certain ***,we extend the basic model by considering simultaneous quantity decision and find that keying findings are ***,management insights are covered and given.

关键词： Supply chain management encroachment blockchain technology quality disclosure