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Hoeffding's inequality for Markov processes via solution of Poisson's equation

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Frontiers of Mathematics in China 2021年第2期16卷 543-558页

作者： yuanyuan liu Jinpeng liu School of Mathematics and Statistics New CampusCentral South UniversityChangsha 410083China

We investigate Hoeffding's inequality for both discrete-time Markov chains and continuous-time Markov processes on a general state space. Our results relax the usual aperiodicity restriction in the literature, and the explicit upper bounds in the inequalities are obtained via the solution of Poisson's equation. The results are further illustrated with applications to queueing theory and reective diffusion processes.

关键词： Hoeffding's inequality Markov process Poisson's equation

Reproductive aging:biological pathways and potential interventive strategies

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Journal of Genetics and Genomics 2023年第3期50卷 141-150页

作者： yuanyuan liu Jinmin Gao Center for Cell Structure and Function College of Life SciencesKey Laboratory of Animal Resistance Biology of Shandong ProvinceShandong Normal UniversityJinanShandong 250014China

Reproductive aging is a natural process conserved across species and is well-known in *** shows age-related follicle depletion and reduction of oocyte quality,eventually causing reproductive senescence and *** reproductive aging in males is not well noticed as in females,it also causes infertility and has deleterious consequences on the *** factors have been suggested to contribute to reproductive aging,including oxidative stress,mitochondrial defects,telomere shortening,meiotic chromosome segregation errors and genetic *** the increasing trend of pregnancy age,it is particularly crucial to find interventions to preserve or extend human *** in humans and model organisms have provided insights into the biological pathways associated with reproductive aging,and a series of potential interventive strategies have been ***,we review factors affecting reproductive aging in females and males and summarize interventive strategies that may help delay or rescue the aging phenotypes of reproduction.

关键词： Reproductive aging Infertility Oocytes Sperm Gamete quality

Finite-Time H_(∞)Sampled-Data Reliable Control for a Class of Markovian Jump Systems with Randomly Occurring Uncertainty via T-S Fuzzy Model

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Journal of Systems Science & Complexity 2022年第3期35卷 860-887页

作者： liu yuanyuan ZHANG Yutong MA Yuechao School of Science Yanshan UniversityQinhuangdao 066004China

The paper analyzes finite-time H_(∞)sampled-data reliability control for nonlinear continuous time Markovian jump systems with randomly occurring uncertainty on account of T-S fuzzy *** particular,the transition rates of the Markovian jump systems have both the upper bound and lower ***,a new Lyapunov-Krasovskii functional(LKF)is considered,which fully captures the available characteristics of real sampling period,and a sampled-data controller with nonlinear actuator failures is *** on the integral inequality technique,some less conservative conditions are proposed such that the stochastic fuzzy system is reliable in the sense,which satisfies finite-time bounded and certain H_(∞)performance levelγ.Additionally,some numerical examples can illustrate the effectiveness of the results.

关键词： Actuator fault control finite-time H_(∞)bounded Markovian jump system sampled-data control T-S fuzzy model

Integral-type functionals of first hitting times for continuous-time Markov chains

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Frontiers of Mathematics in China 2018年第3期13卷 619-632页

作者： yuanyuan liu Yanhong SONG School of Mathematics and Statistics Central South University Changsha 410083 China School of Statistics and Mathematics Zhongnan University of Economics and Law Wuhan 430073 China

We investigate integral-type functionals of the first hitting times for continuous-time Markov chains. Recursive formulas and drift conditions for calculating or bounding integral-type functionals are obtained. The connection between the subexponential integral-type functionals and the subexponential ergodicity is established. Moreover, these results are applied to the birth-death processes. Polynomial integral-type functionals and polynomial ergodicity are studied, and a sufficient criterion for a central limit theorem is also presented.

关键词： Integral-type functional continuous-time Markov chain (CTMC) subexponential ergodicity birth-death process central limit theorem (CLT)

Central limit theorems for ergodic continuous-time Markov chains with applications to single birth processes

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Frontiers of Mathematics in China 2015年第4期10卷 933-947页

作者： yuanyuan liu Yuhui ZHANG School of Mathematics and Statistics New Campus Central South University Changsha 410083 China ex Systems Ministry of Education Beijing 100875 China

We obtain sufficient criteria for central limit theorems （CLTs） for ergodic continuous-time Markov chains （CTMCs）. We apply the results to establish CLTs for continuous-time single birth processes. Moreover, we present an explicit expression of the time average variance constant for a single birth process whenever a CLT exists. Several examples are given to illustrate these results.

关键词： Markov process single birth processes central limit theorem (CLT),ergodicity

Exponential and Strong Ergodicity for Markov Processes with an Application to Queues

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Chinese Annals of Mathematics,Series B 2008年第2期29卷 199-206页

作者： yuanyuan liu Zhenting HOU School of Mathematics Railway Campus Central South University Changsha 410075 China

For an ergodic continuous-time Markov process with a particular state in its space,the authors provide the necessary and sufficient conditions for exponential and strong ergodicity in terms of the moments of the first... 详细信息

关键词： Markov processes Queueing theory Exponential ergodicity Strong ergodicity

Extension of TOPSIS for fuzzy multi-attribute decision making problem based on experimental analysis

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Journal of Systems Engineering and Electronics 2010年第3期21卷 416-422页

作者： Min Tian yuanyuan He Sifeng liu College of Economics and Management Nanjing University of Aeronautics and Astronautics Nanjing 210016 P. R. China

This paper is concerned with a technique for order performance by similarity to ideal solution（TOPSIS） method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly known and the attribute values take form of triangular fuzzy *** the fact that the triangular fuzzy TOPSIS results yielded by different distance measures are different from others,a comparative analysis of triangular fuzzy TOPSIS ranking from each distance measure is illustrated with discussion on standard *** applying the most reasonable distance,the deviation degrees between attribute values are measured.A linear programming model based on the maximal deviation of weighted attribute values is established to obtain the attribute ***,alternatives are ranked by using TOPSIS ***,a numerical example is given to show the feasibility and effectiveness of the method.

关键词： fuzzy multi-attribute decision making technique for order performance by similarity to ideal solution(TOPSIS) method triangular fuzzy number distance measure.

A study on vector mediator top-philic dark matter

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Communications in Theoretical Physics 2024年第8期76卷 67-78页

作者： Yanyan Hu Yandong liu yuanyuan liu College of Nuclear Science and Technology Beijing Normal UniversityJoint Laboratory of Jinping Ultra-low Radiation Background Measurement of Ministry of Ecology and EnvironmentJinping Deep Underground Frontier Science and Dark Matter Key Laboratory of Sichuan ProvinceKey Laboratory of Beam Technology of Ministry of EducationBeijing 100875China Beijing Radiation Center Beijing 100875China

We conducted a study on a simplified dark matter model that introduces a vector-like intermediate particle,facilitating exclusive interactions between dark matter and the top quark in the Standard *** analysis focused on the relic density of Dirac-type fermion dark matter and highlighted the complementary role of direct detection in constraining the dark matter ***,in instances when dark matter mass is small,the tree-level two-body annihilation process experiences *** such scenarios,the contributions of the threebody process(χχ→tbW-)and the one-loop process(χχ→gg)dominate the relic *** regard to direct detection,calculations were performed for the two-loop contribution to the dark-matter-gluon interaction,yielding the corresponding spin-independent scattering cross section.

关键词： dark matter new physics effective field theory

Performance of Nb_(0.8)Zr_(0.2) Layer-Modified AISI430 Stainless Steel as Bipolar Plates for Direct Formic Acid Fuel Cells

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Acta Metallurgica Sinica(English Letters) 2021年第1期34卷 77-84页

作者： yuanyuan liu Zhongmin Lang Jinlong Cui Shengli An Inner Mongolia Key Laboratory of Coal Chemical Engineering and Comprehensive Utilization School of Chemistry and Chemical EngineeringInner Mongolia University of Science and TechnologyBaotou 014010China School of Materials and Metallurgy Inner Mongolia University of Science and TechnologyBaotou 014010China

To improve the interfacial conductivity and corrosion resistance of AISI430 stainless steel(430 SS)as bipolar plates for direct formic acid fuel cells(DFAFCs),a Nb_(0.8)Zr_(0.2) layer has been successfully synthesized via the pulsed laser deposition(PLD)technique on the surface of 430 *** Nb_(0.8)Zr_(0.2) layer is smooth,uniform,and comparatively compact without any surface flaw and *** under the simulated anodic environment of DFAFCs(0.05 M H_(2)SO_(4)+2 ppm HF+10 M HCOOH at 70℃)shows that the corrosion resistance of 430 SS is obviously ameliorated after the PLD *** addition,the interfacial contact resistance of Nb_(0.8)Zr_(0.2)-430 SS(6.0 mΩcm^(2))is much smaller than that of bare 430 SS(151.3 mΩcm^(2))at the clamping force of 140 N cm^(-2).Besides,diff erent from the highly increased interfacial contact resistance of bare 430 SS,the Nb_(0.8)Zr_(0.2)-430 SS shows a minor increase resistance after potentiostatic tests in simulated anodic environment of DFAFCs.

关键词： Corrosion resistance Nb_(0.8)Zr_(0.2) layer Direct formic acid fuel cell Interfacial contact resistance Bipolar plates