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ERGODICITY: 作品数：97被引量：101H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：叶彦谦更多>>; 相关机构：南京大学中国传媒大学更多>>; 相关期刊：《Science China Earth Sciences》《Theoretical & Applied Mechanics Letters》《Science China Mathematics》《Journal of Signal and Information Processing》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金广东省自然科学基金更多>>

ESTIMATION OF AVERAGE DIFFERENTIAL ENTROPY FOR A STATIONARY ERGODIC SPACE-TIME RANDOM FIELD ON A BOUNDED AREA: 《Acta Mathematica Scientia》2024年第5期1984-1996,共13页Zhanjie SONG Jiaxing ZHANG; supported by the Shenzhen sustainable development project:KCXFZ 20201221173013036 and the National Natural Science Foundation of China(91746107).; In this paper,we mainly discuss a discrete estimation of the average differential entropy for a continuous time-stationary ergodic space-time random field.By estimating the probability value of a time-stationary rando...; 关键词：differential entropy STATIONARY ERGODICITY space-time random field time series

A Stochastic Model to Assess the Epidemiological Impact of Vaccine Booster Doses on COVID-19 and Viral Hepatitis B Co-Dynamics with Real Data: 《Computer Modeling in Engineering & Sciences》2024年第3期2973-3012,共40页Andrew Omame Mujahid Abbas Dumitru Baleanu; A patient co-infected with COVID-19 and viral hepatitis B can be atmore risk of severe complications than the one infected with a single infection.This study develops a comprehensive stochastic model to assess the epi...; 关键词：Viral hepatitis B COVID-19 stochastic model EXTINCTION ERGODICITY real data

Relation Between the Eventual Continuity and the E-property for Markov-Feller Semigroups: 《Acta Mathematicae Applicatae Sinica》2024年第1期1-16,共16页Yong Liu Zi-yu Liu; supported by National Natural Science Foundation of China (No.11731009, No.12231002);Center for Statistical Science,Peking University。; 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 spaces.More preci...; 关键词：Markov-Feller semigroup ERGODICITY e-property eventual continuity

Ergodicity of 3D Stochastic Burgers Equation: 《Acta Mathematica Sinica,English Series》2024年第2期498-510,共13页Zhao DONG Jiang Lun WU Guo Li ZHOU; supported by National Key R&D Program of China(Grant Nos.2020YFA0712700);NNSF of China(Grant Nos.12090014,11931004,11971077);Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182);Chongqing Key Laboratory of Analytic Mathematics and Applications,Chongqing University;Natural Science Foundation Project of CQ(Grant No.cstc2020jcyj-msxmX0441);Fundamental Research Funds for the Central Universities(Grant No.2020CDJ-LHZZ-027)。; 3D Burgers equation is an important model for turbulence.It is natural to expect the long-time behaviour for this hydrodynamics equation.However,there is no result about the long-time behaviour for this deterministic ...; 关键词：3D stochastic Burgers equations maximum principle ERGODICITY

Dynamical Analysis of the Stochastic COVID-19 Model Using Piecewise Differential Equation Technique被引量：1: 《Computer Modeling in Engineering & Sciences》2023年第12期2427-2464,共38页Yu-Ming Chu Sobia Sultana Saima Rashid Mohammed Shaaf Alharthi; Various data sets showing the prevalence of numerous viral diseases have demonstrated that the transmission is not truly homogeneous.Two examples are the spread of Spanish flu and COVID-19.The aimof this research is t...; 关键词：COVID-19 epidemic model piecewise fractional differential operators piecewise numerical scheme EXTINCTION ergodicity and stationary distribution

Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment: 《Acta Mathematicae Applicatae Sinica》2023年第3期550-570,共21页Ya-jie LI Hao-kun QI Zheng-bo CHANG Xin-zhu MENG; the National Natural Science Foundation of China (No.12271308);the Research Fund for the Taishan Scholar Project of Shandong Province of China;Shandong Provincial Natural Science Foundation of China (ZR2019MA003)。; This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive toxicant input. For the system with only white noise interference, s...; 关键词：stochastic trophic cascade chemostat model Markov chain extinction and stochastic permanence periodic solution ERGODICITY

Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold:Ergodicity,Unconditional Stability and Convergence: 《Communications in Computational Physics》2023年第6期132-172,共41页Yuan Gao Jian-Guo Liu; Jian-Guo Liu was supported in part by NSF under awards DMS-2106988;by NSF RTG grant DMS-2038056;Yuan Gao was supported by NSF under awards DMS-2204288.; Irreversible drift-diffusion processes are very common in biochemical reactions.They have a non-equilibrium stationary state(invariant measure)which does not satisfy detailed balance.For the corresponding Fokker-Planc...; 关键词：Symmetric decomposition non-equilibrium thermodynamics enhancement by mixture exponential ergodicity structure-preserving numerical scheme

Fragmentation dynamics of electron-impact double ionization of helium: 《Chinese Physics B》2023年第6期9-15,共7页刘士炜叶地发刘杰; Project supported by the National Natural Science Foundation of China (Grant Nos. 12174034, 12047510, and 11822401);NSAF (Grant Nos. U1930402 and U1930403)。; We study the double ionization dynamics of a helium atom impacted by electrons with full-dimensional classical trajectory Monte Carlo simulation. The excess energy is chosen to cover a wide range of values from 5 e V ...; 关键词：double ionization classical trajectory Monte Carlo simulation Wannier threshold law ERGODICITY

Like a Sum Is Generalized into an Integral, a Product May Be Generalized into an Inteduct: 《Applied Mathematics》2023年第5期279-289,共11页Michael Grabinski Galiya Klinkova; It is well known that an integral is nothing but a continuous form of a sum. Is it possible to do the same thing with a product? The answer is yes and done for the first time in this publication. The new operator is c...; 关键词：Geometric Mean Chaos FINANCE ERGODICITY

Multi-site observation of large-scale eddies in the surface layer of the Loess Plateau: 《Science China Earth Sciences》2023年第4期871-881,共11页Jinbei CHEN Xiaowen CHEN Wei JIA Ye YU Suping ZHAO; supported by the National Natural Science Foundation of China(Grant Nos.42175104&41675014)。; This article aims to build a theory of atmospheric boundary layer turbulence under complex conditions. To achieve this goal, we constructed a multi-site observation and analysis method of atmospheric turbulence based ...; 关键词：Larger-scale eddy Complex condition Ergodicity of turbulence observation Structure function Turbulence spectrum

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