ERGODIC

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Explicit results for ergodic properties of SDEs driven by cylindrical symmetric stable noises
《Science China Mathematics》2024年第12期2823-2842,共20页Lu-Jing Huang Jian Wang 
supported by the National Key R&D Program of China(Grant No.2022YFA1006003);National Natural Science Foundation of China(Grant Nos.11831014,12071076,and 12225104)。
We consider the exponentially ergodic properties of systems of SDEs in Rndriven by cylindrical stable processes,potentially with different indices across different coordinates.Our approach is based on the well-known F...
关键词：cylindrical stable process exponential ergodicity strong ergodicity Foster-Lyapunov criterion strong Feller property 
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 
Mathematical Modeling of Possibility Markov Chains by Possibility Theory
《Applied Mathematics》2024年第8期499-507,共9页Yoshiki Uemura Takemura Kazuhisa Kenji Kita 
Statistical regression models are input-oriented estimation models that account for observation errors. On the other hand, an output-oriented possibility regression model that accounts for system fluctuations is propo...
关键词：Possibility Markov Chain Ergodic Condition Direct Sum State Prior Indiscriminate State Posterior Discriminatory State 
Guillaume Broux-Quemerais,Sarah Kaakai, Anis Matoussi,Wissal Sabbagh
《Probability, Uncertainty and Quantitative Risk》2024年第2期149-180,共32页Guillaume Broux-Quemerais Sarah Kaakarl Anis Matoussi Wissal Sabbagh 
The authors research is part of the ANR project DREAMeS(ANR-21-CE46-0002)and benefited from the support of respectively the "Chair Risques Emergents en Assurance"and"Chair Impact de la Transition Climatique en Assurance"under the aegis of Fondation du Risque,a joint initiative by Risk and Insurance Institute of Le Mans,and MMA-Covea and Groupama respectively.
In this paper,we present a probabilistic numerical method for a class of forward utilities in a stochastic factor model.For this purpose,we use the representation of forward utilities using the ergodic Backward Stocha...
关键词：Deep leaming scheme Forward utilities Ergodic BSDEs Markovian solution Deep learning algorithm 
G-forward performance process and representation of homothetic case via ergodic quadratic G-BSDE
《Probability, Uncertainty and Quantitative Risk》2024年第1期85-106,共22页Yifan Sun Falei Wang 
The research of Falei Wang is supported by the National Natural Science Foundation of China(Grant Nos.12171280 and 12031009);the Natural Science Foundation of Shandong Province(Grant Nos.ZR2021YQ01 and ZR2022JQ01);the National Key Research&Development Program of China(Grant No.2018YFA0703900).
We introduce a new type of robust forward criterion under model uncertainty,called the G-forward performance process,which extends the classical notion of forward performance process to the G-expectation framework.We ...
关键词：G-forward performance process Infinite horizon G-BSDE Ergodic G-BSDE 
Groupoid Approach to Ergodic Dynamical System of Commutative von Neumann Algebra
《Advances in Pure Mathematics》2024年第3期167-184,共18页Nicholas O. Okeke Murphy E. Egwe 
Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bound...
关键词：Measure Groupoid Groupoid Equivalence Ergodic Action Convolution Algebra von Neumann Algebra Generalized Space 
Overlay CR-NOMA Assisted Intelligent Transportation System Networks with Imperfect SIC and CEEs被引量：3
《Chinese Journal of Electronics》2023年第6期1258-1270,共13页LI Xingwang GAO Xuesong LIU Yingting HUANG Gaojian ZENG Ming QIAO Dawei 
supported by the Key Project of Guizhou Science and Technology Support Program through Grant Guizhou Key Science and Support([2021]-001);the Doctoral Fund of Henan Polytechnic University(B2022-2);the National Natural Science Foundation of China(62171146,61861041);the Natural Science Foundation of Gansu Province of China(20JR5RA536,20JR10RA095);the Gansu Postdoctoral Research Funding Project。
With the development of the mobile communication and intelligent information technologies,the intelligent transportation systems driven by the sixth generation(6G)has many opportunities to achieve ultralow latency and...
关键词：Cognitive radio network Ergodic rate Imperfect successive interference cancellation Nonorthogonal multiple access Outage probability 
Performance Analysis of Intelligent Reflecting Surface Assisted Wireless Communication System被引量：1
《Computer Modeling in Engineering & Sciences》2023年第10期775-787,共13页Weiqiang Tan Quanquan Zhou Weijie Tan Longcheng Yang Chunguo Li 
supported in part by the Joint Research Fund for Guangzhou University and Hong Kong University of Science and Technology under Grant No.YH202203;the Guangzhou Basic Research Program Municipal School(College)Joint Funding Project,the Research Project of Guizhou University for Talent Introduction under Grant No.[2020]61;the Cultivation Project of Guizhou University under Grant No.[2019]56;the Open Fund of Key Laboratory of Advanced Manufacturing Technology,Ministry of Education under Grant No.GZUAMT2021KF[01];the National Natural Science Foundation of China under Grant Nos.51978089 and 62171119;the Key R&D Plan of Sichuan Science and Technology Department under Grant No.22ZDYF2726;the Chengdu Normal University Scientific Research and Innovation Team under Grant Nos.CSCXTD2020B09,ZZBS201907,CS21ZC01;the Open Project of Intelligent Manufacturing Industry Technology Research Institute under Grant No.ZNZZ2208;the National Key Research and Development Program of China under Grant No.2020YFB1807201;Key research and development plan of Jiangsu Province under Grant No.BE2021013-3.
In this paper,we investigate the end-to-end performance of intelligent reflecting surface(IRS)-assisted wireless communication systems.We consider a system in which an IRS is deployed on a uniform planar array(UPA)con...
关键词：Massive MIMO intelligent reflecting surface uniform planar array achievable ergodic rate 
Ergodic stationary distribution of two stochastic tuberculosis models with imperfect vaccination and early and late latency被引量：1
《International Journal of Biomathematics》2023年第6期27-56,共30页Qian Jiang Zhijun Liu 
This contribution probes into ergodic stationary distribution for two stochastic SVELIT(susceptible-vaccinated-early latent-late latent-infective-treated)tuberculosis(TB)models to observe the impact of white noises an...
关键词：TB models random perturbations Markov switching ergodic stationary distribution EXTINCTION 
Capacity Analysis of an MISO Free-Space Optical Communications Assisted by Concave ORIS
《Journal of Communications and Information Networks》2023年第3期295-302,共8页Frank Nonso Igboamalu Alain Richard Ndjiongue Khmaies Ouahada 
This paper explores the ergodic channel capacity of multiple-input single-output(MISO)free-space optical(FSO)communication systems,assisted by(optical)re-configurable intelligent surfaces[(O)RIS],made of concave refle...
关键词：ORIS concave reflectors MISO FSO communication systems ergodic channel capacity 
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