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Weak Mixed Martingale Hardy Spaces: 《数学进展》2024年第6期1256-1270,共15页ZHANG Chuanzhou LUO Ziyu ZHANG Xueying; Supported by NSFC(No.11871195)。; In this paper,the authors introduce weak mixed martingale Hardy spaces defined with the help of weak mixed L^(p→) norm.The authors establish atomic decompositions of weak mixed martingale Hardy spaces and give the su...; 关键词：weak mixed space atomic decomposition σ-sublinear

Multi-dimensional Backward Stochastic Differential Equations of Diagonally Quadratic Generators with a Special Structure: 《Chinese Annals of Mathematics,Series B》2024年第6期855-868,共14页Guang YANG; supported by the National Natural Science Foundation of China(Nos.11631004,12031009).; The present paper is devoted to the well-posedness of a type of multi-dimensional backward stochastic differential equations(BSDE for short)with a diagonally quadratic generator.The author gives a new priori estimate,...; 关键词：Multi-dimensional BSDE Diagonally quadratic generator BMO martingale

Non-symmetric differentially subordinate martingales and sharp weak-type bounds for Fourier multipliers: 《Science China Mathematics》2024年第8期1807-1826,共20页Meryem Akboudj Yong Jiao Adam Osękowski; supported by National Natural Science Foundation of China(Grant Nos.12125109 and 11961131003)。; Let p>2 be a given exponent.In this paper,we prove,with the best constant,the weak-type(p,p)inequality■for a large class of non-symmetric Fourier multipliers T_(m) obtained via modulation of jumps of certain Lévy pr...; 关键词：weak-type bound Fourier multiplier MARTINGALE differential subordination laminate

Functional Shige Peng’s Central Limit Theorems for Martingale Vectors: 《Communications in Mathematics and Statistics》2024年第2期357-383,共27页Li-Xin Zhang; Supported by grants from the NSF of China(Grant No.11731012,12031005);Ten Thousands Talents Plan of Zhejiang Province(Grant No.2018R52042);NSF of Zhejiang Province(Grant No.LZ21A010002);the Fundamental Research Funds for the Central Universities.; In this paper,the functional central limit theorem is established for martingale like ran-dom vectors under the framework sub-linear expectations introduced by Shige Peng.As applications,the Lindeberg central limit th...; 关键词：Random vector Central limit theorem Functional central limit theorem Martingale difference Sub-linear expectation

Strong invariance principle for a counterbalanced random walk: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期370-380,共11页TAN Hui-qun HU Zhi-shui DONG Liang; Supported by the National Natural Science Foundation of China(11671373).; We study a counterbalanced random walkS_(n)=X_(1)+…+X_(n),which is a discrete time non-Markovian process andX_(n) are given recursively as follows.For n≥2,X_(n) is a new independent sample from some fixed law̸=0 wit...; 关键词：random walk MARTINGALE invariance principle

Attitude control of multi-spacecraft systems on SO(3)with stochastic links failure: 《Chinese Journal of Aeronautics》2024年第3期320-331,共12页KANG Zeyu SHEN Qiang WU Shufan Chris J.DAMAREN MU Zhongcheng; supported in part by the National Natural Science Foundation of China(Nos.U20B2054,U20B2056 and 62103275);the Natural Science Foundation of Shanghai,China(No.23ZR1432400)。; In this paper,for Multi-Spacecraft System(MSS)with a directed communication topology link and a static virtual leader,a controller is proposed to realize attitude consensus and attitude stabilization with stochastic l...; 关键词：Multi-spacecraft systems Attitude consensus Attitude stabilization Stochastic links failure Super-martingale convergence

Noncommutative martingale Hardy-Orlicz spaces:Dualities and inequalities: 《Science China Mathematics》2023年第9期2081-2104,共24页Yong Jiao Lian Wu Dejian Zhou; supported by National Natural Science Foundation of China(Grant Nos.12125109,11971484 and 12001541);Natural Science Foundation of Hunan(Grant No.2021JJ40714);Changsha Municipal Natural Science Foundation(Grant No.kq2014118)。; We investigate dualities and inequalities related to noncommutative martingale Hardy-Orlicz spaces.More precisely,for a concave Orlicz functionΦ,we characterize the dual spaces of noncommutative martingale Hardy-Orli...; 关键词：noncommutative martingales Hardy spaces duality Lipschitz spaces Orlicz functions

The Spread Speed of Multiple Catalytic Branching Random Walks: 《Acta Mathematicae Applicatae Sinica》2023年第2期262-292,共31页Rong-li LIU; supported in part by the National Natural Science Foundation of China (No.12271374)。; In this paper we study the asymptotic behavior of the maximal position of a supercritical multiple catalytic branching random walk(X_(n))on Z.If M_(n) is its maximal position at time n,we prove that there is a constan...; 关键词：catalytic branching random walk invariant measure martingale change of measure spine decomposition

A Two-Step Algorithm to Estimate Variable Importance for Multi-State Data:An Application to COVID-19: 《Computer Modeling in Engineering & Sciences》2023年第6期2047-2064,共18页Behnaz Alafchi Leili Tapak Hassan Doosti Christophe Chesneau Ghodratollah Roshanaei; Survival data with amulti-state structure are frequently observed in follow-up studies.An analytic approach based on a multi-state model(MSM)should be used in longitudinal health studies in which a patient experiences...; 关键词：Multi-state data deviance residual martingale residual gradient boosting randomforest neural network variable importance variable selection

Incompressible Limit of the Compressible Q-tensor System of Liquid Crystals: 《Acta Mathematicae Applicatae Sinica》2023年第1期179-201,共23页Yi-xuan WANG; supported in part by the NSF grant DMS-1907519。; We study the connection between the compressible Navier-Stokes equations coupled by the Qtensor equation for liquid crystals with the incompressible system in the periodic case, when the Mach number is low. To be more...; 关键词：compressible liquid crystal system Q-tensor weak solutions martingale solution stochastic compactness Mach number incompressible limit

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