Search Results - "Guo, Tiexin"

Relations between some basic results derived from two kinds of topologies for a random locally convex module by Guo, Tiexin

“…The purpose of this paper is to exhibit the relations between some basic results derived from the two kinds of topologies (namely the ( ε , λ ) -topology and…”
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On Some Basic Theorems of Continuous Module Homomorphisms between Random Normed Modules by Tiexin, Guo

“…We first prove the resonance theorem, closed graph theorem, inverse operator theorem, and open mapping theorem for module homomorphisms between random normed…”
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Recent progress in random metric theory and its applications to conditional risk measures by Guo, TieXin

“…The purpose of this paper is to give a selective survey on recent progress in random metric theory and its applications to conditional risk measures. This…”
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L0-Convex Compactness and Random Normal Structure in L0 (F, B) by Guo, Tiexin, Zhang, Erxin, Wang, Yachao, Yuan, George

“…Let ( B , ∥ · ∥) be a Banach space, (Ω, F , P ) a probability space, and L 0 ( F , B ) the set of equivalence classes of strong random elements (or strongly…”
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Animal Shapes, Modal Analysis, and Visualization of Motion (I): Horse and Camel by Chen, Goong, Huang, Jingtong, Wei, Chunqiu, Yang, Jing, Scully, Matthew M., Sergeev, Alexey, Chen, Ming-Chieh, Krantz, Steven G., Yao, Pengfei, Guo, Tiexin, Wang, Junmin

“…Eigenfunctions and eigenvalues of physical systems and engineering structures can reveal many of the system’s fundamental features and, therefore, become a…”
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Animal Shapes, Modal Analysis, and Visualization of Motion (III): Giraffe, Duck, Goose, T-Rex Dinosaur, and the Flying Modes of Eagle by Yang, Jing, Chen, Goong, Wei, Chunqiu, Sergeev, Alexey, Huang, Jingtong, Scully, Matthew M., Krantz, Steven G., Yao, Pengfei, Guo, Tiexin, Wang, Junmin, Chen, Ming-Chieh, Corti, Darrell

“…This paper contains more varieties of animals, including the giraffe, bird species duck, goose and eagle, and the T-Rex dinosaur. They range across mammals,…”
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Animal Shapes, Modal Analysis, and Visualization of Motion (II): Dynamics and Fourier Decomposition by Chen, Goong, Wei, Chunqiu, Sergeev, Alexey, Yang, Jing, Huang, Jingtong Kaya, Scully, Matthew M., Chen, Ming-Chieh, Krantz, Steven G., Yao, Pengfei, Guo, Tiexin, Wang, Junmin

“…This paper begins with solving the linear elastodynamic equation with forcing by expanding it into Fourier series. We then proceed to prove the conservation…”
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Animal Shapes, Modal Analysis, and Visualization of Motion (IV): Geometric Constructions and Implementation by Yang, Jing, Chen, Goong, Wei, Chunqiu, Sergeev, Alexey, Huang, Jingtong Kaya, Scully, Matthew M., Krantz, Steven G., Yao, Pengfei, Guo, Tiexin, Wang, Junmin, Yang, Zhichun, Chen, Ming-Chieh

“…We address computer implementation and technology issues in geometric constructions for mathematical and computational modeling purposes, especially regarding…”
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Random strict convexity and random uniform convexity in random normed modules by Guo, TieXin, Zeng, XiaoLin

“…Based on the analysis of stratification structure on random normed modules, we first present random strict convexity and random uniform convexity in random…”
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The relations among the three kinds of conditional risk measures by Guo, TieXin, Zhao, ShiEn, Zeng, XiaoLin

“…Let（Ω , E, P） be a probability space, F a sub-σ-algebra of E, L^p（E）（1 p ＋∞） the classical function space and LF^p（E） the L^0（F）-module generated by L^p（E）,…”
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A basic strict separation theorem in random locally convex modules by Guo, Tiexin, Xiao, Haixia, Chen, Xinxiang

“…The central idea of this paper is to make full use of the recently developed theory of random conjugate spaces to establish a basic strict separation theorem…”
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Interpolation of Lorentz martingale spaces by Ren, YanBo, Guo, TieXin

“…In this paper, we apply function parameters, introduced by Persson, to real interpolation of Lorentz martingale spaces. Some new interpolation theorems…”
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The fixed point theorems and invariant approximations for random nonexpansive mappings in random normed modules by Wang, Yachao, Guo, Tiexin

“…By making full use of the theory of random sequential compactness in random normed modules, in this paper we establish a noncompact Dotson fixed point theorem:…”
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WEAK ATOMIC DECOMPOSITIONS OF MARTINGALE HARDY-LORENTZ SPACES AND APPLICATIONS by 任颜波 郭铁信

“…In this article, we establish some atomic decomposition theorems for martin- gale Hardy-Lorentz spaces. As applications, with the help of weak atomic…”
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Well-posedness and regularity of mean-field backward doubly stochastic Volterra integral equations and applications to dynamic risk measures by Yang, Bixuan, Wu, Jinbiao, Guo, Tiexin

“…In this paper, the theory of mean-field backward doubly stochastic Volterra integral equations (MF-BDSVIEs) is studied. First, we derive the well-posedness of…”
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Some nonlinear characterizations of reflexive Banach spaces by Tang, Yan, Zhang, Shiqing, Guo, Tiexin

“…It is well known that in the calculus of variations and in optimization there exist many formulations of the fundamental propositions on the attainment of the…”
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The fundamental theorem of affine geometry in regular L0-modules by Wu, Mingzhi, Guo, Tiexin, Long, Long

“…Let (Ω,F,P) be a probability space and L0(F) the algebra of equivalence classes of real-valued random variables defined on (Ω,F,P). A left module M over the…”
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Sampling-based adaptive design strategy for failure probability estimation by Guo, Tiexin, Wang, Hongji, Li, Jinglai, Wang, Hongqiao

“…Failure probability (FP) estimation problem is a crucial task in engineering. In this work we consider this problem in the situation that the underlying…”
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Ekelandʼs variational principle for an L ¯ 0 -valued function on a complete random metric space by Guo, Tiexin, Yang, Yujie

“…Motivated by the recent work on conditional risk measures, this paper studies the Ekelandʼs variational principle for a proper, lower semicontinuous and lower…”
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The algebraic structure of finitely generated L 0 ( F , K ) -modules and the Helly theorem in random normed modules by Guo, Tiexin, Shi, Guang

“…Let K be the scalar field of real numbers or complex numbers and L 0 ( F , K ) the algebra of equivalence classes of K-valued random variables defined on a…”
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