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INVARIANT_MEASURE: 作品数：33被引量：33H指数：3; 导出分析报告; 相关作者：周作领更多>>; 相关机构：中山大学更多>>; 相关期刊：《Science China Mathematics》《Communications in Theoretical Physics》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家重点基础研究发展计划俄罗斯基础研究基金更多>>

Invariant measure for cubic Fibonacci-like polynomials: 《中国科学技术大学学报》2024年第8期7-12,6,I0002,共8页Wenxiu Ma; A special class of cubic polynomials possessing decay of geometry property is studied.This class of cubic bimodal maps has generalized Fibonacci combinatorics.For maps with bounded combinatorics,we show that they have...; 关键词：Fibonacci combinatorics cubic polynomial decay of geometry invariant measure

DYNAMICS OF THE STOCHASTIC g-NAVIER-STOKES EQUATIONS DRIVEN BY NONLINEAR NOISE: 《Acta Mathematica Scientia》2023年第5期2108-2120,共13页晏涛张露邹爱红舒级; supported by the National NaturalScience Foundation of China(11871138);the Sichuan Science and Technology Program(2023NSFSC0076)。; This paper deals with the asymptotic behavior of solutions of the stochastic g-Navier-Stokes equation driven by nonlinear noise.The existence and uniqueness of weak pullback mean random attractors for the equation in ...; 关键词：non-Newtonian fuid weak pullback attractor mean random dynamical system nonlinear noise invariant measure

Recent Results on Recurrent Solutions and Limit Distributions of SDEs: 《Communications in Mathematical Research》2023年第3期476-500,共25页Zhenxin Liu; supported by NSFC (Grants 11871132,11925102);Dalian High-level Talent Innovation Project (Grant 2020RD09);Xinghai Jieqing fund from Dalian University of Technology.; The limit distribution for homogeneous Markov processes is studied extensively and well understood,but it is not the case for inhomogeneous Markov processes.In this paper,we review some recent results on inhomogeneous...; 关键词：Recurrent solution stochastic differential equation invariant measure Markov process

Invariant measures for the strong-facilitated exclusion process: 《Applied Mathematics(A Journal of Chinese Universities)》2023年第3期317-337,共21页LEI Yu-huan SU Zhong-gen; Supported in part by the National Natural Science Foundation of China(11731012, 11871425, 12271475);Fundamental Research Funds for Central Universities grant(2020XZZX002-03)。; Consider a generalized model of the facilitated exclusion process, which is a onedimensional exclusion process with a dynamical constraint that prevents the particle at site x from jumping to x+1 (or x-1) if the sites...; 关键词：equivalence of ensembles exclusion process facilitated dynamic invariant measure

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

Well-posedness and dynamics of fractional Fitz Hugh-Nagumo systems on R^(N) driven by nonlinear noise: 《Science China Mathematics》2021年第11期2395-2436,共42页Renhai Wang Boling Guo Bixiang Wang; supported by the China Scholarship Council(Grant No.201806990064)。; This article is concerned with the well-posedness as well as long-term dynamics of a wide class of non-autonomous,non-local,fractional,stochastic Fitz Hugh-Nagumo systems driven by nonlinear noise defined on the entir...; 关键词：fractional Fitz Hugh-Nagumo system weak pullback mean random attractor invariant measure nonlinear noise unbounded domain

Convergence,boundedness,and ergodicity of regime-switching diusion processes with infinite memory被引量：1: 《Frontiers of Mathematics in China》2021年第2期499-523,共25页Jun LI Fubao XI; This work was supported in part by the National Natural Science Foundation of China(Grant No.12071031).; We study a class of diffusion processes, which are determined by solutions X(t) to stochastic functional differential equation with infinite memory and random switching represented by Markov chain Λ(t): Under suitabl...; 关键词：Regime-switching diffusion process infinite memory CONVERGENCE BOUNDEDNESS Feller property invariant measure Wasserstein distance

Centre symmetric quadruple pattern-based illumination invariant measure: 《Journal of Southeast University(English Edition)》2020年第4期407-413,共7页Hu Changhui Zhang Yang Lu Xiaobo Liu Pan; The National Natural Science Foundation of China(No.61802203);the Natural Science Foundation of Jiangsu Province(No.BK20180761);China Postdoctoral Science Foundation(No.2019M651653);Postdoctoral Research Funding Program of Jiangsu Province(No.2019K124).; A centre symmetric quadruple pattern-based illumination invariant measure(CSQPIM)is proposed to tackle severe illumination variation face recognition.First,the subtraction of the pixel pairs of the centre symmetric qu...; 关键词：centre symmetric quadruple pattern illumination invariant measure severe illumination variations single sample face recognition

Inverse shadowing and related measures被引量：1: 《Science China Mathematics》2020年第9期1825-1836,共12页Sergey G.Kryzhevich Sergei Yu.Pilyugin; This work was supported by the Russian Foundation for Basic Researches(Grant No.18-01-00230-a).; We study various weaker forms of the inverse shadowing property for discrete dynamical systems on a smooth compact manifold.First,we introduce the so-called ergodic inverse shadowing property(Birkhoff averages of cont...; 关键词：inverse shadowing invariant measure HYPERBOLICITY axiom A STABILITY

Dual mean Minkowski measures of symmetry for convex bodies被引量：4: 《Science China Mathematics》2016年第7期1383-1394,共12页GUO Qi TOTH Gabor; supported by National Natural Science Foundation of China (Grant No. 11271282);the Jiangsu Specified Fund for Foreigner Scholars 2014–2015; We introduce and study a sequence of geometric invariants for convex bodies in finite-dimensional spaces, which is in a sense dual to the sequence of mean Minkowski measures of symmetry proposed by the second author. ...; 关键词：geometric invariant measure of symmetry dual measure of symmetry simplex affine diameter

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