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Stochastics and Dynamics最新文献

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The probability of events for stochastic parabolic equations 随机抛物型方程的事件概率
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-11-09 DOI: 10.1142/s0219493722400317
G. Lv, Jinlong Wei
{"title":"The probability of events for stochastic parabolic equations","authors":"G. Lv, Jinlong Wei","doi":"10.1142/s0219493722400317","DOIUrl":"https://doi.org/10.1142/s0219493722400317","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47104695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Forward backward stochastic differential equations with delayed generators 具有延迟发生器的前向-后向随机微分方程
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-11-09 DOI: 10.1142/s0219493723500120
A. Aman, Harouna Coulibaly, J. Dordevic
{"title":"Forward backward stochastic differential equations with delayed generators","authors":"A. Aman, Harouna Coulibaly, J. Dordevic","doi":"10.1142/s0219493723500120","DOIUrl":"https://doi.org/10.1142/s0219493723500120","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43140563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deviation principles of a stochastic leray-α system with fractional dissipation 具有分数阶耗散的随机雷-α系统的偏差原理
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-10-28 DOI: 10.1142/s0219493722400275
Yueyang Wang, Guanggan Chen, Min Yang
{"title":"Deviation principles of a stochastic leray-α system with fractional dissipation","authors":"Yueyang Wang, Guanggan Chen, Min Yang","doi":"10.1142/s0219493722400275","DOIUrl":"https://doi.org/10.1142/s0219493722400275","url":null,"abstract":"This work is concerned with a stochastic Leray-[Formula: see text] system with fractional dissipation driven by multiplicative noise. It establishes the central limit theorem of the stochastic system. Moreover, building a new auxiliary system and using the classical weak convergence approach, it derives the moderate deviation principle of the stochastic system.","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46471081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Perpetual Integral Functionals of the Three-Dimensional Bessel Process 三维贝塞尔过程的一些永久积分泛函
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-10-15 DOI: 10.1142/s0219493723500089
Yukihiro Tsuzuki
{"title":"Some Perpetual Integral Functionals of the Three-Dimensional Bessel Process","authors":"Yukihiro Tsuzuki","doi":"10.1142/s0219493723500089","DOIUrl":"https://doi.org/10.1142/s0219493723500089","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42915931","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattices with markovian structure 具有马尔可夫结构的一般一维格上吉布斯态的唯一性和统计性质
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-09-27 DOI: 10.1142/s0219493723500387
V. Vargas
{"title":"Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattices with markovian structure","authors":"V. Vargas","doi":"10.1142/s0219493723500387","DOIUrl":"https://doi.org/10.1142/s0219493723500387","url":null,"abstract":"Let $M$ be a compact metric space and $X = M^{mathbb{N}}$, we consider a set of admissible sequences $X_{A, I} subset X$ determined by a continuous admissibility function $A : M times M to mathbb{R}$ and a compact set $I subset mathbb{R}$. Given a Lipschitz continuous potential $varphi : X_{A, I} to mathbb{R}$, we prove uniqueness of the Gibbs state $mu_varphi$ and we show that it is a Gibbs-Bowen measure and satisfies a central limit theorem.","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48517839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Small perturbations may change the sign of Lyapunov exponents for linear SDEs 小扰动可能会改变线性SDE的李雅普诺夫指数的符号
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-08-13 DOI: 10.1142/s021949372240038x
Xianjin Cheng, Zhenxin Liu, Lixin Zhang
{"title":"Small perturbations may change the sign of Lyapunov exponents for linear SDEs","authors":"Xianjin Cheng, Zhenxin Liu, Lixin Zhang","doi":"10.1142/s021949372240038x","DOIUrl":"https://doi.org/10.1142/s021949372240038x","url":null,"abstract":". In this paper, we study the existence of n -dimensional linear stochastic differential equations (SDEs) such that the sign of Lyapunov exponents are changed under an exponentially decaying perturbation. First, we show that the equation with all positive Lyapunov exponents will have n − 1 linearly independent solutions with negative Lyapunov exponents under the perturbation. Meanwhile, we prove that the equation with all negative Lyapunov exponents will also have solutions with positive Lyapunov exponents under another similar perturbation. Finally, we also show that other three kinds of perturbations which appear at different positions of the equation will change the sign of Lyapunov exponents.","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48163210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Induced Measure-Theoretic Entropy for Random Dynamical Systems 随机动力系统的诱导测度熵
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-08-10 DOI: 10.1142/s0219493722500307
Kexiang Yang, Ercai Chen, Xiaoyao Zhou
{"title":"On the Induced Measure-Theoretic Entropy for Random Dynamical Systems","authors":"Kexiang Yang, Ercai Chen, Xiaoyao Zhou","doi":"10.1142/s0219493722500307","DOIUrl":"https://doi.org/10.1142/s0219493722500307","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45413783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Representation of solutions to sticky stochastic differential equations 粘性随机微分方程解的表示
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-07-22 DOI: 10.1142/s0219493723500053
J. Garzón, J. León, S. Torres
{"title":"Representation of solutions to sticky stochastic differential equations","authors":"J. Garzón, J. León, S. Torres","doi":"10.1142/s0219493723500053","DOIUrl":"https://doi.org/10.1142/s0219493723500053","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46707982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Space-time fractional Anderson model driven by Gaussian noise rough in space 空间粗糙高斯噪声驱动的时空分数阶安德森模型
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-06-17 DOI: 10.1142/s021949372350003x
Junfeng Liu, Zhi Wang, Zengwu Wang
{"title":"Space-time fractional Anderson model driven by Gaussian noise rough in space","authors":"Junfeng Liu, Zhi Wang, Zengwu Wang","doi":"10.1142/s021949372350003x","DOIUrl":"https://doi.org/10.1142/s021949372350003x","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41424534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global solution to non self-adjoint stochastic Volterra Equation 非自伴随随机Volterra方程的全局解
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-06-17 DOI: 10.1142/s0219493723500041
M. Kiyanpour, B. Z. Zangeneh, Ruhollah Jahanipur
{"title":"Global solution to non self-adjoint stochastic Volterra Equation","authors":"M. Kiyanpour, B. Z. Zangeneh, Ruhollah Jahanipur","doi":"10.1142/s0219493723500041","DOIUrl":"https://doi.org/10.1142/s0219493723500041","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46992952","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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