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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
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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":" ","pages":""},"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":"1 1","pages":""},"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":" ","pages":""},"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
Convergence problem of reduced Ostrovsky equation in Fourier-Lebesgue spaces with rough data and random data 具有粗糙数据和随机数据的傅立叶-勒贝格空间中简化Ostrovsky方程的收敛性问题
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-06-03 DOI: 10.1142/s0219493723500016
Xiangqian Yan, Wei Yan, Yajuan Zhao, Meihua Yang
{"title":"Convergence problem of reduced Ostrovsky equation in Fourier-Lebesgue spaces with rough data and random data","authors":"Xiangqian Yan, Wei Yan, Yajuan Zhao, Meihua Yang","doi":"10.1142/s0219493723500016","DOIUrl":"https://doi.org/10.1142/s0219493723500016","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41843953","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 properties for linear self-attracting diffusion process and applications 线性自吸引扩散过程的偏差特性及其应用
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-06-03 DOI: 10.1142/s0219493722500289
Hui Jiang, Yajuan Pan
{"title":"Deviation properties for linear self-attracting diffusion process and applications","authors":"Hui Jiang, Yajuan Pan","doi":"10.1142/s0219493722500289","DOIUrl":"https://doi.org/10.1142/s0219493722500289","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44742653","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
Periodic measures for a class of SPDEs with regime-switching 一类带状态交换的spde的周期测度
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-06-02 DOI: 10.1142/s021949372350034x
Chun Ho Lau, Weiling Sun
{"title":"Periodic measures for a class of SPDEs with regime-switching","authors":"Chun Ho Lau, Weiling Sun","doi":"10.1142/s021949372350034x","DOIUrl":"https://doi.org/10.1142/s021949372350034x","url":null,"abstract":"We use the variational approach to investigate periodic measures for a class of SPDEs with regime-switching. The hybrid system is driven by degenerate L'{e}vy noise. We use the Lyapunov function method to study the existence of periodic measures and show the uniqueness of periodic measures by establishing the strong Feller property and irreducibility of the associated time-inhomogeneous semigroup. The main results are applied to stochastic porous media equations with regime-switching.","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45479125","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
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise 非平凡分数噪声驱动随机演化方程集值动力系统的随机吸引子
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-05-14 DOI: 10.1142/s0219493722400184
M. Garrido-Atienza, B. Schmalfuss, J. Valero
{"title":"Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise","authors":"M. Garrido-Atienza, B. Schmalfuss, J. Valero","doi":"10.1142/s0219493722400184","DOIUrl":"https://doi.org/10.1142/s0219493722400184","url":null,"abstract":"We consider a stochastic evolution equation driven by a fractional Brownian motion in a separable Hilbert space with Hurst parameter [Formula: see text]. The coefficient in front of the noise is in general nonlinear. The related integral is a pathwise integral defined by fractional derivatives. The nonlinear coefficients of this equation satisfy weak conditions ensuring only existence of a solution but not uniqueness. This equation generates then a multivalued random dynamical system. We prove the existence of a random attractor for this system.","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43206107","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: 2
Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise 由lsamvy噪声驱动的随机方程的均值的不变测度和有界性
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-05-14 DOI: 10.1142/s0219493722400196
B. Maslowski, O. Týbl
{"title":"Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise","authors":"B. Maslowski, O. Týbl","doi":"10.1142/s0219493722400196","DOIUrl":"https://doi.org/10.1142/s0219493722400196","url":null,"abstract":"Existence of invariant measures and average stability in the mean are studied for stochastic differential equations driven by Lévy process. In particular, some natural conditions are found that verify stabilization of the equation (in the sense of the existence of invariant measures) by jump noise terms. These conditions are verified in several examples.","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41439752","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: 1
Local zero-stability of rough evolution equations 粗糙演化方程的局部零稳定性
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-05-10 DOI: 10.1142/s0219493722400159
R. Hesse
{"title":"Local zero-stability of rough evolution equations","authors":"R. Hesse","doi":"10.1142/s0219493722400159","DOIUrl":"https://doi.org/10.1142/s0219493722400159","url":null,"abstract":"We analyze the long time behavior of solutions to rough parabolic equations. More precisely, we show local exponential stability for the mild solution driven by a fractional Brownian motion with Hurst parameter [Formula: see text].","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46219334","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: 1
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