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The β-Delaunay tessellation IV: Mixing properties and central limit theorems β-Delaunay镶嵌IV:混合性质和中心极限定理
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-30 DOI: 10.1142/s0219493723500211
A. Gusakova, Z. Kabluchko, Christoph Thale
{"title":"The β-Delaunay tessellation IV: Mixing properties and central limit theorems","authors":"A. Gusakova, Z. Kabluchko, Christoph Thale","doi":"10.1142/s0219493723500211","DOIUrl":"https://doi.org/10.1142/s0219493723500211","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46191021","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
Analysis of a microfluidic chemostat model with random dilution ratios 具有随机稀释比的微流体恒化器模型的分析
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-20 DOI: 10.1142/s0219493722400354
Jifa Jiang, Xiang Lv
{"title":"Analysis of a microfluidic chemostat model with random dilution ratios","authors":"Jifa Jiang, Xiang Lv","doi":"10.1142/s0219493722400354","DOIUrl":"https://doi.org/10.1142/s0219493722400354","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43277001","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
Entropy estimates for uniform attractors of 2D Navier-Stokes equations with weakly normal measures 具有弱正规测度的二维Navier-Stokes方程一致吸引子的熵估计
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-20 DOI: 10.1142/s0219493722400366
Yangmin Xiong, Xiaoya Song, Chunyou Sun
{"title":"Entropy estimates for uniform attractors of 2D Navier-Stokes equations with weakly normal measures","authors":"Yangmin Xiong, Xiaoya Song, Chunyou Sun","doi":"10.1142/s0219493722400366","DOIUrl":"https://doi.org/10.1142/s0219493722400366","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41492773","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
LaSalle-Type Stationary Oscillation Principle for Stochastic Affine Periodic Systems 随机仿射周期系统的lasalle型平稳振荡原理
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-20 DOI: 10.1142/s0219493722400342
Xiaomeng Jiang, Yong Li, Xue Yang
{"title":"LaSalle-Type Stationary Oscillation Principle for Stochastic Affine Periodic Systems","authors":"Xiaomeng Jiang, Yong Li, Xue Yang","doi":"10.1142/s0219493722400342","DOIUrl":"https://doi.org/10.1142/s0219493722400342","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42471488","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
Stochastic rotating waves 随机旋转波
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-19 DOI: 10.1142/s0219493722400299
Christian Kuehn, James MacLaurin, Giulio Zucal
{"title":"Stochastic rotating waves","authors":"Christian Kuehn, James MacLaurin, Giulio Zucal","doi":"10.1142/s0219493722400299","DOIUrl":"https://doi.org/10.1142/s0219493722400299","url":null,"abstract":"<p>Stochastic dynamics has emerged as one of the key themes ranging from models in applications to theoretical foundations in mathematics. One class of stochastic dynamics problems that has recently received considerable attention are traveling wave patterns occurring in stochastic partial differential equations (SPDEs). Here, one is interested in how deterministic traveling waves behave under stochastic perturbations. In this paper, we start the mathematical study of a related class of problems: stochastic rotating waves generated by SPDEs. We combine deterministic partial differential equation (PDE) dynamics techniques with methods from stochastic analysis. We establish two different approaches, the variational phase and the approximated variational phase, for defining stochastic phase variables along the rotating wave, which track the effect of noise on neutral spectral modes associated to the special Euclidean symmetry group of rotating waves. Furthermore, we prove transverse stability results for rotating waves showing that over certain time scales and for small noise, the stochastic rotating wave stays close to its deterministic counterpart.</p>","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":"88 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531952","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
Approximation for a generalized Langevin equation with high oscillation in time and space 具有高时空振荡的广义朗之万方程的近似
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-13 DOI: 10.1142/s0219493722400305
Dong Su, Wei Wang
{"title":"Approximation for a generalized Langevin equation with high oscillation in time and space","authors":"Dong Su, Wei Wang","doi":"10.1142/s0219493722400305","DOIUrl":"https://doi.org/10.1142/s0219493722400305","url":null,"abstract":"<p>This paper derives an approximation for a generalized Langevin equation driven by a force with random oscillation in time and periodic oscillation in space. By a diffusion approximation and the weak convergence of periodic oscillation function, the solution of the generalized Langevin equation is shown to converge in distribution to the solution of a stochastic partial differential equations (SPDEs) driven by time white noise.</p>","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":"185 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531949","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
Bohl–Perron theorem for random dynamical systems 随机动力系统的Bohl-Perron定理
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-13 DOI: 10.1142/s0219493723500107
Nguyen Huu Du, Tran Manh Cuong, Ta Thi Trang
{"title":"Bohl–Perron theorem for random dynamical systems","authors":"Nguyen Huu Du, Tran Manh Cuong, Ta Thi Trang","doi":"10.1142/s0219493723500107","DOIUrl":"https://doi.org/10.1142/s0219493723500107","url":null,"abstract":"<p>In this paper, we consider the Bohl–Perron Theorem for linear random dynamical systems. We prove that the tempered exponential stability of a linear co-cycle is equivalent to the boundedness of solutions for inherit difference equation. Paper also proves a similar concept for co-cycle admitting a tempered exponential dichotomy.</p>","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":"58 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531950","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 of nonlinear filtering for multiscale systems with correlated Levy noises 具有相关Levy噪声的多尺度系统非线性滤波的收敛性
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-07 DOI: 10.1142/s0219493723500168
H. Qiao
{"title":"Convergence of nonlinear filtering for multiscale systems with correlated Levy noises","authors":"H. Qiao","doi":"10.1142/s0219493723500168","DOIUrl":"https://doi.org/10.1142/s0219493723500168","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42736258","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
An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion 次分数布朗运动下模糊随机微分方程的近似方法
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-07 DOI: 10.1142/s021949372350017x
H. Jafari, Hamed Farahani, M. J. Ebadi
{"title":"An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion","authors":"H. Jafari, Hamed Farahani, M. J. Ebadi","doi":"10.1142/s021949372350017x","DOIUrl":"https://doi.org/10.1142/s021949372350017x","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42694894","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
Dynamics of a multi-species lottery competition model in stochastic environments 随机环境下多物种彩票竞争模型的动力学
IF 1.1 4区 数学
Stochastics and Dynamics Pub Date : 2022-12-06 DOI: 10.1142/s0219493722400287
Jiaqi Cheng, Xiaoying Han, Ming Liao
{"title":"Dynamics of a multi-species lottery competition model in stochastic environments","authors":"Jiaqi Cheng, Xiaoying Han, Ming Liao","doi":"10.1142/s0219493722400287","DOIUrl":"https://doi.org/10.1142/s0219493722400287","url":null,"abstract":"<p>An <i>N</i>-dimensional lottery model for competition among <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>N</mi><mo>≥</mo><mn>2</mn></math></span><span></span> ecological species in stochastic environments is studied under the i.i.d. assumption. First, a system of nonlinear stochastic differential equations (SDEs) is developed as the diffusion approximation for the discrete lottery model. Then the existence and uniqueness of positive and bounded global solutions, as well as long-term dynamics for the solution are investigated. In particular, sufficient conditions under which extinction and persistence occur are constructed, respectively.</p>","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":"10 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2022-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138531948","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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