Pub Date : 2023-04-28DOI: 10.1142/s0219493723500326
Zeya Mi
{"title":"Stochastic Stability for Partially Hyperbolic Diffeomorphisms with Mostly Expanding and Mostly Contracting Centers","authors":"Zeya Mi","doi":"10.1142/s0219493723500326","DOIUrl":"https://doi.org/10.1142/s0219493723500326","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42801206","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}
Pub Date : 2023-04-28DOI: 10.1142/s0219493723500351
Brahim El Asri, Nacer Ourkia
{"title":"Infinite Horizon Multi-Dimensional BSDE with Oblique Reflection and Switching Problem","authors":"Brahim El Asri, Nacer Ourkia","doi":"10.1142/s0219493723500351","DOIUrl":"https://doi.org/10.1142/s0219493723500351","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63840447","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}
Pub Date : 2023-04-28DOI: 10.1142/s0219493723400014
Xingyuan Bu
{"title":"Climate change for global warming 1.5°C under the influence of multiplicative Gaussian noise","authors":"Xingyuan Bu","doi":"10.1142/s0219493723400014","DOIUrl":"https://doi.org/10.1142/s0219493723400014","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49352342","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}
Pub Date : 2023-03-06DOI: 10.1142/s0219493723500296
Maoudo Faramba Balde, R. Belfadli, Khalifa Es-Sebaiy
{"title":"Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes","authors":"Maoudo Faramba Balde, R. Belfadli, Khalifa Es-Sebaiy","doi":"10.1142/s0219493723500296","DOIUrl":"https://doi.org/10.1142/s0219493723500296","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46401764","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}
Pub Date : 2023-03-03DOI: 10.1142/s0219493723500260
Ruifang Wang, Yong Xu, B. Pei
{"title":"Stochastic averaging for a completely integrable Hamiltonian system with fractional Brownian motion","authors":"Ruifang Wang, Yong Xu, B. Pei","doi":"10.1142/s0219493723500260","DOIUrl":"https://doi.org/10.1142/s0219493723500260","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43266753","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}
Pub Date : 2023-02-10DOI: 10.1142/s0219493723500223
J. Villarroel, J. A. Vega
{"title":"The two barrier escape problem for compound renewal processes with two-sided jumps","authors":"J. Villarroel, J. A. Vega","doi":"10.1142/s0219493723500223","DOIUrl":"https://doi.org/10.1142/s0219493723500223","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48851626","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}
Pub Date : 2023-02-10DOI: 10.1142/s0219493723500247
Xuekang Zhang
{"title":"Asymptotic behaviour of maximum likelihood estimators for Ornstein-Uhlenbeck process with large linear drift","authors":"Xuekang Zhang","doi":"10.1142/s0219493723500247","DOIUrl":"https://doi.org/10.1142/s0219493723500247","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46599329","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}
Pub Date : 2023-02-10DOI: 10.1142/s0219493723500235
Jinshu Chen, Shexiang Hai
{"title":"Ergodicity of exclusion semigroups constructed form quantum Bernoulli noises","authors":"Jinshu Chen, Shexiang Hai","doi":"10.1142/s0219493723500235","DOIUrl":"https://doi.org/10.1142/s0219493723500235","url":null,"abstract":"","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44983212","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}
Pub Date : 2023-02-03DOI: 10.1142/s0219493722400330
Hongyan Ma, Hongjun Gao
In this paper, we consider a class of rough nonlinear evolution equations driven by infinite-dimensional -Hölder rough paths with . First, we give a proper integral with respect to infinite-dimensional -Hölder rough paths by using rough paths theory. Second, we obtain the global in time solution and random dynamical system of rough evolution equation. Finally, we derive the existence of local unstable manifolds for rough evolution equations by a properly discretized Lyapunov–Perron method.
{"title":"Unstable manifolds for rough evolution equations","authors":"Hongyan Ma, Hongjun Gao","doi":"10.1142/s0219493722400330","DOIUrl":"https://doi.org/10.1142/s0219493722400330","url":null,"abstract":"<p>In this paper, we consider a class of rough nonlinear evolution equations driven by infinite-dimensional <span><math altimg=\"eq-00001.gif\" display=\"inline\" overflow=\"scroll\"><mi>γ</mi></math></span><span></span>-Hölder rough paths with <span><math altimg=\"eq-00002.gif\" display=\"inline\" overflow=\"scroll\"><mi>γ </mi><mi>∈ </mi><mo stretchy=\"false\">(</mo><mn>1</mn><mo stretchy=\"false\">/</mo><mn>3</mn><mo>,</mo><mn>1</mn><mo stretchy=\"false\">/</mo><mn>2</mn><mo stretchy=\"false\">]</mo></math></span><span></span>. First, we give a proper integral with respect to infinite-dimensional <span><math altimg=\"eq-00003.gif\" display=\"inline\" overflow=\"scroll\"><mi>γ</mi></math></span><span></span>-Hölder rough paths by using rough paths theory. Second, we obtain the global in time solution and random dynamical system of rough evolution equation. Finally, we derive the existence of local unstable manifolds for rough evolution equations by a properly discretized Lyapunov–Perron method.</p>","PeriodicalId":51170,"journal":{"name":"Stochastics and Dynamics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138507998","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}
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