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Dynamical Systems-An International Journal最新文献

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An étale equivalence relation on a tiling space arising from a two-sided subshift and associated C*-algebras 由双边子移位和相关C*-代数引起的平铺空间上的一个étale等价关系
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-06-03 DOI: 10.1080/14689367.2021.1928605
Kengo Matsumoto
{"title":"An étale equivalence relation on a tiling space arising from a two-sided subshift and associated C*-algebras","authors":"Kengo Matsumoto","doi":"10.1080/14689367.2021.1928605","DOIUrl":"https://doi.org/10.1080/14689367.2021.1928605","url":null,"abstract":"A λ-graph bisystem consists of a pair of two labelled Bratteli diagrams, that presents a two-sided subshift . We will construct a compact totally disconnected metric space consisting of tilings of a two-dimensional half plane from a λ-graph bisystem. The tiling space has a certain AF-equivalence relation written with a natural shift homeomorphism coming from the shift homeomorphism on the subshift . The equivalence relation yields an AF-algebra with an automorphism induced by . We will study invariance of the étale equivalence relation , the groupoid and the groupoid -algebras , under topological conjugacy of the presenting two-sided subshifts.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1928605","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43125414","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
Unstable topological entropy in mean u-metrics for partially hyperbolic systems 部分双曲型系统平均u度量中的不稳定拓扑熵
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-06-03 DOI: 10.1080/14689367.2021.1923659
Ping Huang, Chenwei Wang, Ercai Chen
{"title":"Unstable topological entropy in mean u-metrics for partially hyperbolic systems","authors":"Ping Huang, Chenwei Wang, Ercai Chen","doi":"10.1080/14689367.2021.1923659","DOIUrl":"https://doi.org/10.1080/14689367.2021.1923659","url":null,"abstract":"In this paper, we give the definition of unstable topological entropy in mean u-metrics (the mean metrics in the unstable manifold) for partially hyperbolic systems. By establishing Katok's entropy formula of unstable metric entropy in mean u-metrics, we prove that the new unstable topological entropy is equal to the unstable topological entropy defined in Bowen u-metrics (the Bowen metrics in the unstable manifold). Finally, we obtain the variational principle related to the unstable topological entropy defined in mean u-metrics and unstable metric entropy, which states that the unstable topological entropy defined in mean u-metrics is the supremum of the unstable metric entropy taken over all invariant measures.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1923659","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49319217","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
Decay of correlations and memory loss for Lasota–Yorke convex maps Lasota-Yorke凸映射的相关性衰减和记忆丢失
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-06-03 DOI: 10.1080/14689367.2021.1924622
Hongfei Cui
{"title":"Decay of correlations and memory loss for Lasota–Yorke convex maps","authors":"Hongfei Cui","doi":"10.1080/14689367.2021.1924622","DOIUrl":"https://doi.org/10.1080/14689367.2021.1924622","url":null,"abstract":"For a class of piecewise convex maps f on the interval , we show that f has a unique absolutely continuous invariant probability measure μ with exponential decay of correlations, and we also present the explicit upper bounds on the rate. Moreover, we show the exponential loss of memory for a sequential dynamical system consisting of piecewise convex maps.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1924622","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42588424","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
Correction 校正
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-05-01 DOI: 10.1080/14689367.2022.2070351
H.‐C. Huang, Truyen Nguyen, C. B. Pickett
{"title":"Correction","authors":"H.‐C. Huang, Truyen Nguyen, C. B. Pickett","doi":"10.1080/14689367.2022.2070351","DOIUrl":"https://doi.org/10.1080/14689367.2022.2070351","url":null,"abstract":"BIOCHEMISTRY. For the article ‘‘Regulation of the antioxidant response element by protein kinase C-mediated phosphorylation of NF-E2-related factor 2,’’ by H.-C. Huang, Truyen Nguyen, and Cecil B. Pickett, which appeared in number 23, November 7, 2000, of Proc. Natl. Acad. Sci. USA (97, 12475–12480), the authors note the following corrections due to printer’s errors. (i) The experimental concentrations of several reagents were listed erroneously in a number of places in the text and figure legends. They should have read as follows: tBHQ (100 mM), bNF (50 mM), U0126 (10 mM), and Ro-32–0432 (2 mM). (ii) In the section on the in vitro phosphorylation of Nrf2 by PKC (Fig. 5 legend and the corresponding Materials and Methods), the following concentrations should have appeared: Nrf2 (2 mM), PKC (5 nM), ATP (200 mM), and [g-33P]ATP (2 mCi). (iii) In addition, the following were omitted from the list of references:","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42090799","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 of billiard coding in polygons 多边形中台球编码的唯一性
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-04-25 DOI: 10.1080/14689367.2021.1914553
Liu Yunzhe
{"title":"Uniqueness of billiard coding in polygons","authors":"Liu Yunzhe","doi":"10.1080/14689367.2021.1914553","DOIUrl":"https://doi.org/10.1080/14689367.2021.1914553","url":null,"abstract":"We consider polygonal billiards and we show the uniqueness of coding of non-periodic billiard trajectories in polygons whose holes have non-zero minimal diameters, generalising a theorem of Galperi...","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1914553","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60089153","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
One-sided topological conjugacy of normal subshifts and gauge actions on the associated C*-algebras 相关C*-代数上正规子移的单侧拓扑共轭性及规范作用
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-04-06 DOI: 10.1080/14689367.2021.1970115
Kengo Matsumoto
{"title":"One-sided topological conjugacy of normal subshifts and gauge actions on the associated C*-algebras","authors":"Kengo Matsumoto","doi":"10.1080/14689367.2021.1970115","DOIUrl":"https://doi.org/10.1080/14689367.2021.1970115","url":null,"abstract":"The class of normal subshifts includes irreducible nontrivial topological Markov shifts, irreducible nontrivial sofic shifts, synchronized systems, Dyck shifts, β-shifts, substitution minimal shifts, and so on. We will characterize one-sided topological conjugacy classes of normal subshifts in terms of the associated -algebras and its gauge actions with potentials. In particular, the one-sided topological conjugacy class of irreducible nontrivial sofic shifts are characterized in terms of the simple purely infinite Cuntz-Krieger algebras associated with the matrices of its left Fischer cover graphs and gauge actions with potentials. This generalizes the author's previous result for irreducible nontrivial topological Markov shifts and Cuntz-Krieger algebras with gauge actions.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48489522","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: 4
Pressure inequalities for Gibbs measures of countable Markov shifts 可数Markov位移的Gibbs测度的压力不等式
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-04-03 DOI: 10.1080/14689367.2021.1905777
René Rühr
{"title":"Pressure inequalities for Gibbs measures of countable Markov shifts","authors":"René Rühr","doi":"10.1080/14689367.2021.1905777","DOIUrl":"https://doi.org/10.1080/14689367.2021.1905777","url":null,"abstract":"We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally Hölder continuous potentials. Corollaries for speed of convergence for approximation by finite subsystems are also given.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1905777","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43553942","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
Multifractal analysis of geodesic flows on surfaces without focal points 无焦点表面上测地线流动的多重分形分析
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-04-02 DOI: 10.1080/14689367.2021.1978394
Kiho Park, Tianyu Wang
{"title":"Multifractal analysis of geodesic flows on surfaces without focal points","authors":"Kiho Park, Tianyu Wang","doi":"10.1080/14689367.2021.1978394","DOIUrl":"https://doi.org/10.1080/14689367.2021.1978394","url":null,"abstract":"In this paper, we study multifractal spectra of the geodesic flows on compact rank 1 surfaces without focal points. We compute the entropy of the level sets for the Lyapunov exponents and establish a lower bound for their Hausdorff dimension in terms of the pressure function and its Legendre transform. In doing so, we employ and generalize results of Burns and Gelfert for non-positively curved surfaces and construct an increasingly nested sequence of basic sets in the complement of the singular set on which the geodesic flow is non-uniformly hyperbolic. Such a sequence of basic sets eventually contains any given basic set.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46604884","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
Integrability and linearizability of a family of three-dimensional quadratic systems 一类三维二次系统的可积性和线性化性
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-03-22 DOI: 10.1080/14689367.2021.1893661
Waleed Aziz, A. Amen, C. Pantazi
{"title":"Integrability and linearizability of a family of three-dimensional quadratic systems","authors":"Waleed Aziz, A. Amen, C. Pantazi","doi":"10.1080/14689367.2021.1893661","DOIUrl":"https://doi.org/10.1080/14689367.2021.1893661","url":null,"abstract":"We consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of – resonance at the origin. Hence, we deal with a nine parametric family of quadratic systems and our purpose is to understand the mechanisms of local integrability. By computing some obstructions, knowing as resonant focus quantities, first we present necessary conditions that guarantee the existence of two independent local first integrals at the origin. For this reason Gröbner basis and some other algorithms are employed. Then we examine the cases where the origin is linearizable. Some techniques like existence of invariant surfaces and Jacobi multipliers, Darboux method, properties of linearizable nodes of two dimensional systems and power series arguments are used to prove the sufficiency of the obtained conditions. For a particular three-parametric subfamily, we provide conditions on the parameters to guarantee the non-existence of a polynomial first integral.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2021.1893661","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47707772","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: 5
Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems 非双曲动力系统不规则集的拓扑熵和Hausdorff维数
IF 0.5 4区 数学
Dynamical Systems-An International Journal Pub Date : 2021-03-20 DOI: 10.1080/14689367.2022.2031890
Pablo G. Barrientos, Yushi Nakano, Artem Raibekas, M. Roldán
{"title":"Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems","authors":"Pablo G. Barrientos, Yushi Nakano, Artem Raibekas, M. Roldán","doi":"10.1080/14689367.2022.2031890","DOIUrl":"https://doi.org/10.1080/14689367.2022.2031890","url":null,"abstract":"We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets of full topological entropy and full Hausdorff dimension. The examples include some partially hyperbolic systems and geometric Lorenz flows. We also pose interesting questions for future research.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47733858","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: 3
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