Yang, Jiao; Chen, Ercai; Zhou, Xiaoyao Variational principle for weighted topological pressure with subadditive potentials. (English) Zbl 07763141 Colloq. Math. 173, No. 2, 251-271 (2023). MSC: 37D35 37B40 37A35 37C45 PDFBibTeX XMLCite \textit{J. Yang} et al., Colloq. Math. 173, No. 2, 251--271 (2023; Zbl 07763141) Full Text: DOI
Yang, Kexiang; Chen, Ercai; Zhou, Xiaoyao On the induced measure-theoretic entropy for random dynamical systems. (English) Zbl 1517.37028 Stoch. Dyn. 22, No. 5, Article ID 2250030, 22 p. (2022). Reviewer: Pavel Ludvík (Olomouc) MSC: 37B40 37B02 37A35 37H15 28D20 54C05 PDFBibTeX XMLCite \textit{K. Yang} et al., Stoch. Dyn. 22, No. 5, Article ID 2250030, 22 p. (2022; Zbl 1517.37028) Full Text: DOI
Ji, Yong; Chen, Ercai; Lin, Zijie High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure. (English) Zbl 1510.37042 Nonlinearity 35, No. 10, 5226-5248 (2022). MSC: 37C40 37A05 37A30 37B40 PDFBibTeX XMLCite \textit{Y. Ji} et al., Nonlinearity 35, No. 10, 5226--5248 (2022; Zbl 1510.37042) Full Text: DOI arXiv
Yang, Rui; Chen, Ercai; Zhou, Xiaoyao Topological complexity: entropy point, metric mean dimension in control systems. (English) Zbl 1498.37008 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 83, 20 p. (2022). MSC: 37A35 37B40 37N35 94A17 PDFBibTeX XMLCite \textit{R. Yang} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 83, 20 p. (2022; Zbl 1498.37008) Full Text: DOI
Yang, Kexiang; Chen, Ercai; Zhou, Xiaoyao Time-restricted sensitivity and entropy for random dynamical systems. (English) Zbl 07501076 J. Dyn. Control Syst. 28, No. 2, 439-452 (2022). MSC: 37H05 37A35 37B40 PDFBibTeX XMLCite \textit{K. Yang} et al., J. Dyn. Control Syst. 28, No. 2, 439--452 (2022; Zbl 07501076) Full Text: DOI
Huang, Ping; Wang, Chenwei; Chen, Ercai Unstable topological entropy in mean \(u\)-metrics for partially hyperbolic systems. (English) Zbl 1493.37034 Dyn. Syst. 36, No. 3, 387-403 (2021). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D30 37B40 37D35 37A35 PDFBibTeX XMLCite \textit{P. Huang} et al., Dyn. Syst. 36, No. 3, 387--403 (2021; Zbl 1493.37034) Full Text: DOI
Wang, Yunping; Chen, Ercai; Lin, Zijie; Wu, Ting Bowen entropy of sets of generic points for fixed-point free flows. (English) Zbl 1451.37023 J. Differ. Equations 269, No. 11, 9846-9867 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B40 37B02 37A35 37A05 37C45 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Differ. Equations 269, No. 11, 9846--9867 (2020; Zbl 1451.37023) Full Text: DOI arXiv
Ji, Yong; Chen, Ercai; Wang, Yunping; Zhao, Cao Bowen entropy for fixed-point free flows. (English) Zbl 1435.37032 Discrete Contin. Dyn. Syst. 39, No. 11, 6231-6239 (2019). MSC: 37B40 37A35 37C45 PDFBibTeX XMLCite \textit{Y. Ji} et al., Discrete Contin. Dyn. Syst. 39, No. 11, 6231--6239 (2019; Zbl 1435.37032) Full Text: DOI
Huang, Ping; Chen, Ercai; Wang, Chenwei Entropy formulae of conditional entropy in mean metrics. (English) Zbl 1394.37008 Discrete Contin. Dyn. Syst. 38, No. 10, 5129-5144 (2018). MSC: 37A35 37B05 37B20 37A15 28D20 PDFBibTeX XMLCite \textit{P. Huang} et al., Discrete Contin. Dyn. Syst. 38, No. 10, 5129--5144 (2018; Zbl 1394.37008) Full Text: DOI
Ma, Xianfeng; Yang, Junqi; Chen, Ercai Relative tail entropy for random bundle transformations. (English) Zbl 1433.37036 Stoch. Dyn. 18, No. 1, Article ID 1850005, 23 p. (2018). Reviewer: Yuki Yayama (Chiilán) MSC: 37D35 37A35 PDFBibTeX XMLCite \textit{X. Ma} et al., Stoch. Dyn. 18, No. 1, Article ID 1850005, 23 p. (2018; Zbl 1433.37036) Full Text: DOI arXiv
Zhou, Xiaomin; Chen, Ercai; Zhou, Xiaoyao Relative entropy and mean Li-Yorke chaos. (English) Zbl 1389.37004 Adv. Math., Beijing 46, No. 3, 407-414 (2017). MSC: 37A35 37D45 PDFBibTeX XMLCite \textit{X. Zhou} et al., Adv. Math., Beijing 46, No. 3, 407--414 (2017; Zbl 1389.37004) Full Text: DOI
Zhou, Xiaoyao; Chen, Ercai The dimensions of the divergence points of self-similar measures with weak separation condition. (English) Zbl 1378.37084 Monatsh. Math. 183, No. 2, 379-391 (2017). MSC: 37F35 37A35 28A80 28A78 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{E. Chen}, Monatsh. Math. 183, No. 2, 379--391 (2017; Zbl 1378.37084) Full Text: DOI
Xing, Zhitao; Chen, Ercai Induced topological pressure and the zero-dimensional extension for BS dimensions. (English) Zbl 1364.37035 J. Math. Phys. 58, No. 4, 042701, 9 p. (2017). MSC: 37B10 37A35 82B30 37D35 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{E. Chen}, J. Math. Phys. 58, No. 4, 042701, 9 p. (2017; Zbl 1364.37035) Full Text: DOI
Yin, Zheng; Chen, Ercai; Zhou, Xiaoyao Multifractal analysis of ergodic averages in some non-uniformly hyperbolic systems. (English) Zbl 1370.37068 Ergodic Theory Dyn. Syst. 36, No. 7, 2334-2350 (2016). MSC: 37D25 37D35 37A25 37A30 PDFBibTeX XMLCite \textit{Z. Yin} et al., Ergodic Theory Dyn. Syst. 36, No. 7, 2334--2350 (2016; Zbl 1370.37068) Full Text: DOI arXiv
Yin, Zheng; Chen, Ercai Large-deviation properties in some non-uniformly hyperbolic systems via Pesin theory. (English) Zbl 1367.37034 Dyn. Syst. 31, No. 4, 483-495 (2016). MSC: 37D25 37C40 60F10 PDFBibTeX XMLCite \textit{Z. Yin} and \textit{E. Chen}, Dyn. Syst. 31, No. 4, 483--495 (2016; Zbl 1367.37034) Full Text: DOI arXiv
Yin, Zheng; Chen, Ercai Conditional variational principle for the irregular set in some nonuniformly hyperbolic systems. (English) Zbl 1418.37054 Discrete Contin. Dyn. Syst. 36, No. 11, 6581-6597 (2016). MSC: 37D25 37B40 37A30 37D35 37C45 PDFBibTeX XMLCite \textit{Z. Yin} and \textit{E. Chen}, Discrete Contin. Dyn. Syst. 36, No. 11, 6581--6597 (2016; Zbl 1418.37054) Full Text: DOI
Ding, Dandan; Zhang, Zhiming; Ma, Xianfeng; Chen, Ercai Variational principle for topological tail pressures with sub-additive upper semi-continuous potentials. (English) Zbl 1365.37035 Dyn. Syst. 31, No. 2, 198-220 (2016). MSC: 37D35 37A35 37B40 PDFBibTeX XMLCite \textit{D. Ding} et al., Dyn. Syst. 31, No. 2, 198--220 (2016; Zbl 1365.37035) Full Text: DOI
Xing, Zhitao; Chen, Ercai Induced topological pressure for topological dynamical systems. (English) Zbl 1339.37026 J. Math. Phys. 56, No. 2, 022707, 10 p. (2015). Reviewer: Paolo Giulietti (Porto Alegre) MSC: 37D35 28D20 37C40 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{E. Chen}, J. Math. Phys. 56, No. 2, 022707, 10 p. (2015; Zbl 1339.37026) Full Text: DOI arXiv
Zhou, Xiaoyao; Zhang, Yaqing; Chen, Ercai Topological conditional entropy for amenable group actions. (English) Zbl 1346.37038 Proc. Am. Math. Soc. 143, No. 1, 141-150 (2015). MSC: 37D35 37A35 37C85 37B05 37B40 PDFBibTeX XMLCite \textit{X. Zhou} et al., Proc. Am. Math. Soc. 143, No. 1, 141--150 (2015; Zbl 1346.37038) Full Text: DOI
Yin, Zheng; Chen, Ercai; Zhou, Xiaoyao Generic Points in Some Nonuniformly Hyperbolic Systems Via Pesin Theory. arXiv:1502.02459 Preprint, arXiv:1502.02459 [math.DS] (2015). MSC: 37D25 37D35 37C40 BibTeX Cite \textit{Z. Yin} et al., ``Generic Points in Some Nonuniformly Hyperbolic Systems Via Pesin Theory'', Preprint, arXiv:1502.02459 [math.DS] (2015) Full Text: arXiv OA License
Ma, Xianfeng; Chen, Ercai Topological pressures for -stable and stable sets. (English) Zbl 1302.37006 Pac. J. Math. 263, No. 1, 117-142 (2013). Reviewer: Dominik Kwietniak (Krakow) MSC: 37A35 37B40 37B20 PDFBibTeX XMLCite \textit{X. Ma} and \textit{E. Chen}, Pac. J. Math. 263, No. 1, 117--142 (2013; Zbl 1302.37006) Full Text: DOI arXiv
Ma, Xianfeng; Chen, Ercai A local variational principle for random bundle transformations. (English) Zbl 1351.37212 Stoch. Dyn. 13, No. 3, Article ID 1250023, 21 p. (2013). MSC: 37H05 37D35 37A35 37B40 PDFBibTeX XMLCite \textit{X. Ma} and \textit{E. Chen}, Stoch. Dyn. 13, No. 3, Article ID 1250023, 21 p. (2013; Zbl 1351.37212) Full Text: DOI arXiv
Wang, ChenWei; Chen, ErCai Projection pressure and Bowen’s equation for a class of self-similar fractals with overlap structure. (English) Zbl 1257.37014 Sci. China, Math. 55, No. 7, 1387-1394 (2012). MSC: 37A45 37C45 PDFBibTeX XMLCite \textit{C. Wang} and \textit{E. Chen}, Sci. China, Math. 55, No. 7, 1387--1394 (2012; Zbl 1257.37014) Full Text: DOI arXiv
Zhou, Xiaoyao; Chen, Ercai; Cheng, Wen-Chiao Packing entropy and divergence points. (English) Zbl 1278.37008 Dyn. Syst. 27, No. 3, 387-402 (2012). Reviewer: Katarina Janková (Bratislava) MSC: 37A35 37D35 28A78 PDFBibTeX XMLCite \textit{X. Zhou} et al., Dyn. Syst. 27, No. 3, 387--402 (2012; Zbl 1278.37008) Full Text: DOI
Li, Yuan; Chen, Ercai; Cheng, Wen-Chiao Variational inequality for conditional pressure on a Borel subset. (English) Zbl 1258.37009 Pac. J. Math. 256, No. 1, 151-164 (2012). Reviewer: Yun Zhao (Suzhou) MSC: 37A35 37B40 37D35 PDFBibTeX XMLCite \textit{Y. Li} et al., Pac. J. Math. 256, No. 1, 151--164 (2012; Zbl 1258.37009) Full Text: DOI Link
Zhou, Xiaoyao; Chen, Ercai Topological pressure of historic set for \(\mathbb{Z}^d\)-actions. (English) Zbl 1238.37003 J. Math. Anal. Appl. 389, No. 1, 394-402 (2012). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37B05 37C40 37D35 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{E. Chen}, J. Math. Anal. Appl. 389, No. 1, 394--402 (2012; Zbl 1238.37003) Full Text: DOI
Zhou, Xiaoyao; Chen, Ercai The variational principle of topological pressure for actions of sofic groupoids. arXiv:1212.6604 Preprint, arXiv:1212.6604 [math.DS] (2012). MSC: 37D35 37A35 BibTeX Cite \textit{X. Zhou} and \textit{E. Chen}, ``The variational principle of topological pressure for actions of sofic groupoids'', Preprint, arXiv:1212.6604 [math.DS] (2012) Full Text: arXiv OA License
Ma, Xianfeng; Chen, Ercai Pre-image variational principle for subadditive sequence functions. (English) Zbl 1212.37016 Commun. Math. Res. 25, No. 3, 231-240 (2009). MSC: 37D35 37A35 PDFBibTeX XMLCite \textit{X. Ma} and \textit{E. Chen}, Commun. Math. Res. 25, No. 3, 231--240 (2009; Zbl 1212.37016)
Ma, Xianfeng; Chen, Ercai Variational principle for subadditive sequence of potentials in bundle random dynamical systems. (English) Zbl 1185.37066 Stoch. Dyn. 9, No. 2, 205-215 (2009). Reviewer: Tomas Persson (Warszawa) MSC: 37D35 37A35 37H99 PDFBibTeX XMLCite \textit{X. Ma} and \textit{E. Chen}, Stoch. Dyn. 9, No. 2, 205--215 (2009; Zbl 1185.37066) Full Text: DOI arXiv
Ma, Xianfeng; Chen, Ercai Pre-image variational principle for bundle random dynamical systems. (English) Zbl 1154.37333 Discrete Contin. Dyn. Syst. 23, No. 3, 957-972 (2009). MSC: 37D35 37A35 37H99 PDFBibTeX XMLCite \textit{X. Ma} and \textit{E. Chen}, Discrete Contin. Dyn. Syst. 23, No. 3, 957--972 (2009; Zbl 1154.37333) Full Text: DOI arXiv
Yan, Zhenzhen; Chen, Ercai Multifractal analysis of local entropies for recurrence time. (English) Zbl 1133.37307 Chaos Solitons Fractals 33, No. 5, 1584-1591 (2007). MSC: 37C45 37A35 28A80 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{E. Chen}, Chaos Solitons Fractals 33, No. 5, 1584--1591 (2007; Zbl 1133.37307) Full Text: DOI
Chen, Ercai; Xiong, Jincheng Dimension and measure theoretic entropy of a subshift in symbolic space. (English) Zbl 0896.58025 Chin. Sci. Bull. 42, No. 14, 1193-1196 (1997). Reviewer: William J.Satzer jun.(St.Paul) MSC: 37E99 28D20 37A99 PDFBibTeX XMLCite \textit{E. Chen} and \textit{J. Xiong}, Chin. Sci. Bull. 42, No. 14, 1193--1196 (1997; Zbl 0896.58025) Full Text: DOI