Sun, Peng Unique ergodicity for zero-entropy dynamical systems with the approximate product property. (English) Zbl 07346824 Acta Math. Sin., Engl. Ser. 37, No. 2, 362-376 (2021). MSC: 37B05 37B40 37C40 37C50 37E05 PDF BibTeX XML Cite \textit{P. Sun}, Acta Math. Sin., Engl. Ser. 37, No. 2, 362--376 (2021; Zbl 07346824) Full Text: DOI
Barbosa Gomes, José; Dias Carneiro, Mário Jorge Polynomial entropy for interval maps and lap number. (English) Zbl 07345484 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 21, 16 p. (2021). MSC: 37B40 37E05 PDF BibTeX XML Cite \textit{J. Barbosa Gomes} and \textit{M. J. Dias Carneiro}, Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 21, 16 p. (2021; Zbl 07345484) Full Text: DOI
Brandenbursky, Michael; Shelukhin, Egor On the entropy norm on \(\text{Ham}(S^2)\). (English) Zbl 07341615 Ann. Math. Qué. 45, No. 1, 231-237 (2021). MSC: 57S05 37B40 58D05 PDF BibTeX XML Cite \textit{M. Brandenbursky} and \textit{E. Shelukhin}, Ann. Math. Qué. 45, No. 1, 231--237 (2021; Zbl 07341615) Full Text: DOI
Ju, Yujun; Yang, Qigui Pesin topological entropy of nonautonomous dynamical systems. (English) Zbl 07337417 J. Math. Anal. Appl. 500, No. 2, Article ID 125125, 20 p. (2021). MSC: 37B PDF BibTeX XML Cite \textit{Y. Ju} and \textit{Q. Yang}, J. Math. Anal. Appl. 500, No. 2, Article ID 125125, 20 p. (2021; Zbl 07337417) Full Text: DOI
Fan, Yu-Wei; Fu, Lie; Ouchi, Genki Categorical polynomial entropy. (English) Zbl 07337358 Adv. Math. 383, Article ID 107655, 50 p. (2021). MSC: 37B PDF BibTeX XML Cite \textit{Y.-W. Fan} et al., Adv. Math. 383, Article ID 107655, 50 p. (2021; Zbl 07337358) Full Text: DOI
Huang, Wen; Lian, Zhengxing; Shao, Song; Ye, Xiangdong Minimal systems with finitely many ergodic measures. (English) Zbl 07336919 J. Funct. Anal. 280, No. 12, Article ID 109000, 42 p. (2021). MSC: 37A25 37B05 37A15 37B40 PDF BibTeX XML Cite \textit{W. Huang} et al., J. Funct. Anal. 280, No. 12, Article ID 109000, 42 p. (2021; Zbl 07336919) Full Text: DOI
Abram, William C.; Lagarias, Jeffrey C.; Slonim, Daniel J. Decimation and interleaving operations in one-sided symbolic dynamics. (English) Zbl 07336897 Adv. Appl. Math. 126, Article ID 102160, 59 p. (2021). MSC: 37B10 11B25 18M65 37B40 PDF BibTeX XML Cite \textit{W. C. Abram} et al., Adv. Appl. Math. 126, Article ID 102160, 59 p. (2021; Zbl 07336897) Full Text: DOI
Kuang, Rui; Yang, Yini Supremum topological sequence entropy of circle maps. (English) Zbl 07335371 Topology Appl. 295, Article ID 107670, 9 p. (2021). MSC: 37E10 37B40 PDF BibTeX XML Cite \textit{R. Kuang} and \textit{Y. Yang}, Topology Appl. 295, Article ID 107670, 9 p. (2021; Zbl 07335371) Full Text: DOI
Zhou, Tong; Qin, Wen-Xin Pseudo solutions, rotation sets, and shadowing rotations for monotone recurrence relations. (English) Zbl 07333898 Math. Z. 297, No. 3-4, 1673-1692 (2021). MSC: 37B40 37C65 37E40 37E45 37L60 54H20 54C70 PDF BibTeX XML Cite \textit{T. Zhou} and \textit{W.-X. Qin}, Math. Z. 297, No. 3--4, 1673--1692 (2021; Zbl 07333898) Full Text: DOI
Bebiano, N.; da Providência, J. Maximum entropy principle and Landau free energy inequality. (English) Zbl 07333209 Linear Multilinear Algebra 69, No. 6, 1020-1034 (2021). MSC: 47A12 62F30 54C10 PDF BibTeX XML Cite \textit{N. Bebiano} and \textit{J. da Providência}, Linear Multilinear Algebra 69, No. 6, 1020--1034 (2021; Zbl 07333209) Full Text: DOI
Alpeev, Andrei; Meyerovitch, Tom; Ryu, Sieye Predictability, topological entropy, and invariant random orders. (English) Zbl 07332512 Proc. Am. Math. Soc. 149, No. 4, 1443-1457 (2021). MSC: 37B40 37A35 PDF BibTeX XML Cite \textit{A. Alpeev} et al., Proc. Am. Math. Soc. 149, No. 4, 1443--1457 (2021; Zbl 07332512) Full Text: DOI
Elhadj, Zeraoulia Estimating the interval length for vertical monotonicity of topological entropy of the Lozi mappings. (English) Zbl 07331777 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150061, 3 p. (2021). MSC: 37A 37E PDF BibTeX XML Cite \textit{Z. Elhadj}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 4, Article ID 2150061, 3 p. (2021; Zbl 07331777) Full Text: DOI
Fuhrmann, G.; Glasner, E.; Jäger, T.; Oertel, C. Irregular model sets and tame dynamics. (English) Zbl 07331134 Trans. Am. Math. Soc. 374, No. 5, 3703-3734 (2021). MSC: 37B10 37B40 PDF BibTeX XML Cite \textit{G. Fuhrmann} et al., Trans. Am. Math. Soc. 374, No. 5, 3703--3734 (2021; Zbl 07331134) Full Text: DOI
Ban, Jung-Chao; Hu, Wen-Guei; Lai, Guan-Yu On the entropy of multidimensional multiplicative integer subshifts. (English) Zbl 07326625 J. Stat. Phys. 182, No. 2, Paper No. 31, 21 p. (2021). MSC: 37B10 37B51 37B40 37A30 PDF BibTeX XML Cite \textit{J.-C. Ban} et al., J. Stat. Phys. 182, No. 2, Paper No. 31, 21 p. (2021; Zbl 07326625) Full Text: DOI
Zhu, Li; Ma, Dongkui The upper capacity topological entropy of free semigroup actions for certain non-compact sets. (English) Zbl 07325983 J. Stat. Phys. 182, No. 1, Paper No. 19, 22 p. (2021). MSC: 37B02 37B40 37B20 PDF BibTeX XML Cite \textit{L. Zhu} and \textit{D. Ma}, J. Stat. Phys. 182, No. 1, Paper No. 19, 22 p. (2021; Zbl 07325983) Full Text: DOI
Carrasco, Pablo D.; Lizana, Cristina; Pujals, Enrique; Vásquez, Carlos H. Invariance of entropy for maps isotopic to Anosov. (English) Zbl 07324163 Nonlinearity 34, No. 3, 1612-1632 (2021). MSC: 37D30 37B40 37C20 PDF BibTeX XML Cite \textit{P. D. Carrasco} et al., Nonlinearity 34, No. 3, 1612--1632 (2021; Zbl 07324163) Full Text: DOI
Fuhrmann, Gabriel; Gröger, Maik; Passeggi, Alejandro The bifurcation set as a topological invariant for one-dimensional dynamics. (English) Zbl 07324155 Nonlinearity 34, No. 3, 1366-1388 (2021). MSC: 37E05 37E10 37G10 37G15 37B40 PDF BibTeX XML Cite \textit{G. Fuhrmann} et al., Nonlinearity 34, No. 3, 1366--1388 (2021; Zbl 07324155) Full Text: DOI
Huang, Wen; Li, Jian; Xu, Leiye; Ye, Xiangdong The existence of semi-horseshoes for partially hyperbolic diffeomorphisms. (English) Zbl 07319245 Adv. Math. 381, Article ID 107616, 24 p. (2021). MSC: 37D30 37B40 37C15 PDF BibTeX XML Cite \textit{W. Huang} et al., Adv. Math. 381, Article ID 107616, 24 p. (2021; Zbl 07319245) Full Text: DOI
Rodrigues, Ana; Roth, Samuel; Roth, Zuzana Fair measures for countable-to-one maps. (English) Zbl 07318769 Stoch. Dyn. 21, No. 2, Article ID 2150008, 29 p. (2021). MSC: 37E05 37H12 37B40 PDF BibTeX XML Cite \textit{A. Rodrigues} et al., Stoch. Dyn. 21, No. 2, Article ID 2150008, 29 p. (2021; Zbl 07318769) Full Text: DOI
Yazdi, Mehdi Lower bound for the Perron-Frobenius degrees of Perron numbers. (English) Zbl 07317329 Ergodic Theory Dyn. Syst. 41, No. 4, 1264-1280 (2021). MSC: 37B10 37B40 37E05 15A42 37A44 PDF BibTeX XML Cite \textit{M. Yazdi}, Ergodic Theory Dyn. Syst. 41, No. 4, 1264--1280 (2021; Zbl 07317329) Full Text: DOI
He, Baolin Entropy of general diffeomorphisms on line. (English) Zbl 07317323 Ergodic Theory Dyn. Syst. 41, No. 4, 1139-1155 (2021). MSC: 37B40 37E05 37C45 37C05 PDF BibTeX XML Cite \textit{B. He}, Ergodic Theory Dyn. Syst. 41, No. 4, 1139--1155 (2021; Zbl 07317323) Full Text: DOI
Javornik, Pavel; Winter, Joseph; Wolf, Christian A horseshoe with a discontinuous entropy spectrum. (English) Zbl 07316429 J. Math. Anal. Appl. 496, No. 2, Article ID 124811, 14 p. (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37A35 37B40 37C15 37C05 37D25 37E35 28D20 PDF BibTeX XML Cite \textit{P. Javornik} et al., J. Math. Anal. Appl. 496, No. 2, Article ID 124811, 14 p. (2021; Zbl 07316429) Full Text: DOI
Ayala, Víctor; Da Silva, Adriano; Jouan, Philippe Jordan decomposition and the recurrent set of flows of automorphisms. (English) Zbl 07314921 Discrete Contin. Dyn. Syst. 41, No. 4, 1543-1559 (2021). MSC: 37B20 37B40 37C10 22E05 22E30 22E70 PDF BibTeX XML Cite \textit{V. Ayala} et al., Discrete Contin. Dyn. Syst. 41, No. 4, 1543--1559 (2021; Zbl 07314921) Full Text: DOI
Foryś-Krawiec, Magdalena; Kupka, Jiří; Oprocha, Piotr; Tian, Xueting On entropy of \(\Phi\)-irregular and \(\Phi\)-level sets in maps with the shadowing property. (English) Zbl 07314909 Discrete Contin. Dyn. Syst. 41, No. 3, 1271-1296 (2021). MSC: 37B65 37B20 37B40 37A30 PDF BibTeX XML Cite \textit{M. Foryś-Krawiec} et al., Discrete Contin. Dyn. Syst. 41, No. 3, 1271--1296 (2021; Zbl 07314909) Full Text: DOI
Xiao, Yuanfen Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for \(\beta\)-transformation. (English) Zbl 07314354 Discrete Contin. Dyn. Syst. 41, No. 2, 525-536 (2021). MSC: 37B40 37B02 37C45 PDF BibTeX XML Cite \textit{Y. Xiao}, Discrete Contin. Dyn. Syst. 41, No. 2, 525--536 (2021; Zbl 07314354) Full Text: DOI
Ricks, Russell The unique measure of maximal entropy for a compact rank one locally CAT(0) space. (English) Zbl 07314353 Discrete Contin. Dyn. Syst. 41, No. 2, 507-523 (2021). MSC: 37D40 37B40 37C40 28D20 PDF BibTeX XML Cite \textit{R. Ricks}, Discrete Contin. Dyn. Syst. 41, No. 2, 507--523 (2021; Zbl 07314353) Full Text: DOI
Demers, Mark F. Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps. (English) Zbl 07314163 Discrete Contin. Dyn. Syst. 41, No. 1, 217-256 (2021). MSC: 37D35 37D20 37A35 37B40 37C30 PDF BibTeX XML Cite \textit{M. F. Demers}, Discrete Contin. Dyn. Syst. 41, No. 1, 217--256 (2021; Zbl 07314163) Full Text: DOI
Wang, Tao Some notes on topological and measure-theoretic entropy. (English) Zbl 07314138 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 13, 14 p. (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37A35 37B40 37D35 37C45 28D20 PDF BibTeX XML Cite \textit{T. Wang}, Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 13, 14 p. (2021; Zbl 07314138) Full Text: DOI
Morales, C. A.; San Martin, B.; Sirvent, V. F. Entropy bounds through continuum theory. (English) Zbl 07308528 Proc. Am. Math. Soc. 149, No. 3, 1061-1075 (2021). Reviewer: George Stoica (Saint John) MSC: 37A35 28D20 37B02 PDF BibTeX XML Cite \textit{C. A. Morales} et al., Proc. Am. Math. Soc. 149, No. 3, 1061--1075 (2021; Zbl 07308528) Full Text: DOI
Achigar, Mauricio Expansive systems on lattices. (English) Zbl 07305096 Topology Appl. 290, Article ID 107577, 11 p. (2021). MSC: 37B02 37B05 54C70 18F60 57S05 PDF BibTeX XML Cite \textit{M. Achigar}, Topology Appl. 290, Article ID 107577, 11 p. (2021; Zbl 07305096) Full Text: DOI
Kesseböhmer, M.; Rademacher, J. D. M.; Ulbrich, D. Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata. (English) Zbl 07301404 Ergodic Theory Dyn. Syst. 41, No. 5, 1397-1430 (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37B15 37B20 37B40 PDF BibTeX XML Cite \textit{M. Kesseböhmer} et al., Ergodic Theory Dyn. Syst. 41, No. 5, 1397--1430 (2021; Zbl 07301404) Full Text: DOI
Shi, Ruxi Construction of some Chowla sequences. (English) Zbl 07300281 Monatsh. Math. 194, No. 1, 193-224 (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37A44 11J71 11N37 37B10 37B40 PDF BibTeX XML Cite \textit{R. Shi}, Monatsh. Math. 194, No. 1, 193--224 (2021; Zbl 07300281) Full Text: DOI
Cantat, Serge; Paris-Romaskevich, Olga Automorphisms of compact Kähler manifolds with slow dynamics. (English) Zbl 07291901 Trans. Am. Math. Soc. 374, No. 2, 1351-1389 (2021). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 37E30 37B40 32J27 32Q15 14J50 PDF BibTeX XML Cite \textit{S. Cantat} and \textit{O. Paris-Romaskevich}, Trans. Am. Math. Soc. 374, No. 2, 1351--1389 (2021; Zbl 07291901) Full Text: DOI
Wang, Juan; Cao, Yongluo; Zou, Rui The approximation of uniform hyperbolicity for \(C^1\) diffeomorphisms with hyperbolic measures. (English) Zbl 07291342 J. Differ. Equations 275, 359-390 (2021). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37D25 37B40 37D05 37D30 37C05 28D20 PDF BibTeX XML Cite \textit{J. Wang} et al., J. Differ. Equations 275, 359--390 (2021; Zbl 07291342) Full Text: DOI
Dikranjan, Dikran; Giordano Bruno, Anna; Russo, Francesco G. Finiteness of topological entropy for locally compact abelian groups. (English) Zbl 07286315 Glasg. Math. J. 63, No. 1, 81-105 (2021). MSC: 22A05 37B40 54C70 PDF BibTeX XML Cite \textit{D. Dikranjan} et al., Glasg. Math. J. 63, No. 1, 81--105 (2021; Zbl 07286315) Full Text: DOI
Starke, Florian Exploring the topological entropy of formal languages. (English) Zbl 07285607 Theor. Comput. Sci. 849, 210-226 (2021). MSC: 68Q PDF BibTeX XML Cite \textit{F. Starke}, Theor. Comput. Sci. 849, 210--226 (2021; Zbl 07285607) Full Text: DOI
Huczek, Dawid Zero-dimensional extensions of amenable group actions. (English) Zbl 07282485 Stud. Math. 256, No. 2, 121-145 (2021). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 37A35 37B40 22F05 PDF BibTeX XML Cite \textit{D. Huczek}, Stud. Math. 256, No. 2, 121--145 (2021; Zbl 07282485) Full Text: DOI
Hawkins, Jane Ergodic dynamics. From basic theory to applications. (English) Zbl 07281930 Graduate Texts in Mathematics 289. Cham: Springer (ISBN 978-3-030-59241-7/hbk; 978-3-030-59242-4/ebook). xiv, 336 p. (2021). MSC: 37-01 37Axx 37Bxx 37Fxx 28Dxx PDF BibTeX XML Cite \textit{J. Hawkins}, Ergodic dynamics. From basic theory to applications. Cham: Springer (2021; Zbl 07281930) Full Text: DOI
Lind, Douglas; Marcus, Brian An introduction to symbolic dynamics and coding. 2nd updated edition. (English) Zbl 07279890 Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-108-82028-8/pbk; 978-1-108-89972-7/ebook). xx, 550 p. (2021). MSC: 37B10 37-01 37B40 15B48 94A24 94B60 PDF BibTeX XML Cite \textit{D. Lind} and \textit{B. Marcus}, An introduction to symbolic dynamics and coding. 2nd updated edition. Cambridge: Cambridge University Press (2021; Zbl 07279890) Full Text: DOI
Huang, Wen; Li, Jian; Thouvenot, Jean-Paul; Xu, Leiye; Ye, Xiangdong Bounded complexity, mean equicontinuity and discrete spectrum. (English) Zbl 1456.37015 Ergodic Theory Dyn. Syst. 41, No. 2, 494-533 (2021). Reviewer: Mihai Turinici (Iaşi) MSC: 37B05 37B02 37A35 PDF BibTeX XML Cite \textit{W. Huang} et al., Ergodic Theory Dyn. Syst. 41, No. 2, 494--533 (2021; Zbl 1456.37015) Full Text: DOI
Benini, Anna Miriam; Fornæss, John Erik; Peters, Han Entropy of transcendental entire functions. (English) Zbl 07277626 Ergodic Theory Dyn. Syst. 41, No. 2, 338-348 (2021). Reviewer: Ewa Ciechanowicz (Szczecin) MSC: 37F10 30D20 30D35 37B40 PDF BibTeX XML Cite \textit{A. M. Benini} et al., Ergodic Theory Dyn. Syst. 41, No. 2, 338--348 (2021; Zbl 07277626) Full Text: DOI
Alvin, Lori; Kelly, James P. Topological entropy of Markov set-valued functions. (English) Zbl 1455.37014 Ergodic Theory Dyn. Syst. 41, No. 2, 321-337 (2021). Reviewer: Hasan Akin (Gaziantep) MSC: 37B40 37B10 54C60 PDF BibTeX XML Cite \textit{L. Alvin} and \textit{J. P. Kelly}, Ergodic Theory Dyn. Syst. 41, No. 2, 321--337 (2021; Zbl 1455.37014) Full Text: DOI
Wang, Yunping Weighted mean topological dimension. (English) Zbl 1454.37026 J. Math. Anal. Appl. 493, No. 1, Article ID 124524, 13 p. (2021). Reviewer: Mihai Turinici (Iaşi) MSC: 37C45 37B40 54F45 PDF BibTeX XML Cite \textit{Y. Wang}, J. Math. Anal. Appl. 493, No. 1, Article ID 124524, 13 p. (2021; Zbl 1454.37026) Full Text: DOI
Clark, Trevor; Trejo, Sofía The boundary of chaos for interval mappings. (English) Zbl 07346493 Proc. Lond. Math. Soc. (3) 121, No. 6, 1427-1467 (2020). MSC: 37E05 37B40 37E20 PDF BibTeX XML Cite \textit{T. Clark} and \textit{S. Trejo}, Proc. Lond. Math. Soc. (3) 121, No. 6, 1427--1467 (2020; Zbl 07346493) Full Text: DOI
Carvalho, Maria; Pérez, Sebastián A. Weak Gibbs measures and equilibrium states. (English) Zbl 07345261 Dyn. Syst. 35, No. 3, 515-521 (2020). MSC: 28D05 28D20 37D35 PDF BibTeX XML Cite \textit{M. Carvalho} and \textit{S. A. Pérez}, Dyn. Syst. 35, No. 3, 515--521 (2020; Zbl 07345261) Full Text: DOI
Just, Winfried; Xin, Ying Limsup is needed in the definitions of topological entropy via spanning or separation numbers. (English) Zbl 07345259 Dyn. Syst. 35, No. 3, 430-489 (2020). MSC: 37B40 37C35 PDF BibTeX XML Cite \textit{W. Just} and \textit{Y. Xin}, Dyn. Syst. 35, No. 3, 430--489 (2020; Zbl 07345259) Full Text: DOI
Filom, Khashayar; Pilgrim, Kevin M. On the non-monotonicity of entropy for a class of real quadratic rational maps. (English) Zbl 07342489 J. Mod. Dyn. 16, 225-254 (2020). MSC: 37B40 37E05 37F45 37F10 37F30 PDF BibTeX XML Cite \textit{K. Filom} and \textit{K. M. Pilgrim}, J. Mod. Dyn. 16, 225--254 (2020; Zbl 07342489) Full Text: DOI
Xu, Lan Another proof of variational principle for sub-additive potentials. (Chinese. English summary) Zbl 07338357 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 4, 977-982 (2020). MSC: 37D35 37B40 PDF BibTeX XML Cite \textit{L. Xu}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 4, 977--982 (2020; Zbl 07338357)
Andres, Jan Topological entropy for impulsive differential equations. (English) Zbl 07334622 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 68, 15 p. (2020). MSC: 34B37 34C28 37B40 34C40 37D45 PDF BibTeX XML Cite \textit{J. Andres}, Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 68, 15 p. (2020; Zbl 07334622) Full Text: DOI
Li, Qi Hui; Wang, Rui Some results on inner quasidiagonal \(C\)*-algebras. (English) Zbl 07334455 Acta Math. Sin., Engl. Ser. 36, No. 10, 1094-1106 (2020). MSC: 46L05 46L35 PDF BibTeX XML Cite \textit{Q. H. Li} and \textit{R. Wang}, Acta Math. Sin., Engl. Ser. 36, No. 10, 1094--1106 (2020; Zbl 07334455) Full Text: DOI
Ham, Ji-Young; Lee, Joongul Remarks on the Liechti-Strenner’s examples having small dilatations. (English) Zbl 07334450 Commun. Korean Math. Soc. 35, No. 4, 1299-1307 (2020). MSC: 37E30 37B40 57M60 PDF BibTeX XML Cite \textit{J.-Y. Ham} and \textit{J. Lee}, Commun. Korean Math. Soc. 35, No. 4, 1299--1307 (2020; Zbl 07334450) Full Text: DOI
Xu, Leiye; Zheng, Junren Weak horseshoe with bounded-gap-hitting times. (English) Zbl 07329675 Commun. Math. Stat. 8, No. 4, 463-472 (2020). MSC: 37H10 37B25 PDF BibTeX XML Cite \textit{L. Xu} and \textit{J. Zheng}, Commun. Math. Stat. 8, No. 4, 463--472 (2020; Zbl 07329675) Full Text: DOI
Ban, Jung-Chao; Chang, Chih-Hung Characterization for entropy of shifts of finite type on Cayley trees. (English) Zbl 07329329 J. Stat. Mech. Theory Exp. 2020, No. 7, Article ID 073412, 19 p. (2020). MSC: 37B51 37B10 37B40 94A17 PDF BibTeX XML Cite \textit{J.-C. Ban} and \textit{C.-H. Chang}, J. Stat. Mech. Theory Exp. 2020, No. 7, Article ID 073412, 19 p. (2020; Zbl 07329329) Full Text: DOI
Oguiso, Keiji; Yu, Xun Minimum positive entropy of complex Enriques surface automorphisms. (English) Zbl 07322631 Duke Math. J. 169, No. 18, 3565-3606 (2020). MSC: 14J28 14J50 11R06 37B40 PDF BibTeX XML Cite \textit{K. Oguiso} and \textit{X. Yu}, Duke Math. J. 169, No. 18, 3565--3606 (2020; Zbl 07322631) Full Text: DOI Euclid
Damasceno, J. G.; Miranda, J. G.; Araújo, L. G. Perona A note on Tonelli Lagrangian systems on \(\mathbb{T}^2\) with positive topological entropy on a high energy level. (English) Zbl 07319347 Nelineĭn. Din. 16, No. 4, 625-635 (2020). MSC: 37J51 37J39 37B40 PDF BibTeX XML Cite \textit{J. G. Damasceno} et al., Nelineĭn. Din. 16, No. 4, 625--635 (2020; Zbl 07319347) Full Text: DOI MNR
Gerber, Marlies; Kunde, Philipp A smooth zero-entropy diffeomorphism whose product with itself is loosely Bernoulli. (English) Zbl 07317797 J. Anal. Math. 141, No. 2, 521-583 (2020). MSC: 37C05 37A25 37B40 PDF BibTeX XML Cite \textit{M. Gerber} and \textit{P. Kunde}, J. Anal. Math. 141, No. 2, 521--583 (2020; Zbl 07317797) Full Text: DOI
Yang, Yan-juan; Wang, Lin; Wang, Wei Some results on entropy dimension for non-autonomous systems. (English) Zbl 07304277 Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 281-292 (2020). MSC: 37D30 37B40 37C50 PDF BibTeX XML Cite \textit{Y.-j. Yang} et al., Appl. Math., Ser. B (Engl. Ed.) 35, No. 3, 281--292 (2020; Zbl 07304277) Full Text: DOI
Berger, Guillaume O.; Jungers, Raphaël M. Worst-case topological entropy and minimal data rate for state observation of switched linear systems. (English) Zbl 07300845 Proceedings of the 23rd ACM international conference on hybrid systems: computation and control, HSCC 2020, Sydney, Australia and virtual, April 21–24, 2020. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-7018-9). Article No. 4, 11 p. (2020). MSC: 68Q45 68Q60 93C30 PDF BibTeX XML Cite \textit{G. O. Berger} and \textit{R. M. Jungers}, in: Proceedings of the 23rd ACM international conference on hybrid systems: computation and control, HSCC 2020, Sydney, Australia and virtual, April 21--24, 2020. New York, NY: Association for Computing Machinery (ACM). Article No. 4, 11 p. (2020; Zbl 07300845) Full Text: DOI
Bonomo, Wescley; Varandas, Paulo Continuous flows generate few homeomorphisms. (English) Zbl 07298491 Proc. Edinb. Math. Soc., II. Ser. 63, No. 4, 971-983 (2020). MSC: 37E30 37C10 37B40 54C25 PDF BibTeX XML Cite \textit{W. Bonomo} and \textit{P. Varandas}, Proc. Edinb. Math. Soc., II. Ser. 63, No. 4, 971--983 (2020; Zbl 07298491) Full Text: DOI
He, Shengnan; Sun, Xiaoli; Xiao, Mingqing On transitive and chaotic dynamics of linear semiflows. (English) Zbl 07298352 Topology Appl. 286, Article ID 107417, 15 p. (2020). MSC: 37B02 37B05 37B40 37C10 PDF BibTeX XML Cite \textit{S. He} et al., Topology Appl. 286, Article ID 107417, 15 p. (2020; Zbl 07298352) Full Text: DOI
Li, Ming; Shi, Yi; Wang, Shirou; Wang, Xiaodong Measures of intermediate entropies for star vector fields. (English) Zbl 07297424 Isr. J. Math. 240, No. 2, 791-819 (2020). MSC: 37C10 37A05 37A10 37B40 PDF BibTeX XML Cite \textit{M. Li} et al., Isr. J. Math. 240, No. 2, 791--819 (2020; Zbl 07297424) Full Text: DOI
Cyr, Van; Kra, Bryna Realizing ergodic properties in zero entropy subshifts. (English) Zbl 07297402 Isr. J. Math. 240, No. 1, 119-148 (2020). MSC: 37B10 37B51 37B40 PDF BibTeX XML Cite \textit{V. Cyr} and \textit{B. Kra}, Isr. J. Math. 240, No. 1, 119--148 (2020; Zbl 07297402) Full Text: DOI
Yang, Guosong; Schmidt, A. James; Liberzon, Daniel; Hespanha, João P. Topological entropy of switched linear systems: general matrices and matrices with commutation relations. (English) Zbl 1455.93031 Math. Control Signals Syst. 32, No. 3, 411-453 (2020). MSC: 93B24 93D23 93C30 93C05 37B40 PDF BibTeX XML Cite \textit{G. Yang} et al., Math. Control Signals Syst. 32, No. 3, 411--453 (2020; Zbl 1455.93031) Full Text: DOI
Ban, Jung-Chao; Chang, Chih-Hung; Huang, Nai-Zhu Entropy dimension of shift spaces on monoids. (English) Zbl 1457.37019 J. Math. Phys. 61, No. 7, 072702, 13 p. (2020). MSC: 37B40 37B51 37B10 37D35 37C45 PDF BibTeX XML Cite \textit{J.-C. Ban} et al., J. Math. Phys. 61, No. 7, 072702, 13 p. (2020; Zbl 1457.37019) Full Text: DOI
McGoff, Kevin; Nobel, Andrew B. Empirical risk minimization and complexity of dynamical models. (English) Zbl 07285284 Ann. Stat. 48, No. 4, 2031-2054 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 62M09 62R40 PDF BibTeX XML Cite \textit{K. McGoff} and \textit{A. B. Nobel}, Ann. Stat. 48, No. 4, 2031--2054 (2020; Zbl 07285284) Full Text: DOI Euclid
Chen, Yuanlong; Li, Liangliang; Wu, Xiaoying; Wang, Feng The structural stability of maps with heteroclinic repellers. (English) Zbl 1455.37020 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2050207, 10 p. (2020). MSC: 37C20 37C70 37C29 37B40 PDF BibTeX XML Cite \textit{Y. Chen} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 14, Article ID 2050207, 10 p. (2020; Zbl 1455.37020) Full Text: DOI
Bobok, Jozef; Troubetzkoy, Serge Typical properties of interval maps preserving the Lebesgue measure. (English) Zbl 1455.37037 Nonlinearity 33, No. 12, 6461-6479 (2020). Reviewer: Jonathan Hoseana (Bandung) MSC: 37E05 37B40 46B25 PDF BibTeX XML Cite \textit{J. Bobok} and \textit{S. Troubetzkoy}, Nonlinearity 33, No. 12, 6461--6479 (2020; Zbl 1455.37037) Full Text: DOI
Mészaros, András Limiting entropy of determinantal processes. (English) Zbl 07276935 Ann. Probab. 48, No. 5, 2615-2643 (2020). Reviewer: Yilun Shang (Newcastle) MSC: 60C05 37A35 60K99 60B99 PDF BibTeX XML Cite \textit{A. Mészaros}, Ann. Probab. 48, No. 5, 2615--2643 (2020; Zbl 07276935) Full Text: DOI Euclid
Ceccherini-Silberstein, Tullio; Coornaert, Michel The Garden of Eden theorem: old and new. (English) Zbl 1456.37018 Ji, Lizhen (ed.) et al., Handbook of group actions V. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 48, 55-106 (2020). Reviewer: Laurent Bartholdi (Göttingen) MSC: 37B15 37B10 37B40 37C29 37D20 PDF BibTeX XML Cite \textit{T. Ceccherini-Silberstein} and \textit{M. Coornaert}, in: Handbook of group actions V. Somerville, MA: International Press; Beijing: Higher Education Press. 55--106 (2020; Zbl 1456.37018)
Li, Risong; Lu, Tianxiu The topological entropy of cyclic permutation maps and some chaotic properties on their MPE sets. (English) Zbl 1451.37022 Complexity 2020, Article ID 9379628, 12 p. (2020). MSC: 37B40 37B05 37D45 PDF BibTeX XML Cite \textit{R. Li} and \textit{T. Lu}, Complexity 2020, Article ID 9379628, 12 p. (2020; Zbl 1451.37022) Full Text: DOI
Qiu, Jiahao; Zhao, Jianjie Null systems in the non-minimal case. (English) Zbl 1455.37010 Ergodic Theory Dyn. Syst. 40, No. 12, 3420-3437 (2020). Reviewer: Nilson C. Bernardes Jr. (Rio de Janeiro) MSC: 37B05 37B02 37B40 PDF BibTeX XML Cite \textit{J. Qiu} and \textit{J. Zhao}, Ergodic Theory Dyn. Syst. 40, No. 12, 3420--3437 (2020; Zbl 1455.37010) Full Text: DOI
Barabash, Nikita V.; Levanova, Tatiana A.; Belykh, Vladimir N. Ghost attractors in blinking Lorenz and Hindmarsh-Rose systems. (English) Zbl 07269064 Chaos 30, No. 8, 081105, 7 p. (2020). Reviewer: David Cheban (Chisinau) MSC: 37C60 37C70 37D45 37M22 37M25 PDF BibTeX XML Cite \textit{N. V. Barabash} et al., Chaos 30, No. 8, 081105, 7 p. (2020; Zbl 07269064) Full Text: DOI
Li, Sichen Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic — a remark to a paper of Dinh-Oguiso-Zhang. (English) Zbl 1445.14041 Int. J. Math. 31, No. 8, Article ID 2050059, 10 p. (2020). MSC: 14G17 14J50 37B40 14C25 PDF BibTeX XML Cite \textit{S. Li}, Int. J. Math. 31, No. 8, Article ID 2050059, 10 p. (2020; Zbl 1445.14041) Full Text: DOI
Liang, Yali; Wang, Wei A formula for localized topological pressure with factor map. (Chinese. English summary) Zbl 07266710 J. Chongqing Norm. Univ., Nat. Sci. 37, No. 2, 97-100 (2020). MSC: 37B40 54H20 PDF BibTeX XML Cite \textit{Y. Liang} and \textit{W. Wang}, J. Chongqing Norm. Univ., Nat. Sci. 37, No. 2, 97--100 (2020; Zbl 07266710) Full Text: DOI
Salman, Mohammad; Das, Ruchi Sensitivity and property \(P\) in non-autonomous systems. (English) Zbl 07259174 Mediterr. J. Math. 17, No. 4, Paper No. 128, 19 p. (2020). Reviewer: Matevž Črepnjak (Maribor) MSC: 37B55 37B05 37B40 PDF BibTeX XML Cite \textit{M. Salman} and \textit{R. Das}, Mediterr. J. Math. 17, No. 4, Paper No. 128, 19 p. (2020; Zbl 07259174) Full Text: DOI
Rust, Dan Periodic points in random substitution subshifts. (English) Zbl 1452.37058 Monatsh. Math. 193, No. 3, 683-704 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37H12 37C25 37B10 37B40 52C23 PDF BibTeX XML Cite \textit{D. Rust}, Monatsh. Math. 193, No. 3, 683--704 (2020; Zbl 1452.37058) Full Text: DOI
Mohtashamipour, Maliheh; Bahabadi, Alireza Zamani Chaos in iterated function systems. (English) Zbl 1452.37026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2050177, 11 p. (2020). MSC: 37C35 37D45 37C05 37B40 PDF BibTeX XML Cite \textit{M. Mohtashamipour} and \textit{A. Z. Bahabadi}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 12, Article ID 2050177, 11 p. (2020; Zbl 1452.37026) Full Text: DOI
Mihailescu, Eugen; Urbański, Mariusz Skew product Smale endomorphisms over countable shifts of finite type. (English) Zbl 1452.37041 Ergodic Theory Dyn. Syst. 40, No. 11, 3105-3149 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37D35 37A35 37A44 37B10 37B51 37C45 46G10 60B05 PDF BibTeX XML Cite \textit{E. Mihailescu} and \textit{M. Urbański}, Ergodic Theory Dyn. Syst. 40, No. 11, 3105--3149 (2020; Zbl 1452.37041) Full Text: DOI
Bartoš, Adam; Bobok, Jozef; Pyrih, Pavel; Roth, Samuel; Vejnar, Benjamin Constant slope, entropy, and horseshoes for a map on a tame graph. (English) Zbl 1452.37048 Ergodic Theory Dyn. Syst. 40, No. 11, 2970-2994 (2020). MSC: 37E25 37B40 37B45 PDF BibTeX XML Cite \textit{A. Bartoš} et al., Ergodic Theory Dyn. Syst. 40, No. 11, 2970--2994 (2020; Zbl 1452.37048) Full Text: DOI
Bowen, Lewis Examples in the entropy theory of countable group actions. (English) Zbl 1452.37006 Ergodic Theory Dyn. Syst. 40, No. 10, 2593-2680 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37A35 37A15 37A10 37B40 22D40 22F10 PDF BibTeX XML Cite \textit{L. Bowen}, Ergodic Theory Dyn. Syst. 40, No. 10, 2593--2680 (2020; Zbl 1452.37006) Full Text: DOI
Austin, Tim Multi-variate correlation and mixtures of product measures. (English) Zbl 07250733 Kybernetika 56, No. 3, 459-499 (2020). MSC: 60B99 60G99 62B10 94A17 PDF BibTeX XML Cite \textit{T. Austin}, Kybernetika 56, No. 3, 459--499 (2020; Zbl 07250733) 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 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Differ. Equations 269, No. 11, 9846--9867 (2020; Zbl 1451.37023) Full Text: DOI
Gao, Junming; Xiaojun, Huang; Zhu, Changrong Sequence entropies and mean sequence dimension for amenable group actions. (English) Zbl 1448.37018 J. Differ. Equations 269, No. 11, 9404-9431 (2020). MSC: 37B40 37B02 54C70 PDF BibTeX XML Cite \textit{J. Gao} et al., J. Differ. Equations 269, No. 11, 9404--9431 (2020; Zbl 1448.37018) Full Text: DOI
Kapovitch, Vitali; Ketterer, Christian CD meets CAT. (English) Zbl 1447.53038 J. Reine Angew. Math. 766, 1-44 (2020). MSC: 53C23 28A33 46C05 PDF BibTeX XML Cite \textit{V. Kapovitch} and \textit{C. Ketterer}, J. Reine Angew. Math. 766, 1--44 (2020; Zbl 1447.53038) Full Text: DOI
Korczak-Kubiak, Ewa; Loranty, Anna; Pawlak, Ryszard J. Measuring chaos by entropy for a finite family of functions. (English) Zbl 1450.37007 Chaos 30, No. 6, 063138, 8 p. (2020). MSC: 37A35 28D20 37B40 PDF BibTeX XML Cite \textit{E. Korczak-Kubiak} et al., Chaos 30, No. 6, 063138, 8 p. (2020; Zbl 1450.37007) Full Text: DOI
Houenou, Franck Djideme; Ogouyandjou, Carlos; Todjihounde, Leonard Geodesic flow on Finsler manifolds of hyperbolic type. (English) Zbl 1447.53072 Differ. Geom. Dyn. Syst. 22, 95-112 (2020). MSC: 53D25 53C60 28D20 37A35 58B20 PDF BibTeX XML Cite \textit{F. D. Houenou} et al., Differ. Geom. Dyn. Syst. 22, 95--112 (2020; Zbl 1447.53072) Full Text: Link
Matsumoto, Kengo Continuous orbit equivalence of topological Markov shifts and KMS states on Cuntz-Krieger algebras. (English) Zbl 07243497 Discrete Contin. Dyn. Syst. 40, No. 10, 5897-5909 (2020). MSC: 46L55 46L35 37B10 PDF BibTeX XML Cite \textit{K. Matsumoto}, Discrete Contin. Dyn. Syst. 40, No. 10, 5897--5909 (2020; Zbl 07243497) Full Text: DOI
Pavlov, Ronnie On entropy and intrinsic ergodicity of coded subshifts. (English) Zbl 1450.37012 Proc. Am. Math. Soc. 148, No. 11, 4717-4731 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B10 37B40 PDF BibTeX XML Cite \textit{R. Pavlov}, Proc. Am. Math. Soc. 148, No. 11, 4717--4731 (2020; Zbl 1450.37012) Full Text: DOI
Liu, Fei; Wang, Fang; Wu, Weisheng The topological entropy for autonomous Lagrangian systems on compact manifolds whose fundamental groups have exponential growth. (English) Zbl 1450.37015 Sci. China, Math. 63, No. 7, 1323-1338 (2020). MSC: 37B40 37D40 37J51 PDF BibTeX XML Cite \textit{F. Liu} et al., Sci. China, Math. 63, No. 7, 1323--1338 (2020; Zbl 1450.37015) Full Text: DOI
Törmä, Ilkka Countable sofic shifts with a periodic direction. (English) Zbl 07240645 Theory Comput. Syst. 64, No. 6, 1042-1066 (2020). MSC: 37B51 37B10 37B40 PDF BibTeX XML Cite \textit{I. Törmä}, Theory Comput. Syst. 64, No. 6, 1042--1066 (2020; Zbl 07240645) Full Text: DOI
Yang, Dawei; Zhang, Jinhua Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes. (English) Zbl 1451.37044 J. Inst. Math. Jussieu 19, No. 5, 1765-1792 (2020). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37D25 37D30 37A35 37C40 37B40 PDF BibTeX XML Cite \textit{D. Yang} and \textit{J. Zhang}, J. Inst. Math. Jussieu 19, No. 5, 1765--1792 (2020; Zbl 1451.37044) Full Text: DOI
Fuhrmann, Gabriel; Gröger, Maik Constant length substitutions, iterated function systems and amorphic complexity. (English) Zbl 1453.37015 Math. Z. 295, No. 3-4, 1385-1404 (2020). Reviewer: Bilel Selmi (Monastir) MSC: 37B10 37B40 37C45 28A78 28A80 PDF BibTeX XML Cite \textit{G. Fuhrmann} and \textit{M. Gröger}, Math. Z. 295, No. 3--4, 1385--1404 (2020; Zbl 1453.37015) Full Text: DOI
Cánovas, Jose; Muñoz-Guillermo, M. On the dynamics of the \(q\)-deformed Gaussian map. (English) Zbl 1448.37022 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2030021, 13 p. (2020). MSC: 37C05 26A18 37B40 05A30 PDF BibTeX XML Cite \textit{J. Cánovas} and \textit{M. Muñoz-Guillermo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 8, Article ID 2030021, 13 p. (2020; Zbl 1448.37022) Full Text: DOI
Lopes, Artur O.; Vargas, Victor The Ruelle operator for symmetric \(\beta\)-shifts. (English) Zbl 07236058 Publ. Mat., Barc. 64, No. 2, 661-680 (2020). MSC: 37D35 37B10 37B40 37C40 37C30 PDF BibTeX XML Cite \textit{A. O. Lopes} and \textit{V. Vargas}, Publ. Mat., Barc. 64, No. 2, 661--680 (2020; Zbl 07236058) Full Text: DOI Euclid
Tang, Dingxuan; Li, Zhiming A remark on entropies of noncompact systems. (English) Zbl 1447.37025 Rocky Mt. J. Math. 50, No. 3, 1109-1114 (2020). MSC: 37B40 37A35 28D20 54C70 PDF BibTeX XML Cite \textit{D. Tang} and \textit{Z. Li}, Rocky Mt. J. Math. 50, No. 3, 1109--1114 (2020; Zbl 1447.37025) Full Text: DOI Euclid
Sun, Peng Zero-entropy dynamical systems with the gluing orbit property. (English) Zbl 1450.37016 Adv. Math. 372, Article ID 107294, 23 p. (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37B40 37B05 54C70 PDF BibTeX XML Cite \textit{P. Sun}, Adv. Math. 372, Article ID 107294, 23 p. (2020; Zbl 1450.37016) Full Text: DOI
Hu, Fei A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic. With an appendix by Tomohide Terasoma. (English) Zbl 1455.14082 Math. Ann. 377, No. 3-4, 1573-1602 (2020). MSC: 14J50 14G17 32H50 32M05 37B40 14C25 20G05 37P99 PDF BibTeX XML Cite \textit{F. Hu}, Math. Ann. 377, No. 3--4, 1573--1602 (2020; Zbl 1455.14082) Full Text: DOI
Shinoda, Mao; Takahasi, Hiroki Lyapunov optimization for non-generic one-dimensional expanding Markov maps. (English) Zbl 1448.37051 Ergodic Theory Dyn. Syst. 40, No. 9, 2571-2592 (2020). MSC: 37E05 37B10 37B40 PDF BibTeX XML Cite \textit{M. Shinoda} and \textit{H. Takahasi}, Ergodic Theory Dyn. Syst. 40, No. 9, 2571--2592 (2020; Zbl 1448.37051) Full Text: DOI
Schmieding, Scott Automorphisms of the shift: Lyapunov exponents, entropy, and the dimension representation. (English) Zbl 1448.37014 Ergodic Theory Dyn. Syst. 40, No. 9, 2552-2570 (2020). MSC: 37B10 37B51 37B40 PDF BibTeX XML Cite \textit{S. Schmieding}, Ergodic Theory Dyn. Syst. 40, No. 9, 2552--2570 (2020; Zbl 1448.37014) Full Text: DOI
Hernández-Corbato, Luis; Nieves-Rivera, David Jesús; Ruiz Del Portal, Francisco R.; Sánchez-Gabites, Jaime J. Dynamics and eigenvalues in dimension zero. (English) Zbl 1455.37015 Ergodic Theory Dyn. Syst. 40, No. 9, 2434-2452 (2020). Reviewer: Wolfgang Steiner (Paris) MSC: 37B40 37B10 37B02 55N05 PDF BibTeX XML Cite \textit{L. Hernández-Corbato} et al., Ergodic Theory Dyn. Syst. 40, No. 9, 2434--2452 (2020; Zbl 1455.37015) Full Text: DOI