Gutman, Yonatan; Lian, Zhengxing Strictly ergodic distal models and a new approach to the Host-Kra factors. (English) Zbl 1511.37006 J. Funct. Anal. 284, No. 4, Article ID 109779, 54 p. (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37A30 37A20 22D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergelson, Vitaly; Moragues, Andreu Ferré Juxtaposing combinatorial and ergodic properties of large sets of integers. (English) Zbl 1514.37068 Isr. J. Math. 251, No. 1, 173-238 (2022). MSC: 37H15 37A30 37A25 37A44 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Aihua; Fan, Shilei; Ryzhikov, Valery V.; Shen, Weixiao Bohr chaoticity of topological dynamical systems. (English) Zbl 1506.37021 Math. Z. 302, No. 2, 1127-1154 (2022). Reviewer: Hasan Akin (Trieste) MSC: 37B40 37B05 54C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jie; Ye, Xiangdong; Yu, Tao Equicontinuity and sensitivity in mean forms. (English) Zbl 1496.37008 J. Dyn. Differ. Equations 34, No. 1, 133-154 (2022). Reviewer: K. P. Hart (Delft) MSC: 37B05 37A05 37B02 × Cite Format Result Cite Review PDF Full Text: DOI
Downarowicz, Tomasz; Weiss, Benjamin Pure strictly uniform models of non-ergodic measure automorphisms. (English) Zbl 1490.37005 Discrete Contin. Dyn. Syst. 42, No. 2, 863-884 (2022). Reviewer: Thomas B. Ward (Newcastle) MSC: 37A30 37A15 37B05 28D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergelson, Vitaly; Moragues, Andreu Ferré An ergodic correspondence principle, invariant means and applications. (English) Zbl 1501.37009 Isr. J. Math. 245, No. 2, 921-962 (2021). MSC: 37A44 37A30 43A07 20F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Wen; Lian, Zhengxing; Shao, Song; Ye, Xiangdong Minimal systems with finitely many ergodic measures. (English) Zbl 1465.37006 J. Funct. Anal. 280, No. 12, Article ID 109000, 42 p. (2021). MSC: 37A25 37A35 37B05 37A15 37B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Downarowicz, Tomasz; Weiss, Benjamin When all points are generic for ergodic measures. (English) Zbl 1476.37011 Bull. Pol. Acad. Sci., Math. 68, No. 2, 117-132 (2020). MSC: 37A30 37A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frick, Sarah; Petersen, Karl; Shields, Sandi Periodic codings of Bratteli-Vershik systems. (English) Zbl 1447.37021 Math. Scand. 126, No. 2, 298-320 (2020). MSC: 37B10 37B51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuasa, Hisatoshi A relative, strictly ergodic model theorem for infinite measure-preserving systems. (English) Zbl 1442.37014 J. Anal. Math. 140, No. 2, 591-616 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A40 37A15 37A05 37A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Griesmer, John T. Recurrence, rigidity, and popular differences. (English) Zbl 1512.37004 Ergodic Theory Dyn. Syst. 39, No. 5, 1299-1316 (2019). MSC: 37A15 37A44 37B20 28D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Huang, Wen; Shao, Song; Ye, Xiangdong Pointwise convergence of multiple ergodic averages and strictly ergodic models. (English) Zbl 1434.37001 J. Anal. Math. 139, No. 1, 265-305 (2019). MSC: 37A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lindenstrauss, Elon; Tsukamoto, Masaki Double variational principle for mean dimension. (English) Zbl 1433.37025 Geom. Funct. Anal. 29, No. 4, 1048-1109 (2019). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 37C45 37A05 94A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Downarowicz, Tomasz; Karpel, Olena Dynamics in dimension zero A survey. (English) Zbl 1394.37023 Discrete Contin. Dyn. Syst. 38, No. 3, 1033-1062 (2018). MSC: 37B10 37B05 37B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donoso, Sebastián; Sun, Wenbo Pointwise multiple averages for systems with two commuting transformations. (English) Zbl 1457.37003 Ergodic Theory Dyn. Syst. 38, No. 6, 2132-2157 (2018). MSC: 37A30 37A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romagnoli, Pierre-Paul Local conditional entropy in measure for covers with respect to a fixed partition. (English) Zbl 1391.37013 Nonlinearity 31, No. 5, 2201-2220 (2018). Reviewer: George Stoica (Saint John) MSC: 37B40 37A35 28D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donoso, Sebastián; Sun, Wenbo Pointwise convergence of some multiple ergodic averages. (English) Zbl 1398.37009 Adv. Math. 330, 946-996 (2018). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 37A30 54H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Maître, François On a measurable analogue of small topological full groups. (English) Zbl 1464.22002 Adv. Math. 332, 235-286 (2018). MSC: 22D05 37A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adams, Terry; Rosenblatt, Joseph Joint coboundaries. (English) Zbl 1403.37062 Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2773-3/pbk; 978-1-4704-4224-8/ebook). Contemporary Mathematics 698, 5-33 (2017). MSC: 37H05 37A25 28D05 37A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cyr, Van; Kra, Bryna Free ergodic \(\mathbb {Z}^2\)-systems and complexity. (English) Zbl 1362.37043 Proc. Am. Math. Soc. 145, No. 3, 1163-1173 (2017). Reviewer: Pengfei Zhang (Oxford, MS) MSC: 37B50 37B10 54H20 28D05 37A25 37A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donoso, Sebastián; Sun, Wenbo A pointwise cubic average for two commuting transformations. (English) Zbl 1370.37011 Isr. J. Math. 216, No. 2, 657-678 (2016). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 37A30 54H20 28D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quas, Anthony; Soo, Terry Ergodic universality of some topological dynamical systems. (English) Zbl 1354.37010 Trans. Am. Math. Soc. 368, No. 6, 4137-4170 (2016). MSC: 37A35 37A05 28D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coronel, Daniel; Rivera-Letelier, Juan Sensitive dependence of Gibbs measures at low temperatures. (English) Zbl 1327.82008 J. Stat. Phys. 160, No. 6, 1658-1683 (2015). MSC: 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuasa, Hisatoshi Uniform sets for infinite measure-preserving systems. (English) Zbl 1307.37003 J. Anal. Math. 120, 333-356 (2013). Reviewer: Jean-Pierre Conze (Rennes) MSC: 37A40 37A25 28D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferenczi, Sebastien; Fisher, Albert M.; Talet, Marina Minimality and unique ergodicity for adic transformations. (English) Zbl 1218.37011 J. Anal. Math. 109, 1-31 (2009). Reviewer: Jose S. Canovas (Cartagena) MSC: 37B05 37A05 37A25 37B10 × Cite Format Result Cite Review PDF Full Text: DOI
Rosenthal, A. Finite uniform generators for ergodic, finite entropy, free actions of amenable groups. (English) Zbl 0614.28017 Probab. Theory Relat. Fields 77, No. 2, 147-166 (1988). MSC: 28D20 28D15 × Cite Format Result Cite Review PDF Full Text: DOI
Rosenthal, A. Strictly ergodic models and topological mixing for \(Z^ 2\)-action. (English) Zbl 0635.28010 Isr. J. Math. 60, No. 1, 31-38 (1987). Reviewer: G.R.Goodson MSC: 28D05 54H20 28D15 × Cite Format Result Cite Review PDF Full Text: DOI
Lehrer, Ehud Topological mixing and uniquely ergodic systems. (English) Zbl 0635.28009 Isr. J. Math. 57, 239-255 (1987). Reviewer: L.N.Stoyanov MSC: 28D05 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Blanchard, F.; Hansel, G. Systèmes codés. (Coded systems). (French) Zbl 0601.68056 Theor. Comput. Sci. 44, 17-49 (1986). MSC: 68Q45 54H20 37A99 × Cite Format Result Cite Review PDF Full Text: DOI
Šujan, Štefan Ergodic theory, entropy, and coding problems of information theory. (English) Zbl 0542.94006 Kybernetika 19, Suppl. No. 1-4, 67 pp. (1983). Reviewer: C.L.Byrne MSC: 94A17 94A15 94-02 37A25 28D20 × Cite Format Result Cite Review PDF Full Text: EuDML
Denker, Manfred; Keane, Michael Almost topological dynamical systems. (English) Zbl 0441.28008 Isr. J. Math. 34, 139-160 (1979). MSC: 28D05 54H20 28D10 × Cite Format Result Cite Review PDF Full Text: DOI
Bellow, A.; Furstenberg, H. An application of number theory to ergodic theory and the construction of uniquely ergodic models. (English) Zbl 0438.28019 Isr. J. Math. 33, 231-240 (1979). MSC: 28D05 × Cite Format Result Cite Review PDF Full Text: DOI
Lind, D. A.; Thouvenot, J.-P. Measure-preserving homeomorphisms of the torus represent all finite entropy ergodic transformations. (English) Zbl 0377.28011 Math. Syst. Theory 11, 275-282 (1978). MSC: 28D05 × Cite Format Result Cite Review PDF Full Text: DOI
Aaronson, Jon Rational ergodicity and a metric invariant for Markov shifts. (English) Zbl 0376.28011 Isr. J. Math. 27, 93-123 (1977). MSC: 28D05 × Cite Format Result Cite Review PDF Full Text: DOI
Katok, A. B.; Sinai, Ya. G.; Stepin, A. M. Theory of dynamical systems and general transformation groups with invariant measure. (English. Russian original) Zbl 0399.28011 J. Sov. Math. 7, 974-1065 (1977); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 13, 129-262 (1975). MSC: 37A15 28Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Denker, Manfred; Eberlein, Ernst Ergodic flows are strictly ergodic. (English) Zbl 0283.28012 Adv. Math. 13, 437-473 (1974). MSC: 28D05 60B05 47A35 54H20 × Cite Format Result Cite Review PDF Full Text: DOI
Denker, Manfred Einige Bemerkungen zu Erzeugersätzen. (German) Zbl 0278.28007 Z. Wahrscheinlichkeitstheor. Verw. Geb. 29, 57-64 (1974). MSC: 28D05 × Cite Format Result Cite Review PDF Full Text: DOI
Conze, Jean-Pierre Convergence des moyennes ergodiques pour des sous-suites. (French) Zbl 0285.28017 Bull. Soc. Math. Fr., Suppl., Mém. 35, 7-15 (1973). MSC: 28D05 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML