Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. Multidimensional continued fractions and symbolic codings of toral translations. (English) Zbl 07774923 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997-5057 (2023). MSC: 37B10 37A30 37A44 11J70 11K50 11A55 11Y65 28A80 PDFBibTeX XMLCite \textit{V. Berthé} et al., J. Eur. Math. Soc. (JEMS) 25, No. 12, 4997--5057 (2023; Zbl 07774923) Full Text: DOI arXiv
Ishii, Yutaka; Oka, Tatsuya On the Hausdorff dimension of the recurrent sets induced from endomorphisms of free groups. (English) Zbl 1509.28009 J. Fractal Geom. 9, No. 1-2, 171-192 (2022). MSC: 28A80 11K55 PDFBibTeX XMLCite \textit{Y. Ishii} and \textit{T. Oka}, J. Fractal Geom. 9, No. 1--2, 171--192 (2022; Zbl 1509.28009) Full Text: DOI
Giulietti, Paolo; Hammerlindl, Andy; Ravotti, Davide Quantitative global-local mixing for accessible skew products. (English) Zbl 1521.37024 Ann. Henri Poincaré 23, No. 3, 923-971 (2022). MSC: 37C30 37A25 37D30 37A40 PDFBibTeX XMLCite \textit{P. Giulietti} et al., Ann. Henri Poincaré 23, No. 3, 923--971 (2022; Zbl 1521.37024) Full Text: DOI arXiv
Huang, Wen; Lian, Zeng Horseshoes for Anosov systems on fibers driven by an equicontinuous system. (English) Zbl 1490.37034 Acta Math. Sin., Engl. Ser. 38, No. 1, 281-290 (2022). MSC: 37C40 37A35 37D20 37H12 PDFBibTeX XMLCite \textit{W. Huang} and \textit{Z. Lian}, Acta Math. Sin., Engl. Ser. 38, No. 1, 281--290 (2022; Zbl 1490.37034) Full Text: DOI
Labbé, Sébastien Rauzy induction of polygon partitions and toral \(\mathbb{Z}^2\)-rotations. (English) Zbl 1501.37002 J. Mod. Dyn. 17, 481-528 (2021). MSC: 37A05 37B51 37B52 52C23 PDFBibTeX XMLCite \textit{S. Labbé}, J. Mod. Dyn. 17, 481--528 (2021; Zbl 1501.37002) Full Text: DOI arXiv
Lima, Yuri Symbolic dynamics for non-uniformly hyperbolic systems. (English) Zbl 1479.37016 Ergodic Theory Dyn. Syst. 41, No. 9, 2591-2658 (2021). Reviewer: Hasan Akin (Trieste) MSC: 37B10 37C05 37D25 37C35 37C83 37D35 PDFBibTeX XMLCite \textit{Y. Lima}, Ergodic Theory Dyn. Syst. 41, No. 9, 2591--2658 (2021; Zbl 1479.37016) Full Text: DOI arXiv
Gallavotti, Giovanni Nonequilibrium and fluctuation relation. (English) Zbl 1445.82003 J. Stat. Phys. 180, No. 1-6, 172-226 (2020). MSC: 82C05 PDFBibTeX XMLCite \textit{G. Gallavotti}, J. Stat. Phys. 180, No. 1--6, 172--226 (2020; Zbl 1445.82003) Full Text: DOI arXiv
Butterley, Oliver; War, Khadim Open sets of exponentially mixing Anosov flows. (English) Zbl 1452.37035 J. Eur. Math. Soc. (JEMS) 22, No. 7, 2253-2285 (2020). Reviewer: Miguel Paternain (Montevideo) MSC: 37D20 37A25 37C20 37D10 PDFBibTeX XMLCite \textit{O. Butterley} and \textit{K. War}, J. Eur. Math. Soc. (JEMS) 22, No. 7, 2253--2285 (2020; Zbl 1452.37035) Full Text: DOI arXiv
Zhang, Xu Some statistical properties of almost Anosov diffeomorphisms. (English) Zbl 1448.37039 Chaos Solitons Fractals 123, 149-162 (2019). MSC: 37D20 37C05 PDFBibTeX XMLCite \textit{X. Zhang}, Chaos Solitons Fractals 123, 149--162 (2019; Zbl 1448.37039) Full Text: DOI
Araújo, Vitor; Butterley, Oliver; Varandas, Paulo Erratum to: “Open sets of axiom A flows with exponentially mixing attractors”. (English) Zbl 1401.37035 Proc. Am. Math. Soc. 146, No. 11, 5013-5014 (2018). MSC: 37D20 37A25 37C10 PDFBibTeX XMLCite \textit{V. Araújo} et al., Proc. Am. Math. Soc. 146, No. 11, 5013--5014 (2018; Zbl 1401.37035) Full Text: DOI
Akiyama, Shigeki; Loridant, Benoît Boundary parametrization and the topology of tiles. (English) Zbl 1369.28007 Nagoya Math. J. 226, 127-164 (2017). Reviewer: George Stoica (Saint John) MSC: 28A80 52C20 PDFBibTeX XMLCite \textit{S. Akiyama} and \textit{B. Loridant}, Nagoya Math. J. 226, 127--164 (2017; Zbl 1369.28007) Full Text: DOI Link
Schmidt, Klaus Representations of toral automorphisms. (English) Zbl 1353.37091 Topology Appl. 205, 88-116 (2016). Reviewer: Wolfgang Steiner (Sydney) MSC: 37E30 11K16 37A45 37B10 37C29 PDFBibTeX XMLCite \textit{K. Schmidt}, Topology Appl. 205, 88--116 (2016; Zbl 1353.37091) Full Text: DOI arXiv
Loridant, Benoît Topological properties of a class of cubic Rauzy fractals. (English) Zbl 1418.37031 Osaka J. Math. 53, No. 1, 161-219 (2016). MSC: 37B50 37B10 28A80 PDFBibTeX XMLCite \textit{B. Loridant}, Osaka J. Math. 53, No. 1, 161--219 (2016; Zbl 1418.37031) Full Text: arXiv Euclid
Jolivet, Timo; Siegel, Anne Decidability problems for self-induced systems generated by a substitution. (English) Zbl 1411.37018 Durand-Lose, Jérôme (ed.) et al., Machines, computations, and universality. 7th international conference, MCU 2015, Famagusta, North Cyprus, September 9–11, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9288, 3-16 (2015). MSC: 37B50 03D35 28A80 68Q45 68R15 PDFBibTeX XMLCite \textit{T. Jolivet} and \textit{A. Siegel}, Lect. Notes Comput. Sci. 9288, 3--16 (2015; Zbl 1411.37018) Full Text: DOI HAL
Arnoux, Pierre; Furukado, Maki; Harriss, Edmund; Ito, Shunji Algebraic numbers, free group automorphisms and substitutions on the plane. (English) Zbl 1254.37015 Trans. Am. Math. Soc. 363, No. 9, 4651-4699 (2011). Reviewer: Dimitrios Varsos (Athenai) MSC: 37B50 52C20 20E36 PDFBibTeX XMLCite \textit{P. Arnoux} et al., Trans. Am. Math. Soc. 363, No. 9, 4651--4699 (2011; Zbl 1254.37015) Full Text: DOI
Xia, Hongqiang Multidimensional local central limit theorem of some non-uniformly hyperbolic systems. (English) Zbl 1183.37074 Acta Math. Sin., Engl. Ser. 25, No. 4, 565-580 (2009). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37D50 37D25 PDFBibTeX XMLCite \textit{H. Xia}, Acta Math. Sin., Engl. Ser. 25, No. 4, 565--580 (2009; Zbl 1183.37074) Full Text: DOI
Chernov, Nikolai I. A stretched exponential bound on time correlations for billiard flows. (English) Zbl 1302.37026 J. Stat. Phys. 127, No. 1, 21-50 (2007). MSC: 37D50 37A25 37C40 82C40 PDFBibTeX XMLCite \textit{N. I. Chernov}, J. Stat. Phys. 127, No. 1, 21--50 (2007; Zbl 1302.37026) Full Text: DOI
Manning, Anthony A Markov partition that reflects the geometry of a hyperbolic toral automorphism. (English) Zbl 1042.37023 Trans. Am. Math. Soc. 354, No. 7, 2849-2863 (2002). MSC: 37D20 28A80 37A25 PDFBibTeX XMLCite \textit{A. Manning}, Trans. Am. Math. Soc. 354, No. 7, 2849--2863 (2002; Zbl 1042.37023) Full Text: DOI
Le Borgne, Stéphane A sofic coding of the hyperbolic automorphisms of the torus. (Un codage sofique des automorphismes hyperboliques du tore.) (French) Zbl 0983.37031 Bol. Soc. Bras. Mat., Nova Sér. 30, No. 1, 61-93 (1999). Reviewer: Francisco Balibrea (Murcia) MSC: 37D05 37B10 37C40 28D20 PDFBibTeX XMLCite \textit{S. Le Borgne}, Bol. Soc. Bras. Mat., Nova Sér. 30, No. 1, 61--93 (1999; Zbl 0983.37031) Full Text: DOI
Praggastis, Brenda Numeration systems and Markov partitions from self similar tilings. (English) Zbl 0984.11008 Trans. Am. Math. Soc. 351, No. 8, 3315-3349 (1999). MSC: 11A63 52C22 37B10 37B50 PDFBibTeX XMLCite \textit{B. Praggastis}, Trans. Am. Math. Soc. 351, No. 8, 3315--3349 (1999; Zbl 0984.11008) Full Text: DOI
Adler, Roy L. Symbolic dynamics and Markov partitions. (English) Zbl 0892.58019 Bull. Am. Math. Soc., New Ser. 35, No. 1, 1-56 (1998). MSC: 37E99 37B99 37D99 PDFBibTeX XMLCite \textit{R. L. Adler}, Bull. Am. Math. Soc., New Ser. 35, No. 1, 1--56 (1998; Zbl 0892.58019) Full Text: DOI arXiv
Chernov, N. I. Statistical properties of the periodic Lorentz gas. Multidimensional case. (English) Zbl 0946.37500 J. Stat. Phys. 74, No. 1-2, 11-53 (1994). MSC: 37Axx 82C40 37Exx 37Dxx PDFBibTeX XMLCite \textit{N. I. Chernov}, J. Stat. Phys. 74, No. 1--2, 11--53 (1994; Zbl 0946.37500) Full Text: DOI
Ashley, Jonathan; Kitchens, Bruce; Stafford, Matthew Boundaries of Markov partitions. (English) Zbl 0763.58020 Trans. Am. Math. Soc. 333, No. 1, 177-201 (1992). Reviewer: J.Ombach (Kraków) MSC: 37D99 54H20 37E99 PDFBibTeX XMLCite \textit{J. Ashley} et al., Trans. Am. Math. Soc. 333, No. 1, 177--201 (1992; Zbl 0763.58020) Full Text: DOI
Chernov, N. I. Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus. (English) Zbl 0925.58072 J. Stat. Phys. 69, No. 1-2, 111-134 (1992); addendum ibid. 71, No. 1-2, 341-347 (1993). MSC: 37D99 37A99 37E99 PDFBibTeX XMLCite \textit{N. I. Chernov}, J. Stat. Phys. 69, No. 1--2, 111--134 (1992; Zbl 0925.58072) Full Text: DOI
Cawley, Elise Smooth Markov partitions and toral automorphisms. (English) Zbl 0754.58028 Ergodic Theory Dyn. Syst. 11, No. 4, 633-651 (1991). Reviewer: Y.Kozai (Tokyo) MSC: 37D99 PDFBibTeX XMLCite \textit{E. Cawley}, Ergodic Theory Dyn. Syst. 11, No. 4, 633--651 (1991; Zbl 0754.58028) Full Text: DOI
Fathi, Albert Some compact invariant sets for hyperbolic linear automorphisms of torii. (English) Zbl 0658.58028 Ergodic Theory Dyn. Syst. 8, No. 2, 191-204 (1988). Reviewer: L.N.Stoyanov MSC: 37D99 37C85 57R30 PDFBibTeX XMLCite \textit{A. Fathi}, Ergodic Theory Dyn. Syst. 8, No. 2, 191--204 (1988; Zbl 0658.58028) Full Text: DOI
Bedford, Tim Generating special Markov partitions for hyperbolic toral automorphisms using fractals. (English) Zbl 0628.58028 Ergodic Theory Dyn. Syst. 6, 325-333 (1986). Reviewer: F.M.Dekking MSC: 37A99 37D99 28D05 PDFBibTeX XMLCite \textit{T. Bedford}, Ergodic Theory Dyn. Syst. 6, 325--333 (1986; Zbl 0628.58028) Full Text: DOI
Irwin, M. C. Hölder continuous paths and hyperbolic toral automorphisms. (English) Zbl 0593.58032 Ergodic Theory Dyn. Syst. 6, 241-257 (1986). MSC: 37D20 PDFBibTeX XMLCite \textit{M. C. Irwin}, Ergodic Theory Dyn. Syst. 6, 241--257 (1986; Zbl 0593.58032) Full Text: DOI
Farrell, F. T.; Jones, L. E. Markov cell structures for expanding maps in dimension two. (English) Zbl 0456.58020 Trans. Am. Math. Soc. 255, 315-327 (1979). MSC: 37D99 PDFBibTeX XMLCite \textit{F. T. Farrell} and \textit{L. E. Jones}, Trans. Am. Math. Soc. 255, 315--327 (1979; Zbl 0456.58020) Full Text: DOI
Guckenheimer, John Sensitive dependence to initial conditions for one dimensional maps. (English) Zbl 0429.58012 Commun. Math. Phys. 70, 133-160 (1979). MSC: 37E05 37C25 PDFBibTeX XMLCite \textit{J. Guckenheimer}, Commun. Math. Phys. 70, 133--160 (1979; Zbl 0429.58012) Full Text: DOI