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: 37 57R 54H 37D 28D 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
Çineli, Erman; Ginzburg, Viktor L.; Gürel, Başak Z. Pseudo-rotations and holomorphic curves. (English) Zbl 07296290 Sel. Math., New Ser. 26, No. 5, Paper No. 78, 31 p. (2020). MSC: 53D40 37J10 37J45 PDF BibTeX XML Cite \textit{E. Çineli} et al., Sel. Math., New Ser. 26, No. 5, Paper No. 78, 31 p. (2020; Zbl 07296290) Full Text: DOI
Hurtado, Sebastián; Kocsard, Alejandro; Rodríguez-Hertz, Federico The Burnside problem for \(\text{Diff}_{\omega}(\mathbb{S}^2)\). (English) Zbl 07292330 Duke Math. J. 169, No. 17, 3261-3290 (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37A05 37B05 37C85 37E30 37E35 57S05 PDF BibTeX XML Cite \textit{S. Hurtado} et al., Duke Math. J. 169, No. 17, 3261--3290 (2020; Zbl 07292330) Full Text: DOI Euclid
Avila, Artur; Fayad, Bassam; Le Calvez, Patrice; Xu, Disheng; Zhang, Zhiyuan On mixing diffeomorphisms of the disc. (English) Zbl 1448.37052 Invent. Math. 220, No. 3, 673-714 (2020). Reviewer: Álvaro Castañeda (Santiago) MSC: 37E30 37E45 37C05 37E10 37B40 37A25 37J40 PDF BibTeX XML Cite \textit{A. Avila} et al., Invent. Math. 220, No. 3, 673--714 (2020; Zbl 1448.37052) Full Text: DOI
Kunde, Philipp Smooth zero-entropy diffeomorphisms with ergodic derivative extension. (English) Zbl 1444.37021 Comment. Math. Helv. 95, No. 1, 1-25 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37C40 37C05 37A05 57R50 PDF BibTeX XML Cite \textit{P. Kunde}, Comment. Math. Helv. 95, No. 1, 1--25 (2020; Zbl 1444.37021) Full Text: DOI
Ginzburg, Viktor L.; Gürel, Başak Z. Approximate identities and Lagrangian Poincaré recurrence. (English) Zbl 07173983 Arnold Math. J. 5, No. 1, 5-14 (2019). MSC: 53D40 37J10 37J45 PDF BibTeX XML Cite \textit{V. L. Ginzburg} and \textit{B. Z. Gürel}, Arnold Math. J. 5, No. 1, 5--14 (2019; Zbl 07173983) Full Text: DOI
Banerjee, Shilpak; Kunde, Philipp Real-analytic AbC constructions on the torus. (English) Zbl 1436.37055 Ergodic Theory Dyn. Syst. 39, No. 10, 2643-2688 (2019). MSC: 37E30 37C15 37C05 PDF BibTeX XML Cite \textit{S. Banerjee} and \textit{P. Kunde}, Ergodic Theory Dyn. Syst. 39, No. 10, 2643--2688 (2019; Zbl 1436.37055) Full Text: DOI
Geiges, Hansjörg Controlled Reeb dynamics – three lectures not in Cala Gonone. (English) Zbl 1450.37059 Complex Manifolds 6, 118-137 (2019). Reviewer: Antonio De Nicola (Salerno) MSC: 37J55 37J06 37J39 53D10 53D15 53D35 PDF BibTeX XML Cite \textit{H. Geiges}, Complex Manifolds 6, 118--137 (2019; Zbl 1450.37059) Full Text: DOI
Foreman, Matthew; Weiss, Benjamin A symbolic representation for Anosov-Katok systems. (English) Zbl 1429.37003 J. Anal. Math. 137, No. 2, 603-661 (2019). Reviewer: David B. Gauld (Auckland) MSC: 37A05 37E30 37C05 57S05 37A15 37A35 PDF BibTeX XML Cite \textit{M. Foreman} and \textit{B. Weiss}, J. Anal. Math. 137, No. 2, 603--661 (2019; Zbl 1429.37003) Full Text: DOI
Hernández-Corbato, Luis; Presas, Francisco The conjugation method in symplectic dynamics. (English) Zbl 1409.37057 Rev. Mat. Iberoam. 35, No. 1, 1-22 (2019). Reviewer: Akira Asada (Takarazuka) MSC: 37J10 37J55 53D22 PDF BibTeX XML Cite \textit{L. Hernández-Corbato} and \textit{F. Presas}, Rev. Mat. Iberoam. 35, No. 1, 1--22 (2019; Zbl 1409.37057) Full Text: DOI
Ginzburg, Viktor L.; Gürel, Başak Z. Hamiltonian pseudo-rotations of projective spaces. (English) Zbl 1447.53073 Invent. Math. 214, No. 3, 1081-1130 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 53D40 37J11 37J46 PDF BibTeX XML Cite \textit{V. L. Ginzburg} and \textit{B. Z. Gürel}, Invent. Math. 214, No. 3, 1081--1130 (2018; Zbl 1447.53073) Full Text: DOI
Kunde, Philipp Further dense properties of the space of circle diffeomorphisms with a Liouville rotation number. (English) Zbl 1426.37037 J. Dyn. Differ. Equations 30, No. 3, 1145-1160 (2018). Reviewer: Fernanda Botelho (Memphis) MSC: 37E10 37A20 37C05 37E45 PDF BibTeX XML Cite \textit{P. Kunde}, J. Dyn. Differ. Equations 30, No. 3, 1145--1160 (2018; Zbl 1426.37037) Full Text: DOI
Wang, Jian; Zhang, Zhiyuan The rigidity of pseudo-rotations on the two-torus and a question of Norton-Sullivan. (English) Zbl 1401.37051 Geom. Funct. Anal. 28, No. 5, 1487-1516 (2018). MSC: 37E30 37E10 37E45 PDF BibTeX XML Cite \textit{J. Wang} and \textit{Z. Zhang}, Geom. Funct. Anal. 28, No. 5, 1487--1516 (2018; Zbl 1401.37051) Full Text: DOI arXiv
Gunesch, Roland; Kunde, Philipp Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior. (English) Zbl 1394.37041 Discrete Contin. Dyn. Syst. 38, No. 4, 1615-1655 (2018). MSC: 37C40 37A05 57R50 PDF BibTeX XML Cite \textit{R. Gunesch} and \textit{P. Kunde}, Discrete Contin. Dyn. Syst. 38, No. 4, 1615--1655 (2018; Zbl 1394.37041) Full Text: DOI
Kunde, Philipp Uniform rigidity sequences for weakly mixing diffeomorphisms on \(\mathbb{D}^m\), \(\mathbb{T}^m\) and \(\mathbb{S}^1 \times [0, 1]^{m - 1}\). (English) Zbl 1386.37003 J. Math. Anal. Appl. 462, No. 2, 1398-1424 (2018). MSC: 37A05 28D05 PDF BibTeX XML Cite \textit{P. Kunde}, J. Math. Anal. Appl. 462, No. 2, 1398--1424 (2018; Zbl 1386.37003) Full Text: DOI
Karaliolios, Nikolaos Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\). (English) Zbl 1388.37005 Commun. Math. Phys. 358, No. 2, 741-766 (2018). Reviewer: Meirong Zhang (Beijing) MSC: 37A20 37H05 37C15 37J40 PDF BibTeX XML Cite \textit{N. Karaliolios}, Commun. Math. Phys. 358, No. 2, 741--766 (2018; Zbl 1388.37005) Full Text: DOI
Béguin, François; Crovisier, Sylvain; Jäger, Tobias A dynamical decomposition of the torus into pseudo-circles. To the memory of Dmitri V. Anosov. (English) Zbl 1385.37055 Katok, Anatole (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). Contemporary Mathematics 692, 39-50 (2017). MSC: 37E30 37E45 37C15 PDF BibTeX XML Cite \textit{F. Béguin} et al., Contemp. Math. 692, 39--50 (2017; Zbl 1385.37055) Full Text: DOI
Katok, Anatole Dmitry Viktorovich Anosov: his life and mathematics. (English) Zbl 1386.01011 Katok, Anatole (ed.) et al., Modern theory of dynamical systems. A tribute to Dmitry Victorovich Anosov. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2560-9/pbk; 978-1-4704-4119-7/ebook). Contemporary Mathematics 692, 1-21 (2017). MSC: 01A70 PDF BibTeX XML Cite \textit{A. Katok}, Contemp. Math. 692, 1--21 (2017; Zbl 1386.01011) Full Text: DOI
Kunde, Philipp Real-analytic weak mixing diffeomorphisms preserving a measurable Riemannian metric. (English) Zbl 1378.37041 Ergodic Theory Dyn. Syst. 37, No. 5, 1547-1569 (2017). MSC: 37C05 37A25 37A05 PDF BibTeX XML Cite \textit{P. Kunde}, Ergodic Theory Dyn. Syst. 37, No. 5, 1547--1569 (2017; Zbl 1378.37041) Full Text: DOI Link
Banerjee, Shilpak Non-standard real-analytic realizations of some rotations of the circle. (English) Zbl 1377.37065 Ergodic Theory Dyn. Syst. 37, No. 5, 1369-1386 (2017); erratum ibid. 37, No. 5, 1387-1388. MSC: 37E10 37A05 37A35 37C15 37A25 37E30 PDF BibTeX XML Cite \textit{S. Banerjee}, Ergodic Theory Dyn. Syst. 37, No. 5, 1369--1386 (2017; Zbl 1377.37065) Full Text: DOI Link
Bonatti, C.; Monteverde, Ignacio; Navas, Andres; Rivas, Cristobal Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups. (English) Zbl 1433.37030 Math. Z. 286, No. 3-4, 919-949 (2017). Reviewer: Fabio Santos (Rio de Janeiro) MSC: 37C85 20F16 22F05 37E10 37F15 PDF BibTeX XML Cite \textit{C. Bonatti} et al., Math. Z. 286, No. 3--4, 919--949 (2017; Zbl 1433.37030) Full Text: DOI
Jäger, Tobias; Koropecki, Andres Poincaré theory for decomposable cofrontiers. (English) Zbl 1366.37039 Ann. Henri Poincaré 18, No. 1, 85-112 (2017). Reviewer: Matevž Črepnjak (Maribor) MSC: 37B45 54F15 54H20 PDF BibTeX XML Cite \textit{T. Jäger} and \textit{A. Koropecki}, Ann. Henri Poincaré 18, No. 1, 85--112 (2017; Zbl 1366.37039) Full Text: DOI arXiv
Kunde, Philipp Smooth diffeomorphisms with homogeneous spectrum and disjointness of convolutions. (English) Zbl 1402.37032 J. Mod. Dyn. 10, 439-481 (2016). MSC: 37C40 37A05 37A30 37C05 PDF BibTeX XML Cite \textit{P. Kunde}, J. Mod. Dyn. 10, 439--481 (2016; Zbl 1402.37032) Full Text: DOI
Le Calvez, Patrice A finite dimensional approach to Bramham’s approximation theorem. (Une approche de dimension finie du théorème d’approximation de Bramham.) (English. French summary) Zbl 1369.37039 Ann. Inst. Fourier 66, No. 5, 2169-2202 (2016). MSC: 37D30 37E30 37E45 37J10 PDF BibTeX XML Cite \textit{P. Le Calvez}, Ann. Inst. Fourier 66, No. 5, 2169--2202 (2016; Zbl 1369.37039) Full Text: DOI arXiv
Iglesias, J.; Portela, A.; Rovella, A.; Xavier, J. Dynamics of covering maps of the annulus I: semiconjugacies. (English) Zbl 1367.37041 Math. Z. 284, No. 1-2, 209-229 (2016). MSC: 37E10 37C15 PDF BibTeX XML Cite \textit{J. Iglesias} et al., Math. Z. 284, No. 1--2, 209--229 (2016; Zbl 1367.37041) Full Text: DOI
Ginzburg, Viktor L.; Gürel, Başak Z. The Conley conjecture and beyond. (English) Zbl 1332.53105 Arnold Math. J. 1, No. 3, 299-337 (2015). Reviewer: William J. Satzer jun. (St. Paul) MSC: 53D40 37J10 37J45 37J55 PDF BibTeX XML Cite \textit{V. L. Ginzburg} and \textit{B. Z. Gürel}, Arnold Math. J. 1, No. 3, 299--337 (2015; Zbl 1332.53105) Full Text: DOI
Bramham, Barney Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves. (English) Zbl 1353.37090 Ann. Math. (2) 181, No. 3, 1033-1086 (2015). Reviewer: Manuel de León (Madrid) MSC: 37E30 37J45 53D40 32Q60 32Q65 PDF BibTeX XML Cite \textit{B. Bramham}, Ann. Math. (2) 181, No. 3, 1033--1086 (2015; Zbl 1353.37090) Full Text: DOI arXiv
Kunde, Philipp Uniform rigidity sequences for weak mixing diffeomorphisms on \(\mathbb{D}^2\), \(\mathbb{A}\) and \(\mathbb{T}^2\). (English) Zbl 1314.30124 J. Math. Anal. Appl. 429, No. 1, 111-130 (2015). MSC: 30L99 PDF BibTeX XML Cite \textit{P. Kunde}, J. Math. Anal. Appl. 429, No. 1, 111--130 (2015; Zbl 1314.30124) Full Text: DOI arXiv
Koropecki, Andres; Le Calvez, Patrice; Nassiri, Meysam Prime ends rotation numbers and periodic points. (English) Zbl 1382.37043 Duke Math. J. 164, No. 3, 403-472 (2015). MSC: 37E30 37E45 30D40 37A05 37B45 30D05 PDF BibTeX XML Cite \textit{A. Koropecki} et al., Duke Math. J. 164, No. 3, 403--472 (2015; Zbl 1382.37043) Full Text: DOI Euclid arXiv
Bramham, Barney Pseudo-rotations with sufficiently Liouvillean rotation number are \(C^0\)-rigid. (English) Zbl 1353.37007 Invent. Math. 199, No. 2, 561-580 (2015). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A25 37C40 37J10 37E45 37B40 PDF BibTeX XML Cite \textit{B. Bramham}, Invent. Math. 199, No. 2, 561--580 (2015; Zbl 1353.37007) Full Text: DOI arXiv
Strung, Karen R. \(C^\ast\)-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere. (English) Zbl 1326.46048 J. Funct. Anal. 268, No. 3, 671-689 (2015). MSC: 46L35 46L55 PDF BibTeX XML Cite \textit{K. R. Strung}, J. Funct. Anal. 268, No. 3, 671--689 (2015; Zbl 1326.46048) Full Text: DOI arXiv
Passeggi, Alejandro; Xavier, Juliana A classification of minimal sets for surface homeomorphisms. (English) Zbl 1358.57022 Math. Z. 278, No. 3-4, 1153-1177 (2014). MSC: 57N05 37D20 PDF BibTeX XML Cite \textit{A. Passeggi} and \textit{J. Xavier}, Math. Z. 278, No. 3--4, 1153--1177 (2014; Zbl 1358.57022) Full Text: DOI arXiv
Fayad, Bassam; Katok, Anatole Analytic uniquely ergodic volume preserving maps on odd spheres. (English) Zbl 1336.37021 Comment. Math. Helv. 89, No. 4, 963-977 (2014). Reviewer: Filippo Bracci (Roma) MSC: 37C40 32C99 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{A. Katok}, Comment. Math. Helv. 89, No. 4, 963--977 (2014; Zbl 1336.37021) Full Text: DOI arXiv
Zhang, Pengfei Fundamental domain of invariant sets and applications. (English) Zbl 1362.37077 Ergodic Theory Dyn. Syst. 34, No. 1, 341-352 (2014). Reviewer: Yujun Zhu (Shijiazhuang) MSC: 37D30 37D20 37B40 PDF BibTeX XML Cite \textit{P. Zhang}, Ergodic Theory Dyn. Syst. 34, No. 1, 341--352 (2014; Zbl 1362.37077) Full Text: DOI arXiv
Chen, Jianyu; Hu, Huyi; Pesin, Yakov The essential coexistence phenomenon in dynamics. (English) Zbl 1287.37007 Dyn. Syst. 28, No. 3, 453-472 (2013). MSC: 37A25 37C40 37D40 PDF BibTeX XML Cite \textit{J. Chen} et al., Dyn. Syst. 28, No. 3, 453--472 (2013; Zbl 1287.37007) Full Text: DOI
Zhang, Yiwei; Lin, Congping Invariant measures with bounded variation densities for piecewise area preserving maps. (English) Zbl 1401.37032 Ergodic Theory Dyn. Syst. 33, No. 2, 624-642 (2013). Reviewer: Victor Sharapov (Dayton) MSC: 37C40 37C30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{C. Lin}, Ergodic Theory Dyn. Syst. 33, No. 2, 624--642 (2013; Zbl 1401.37032) Full Text: DOI arXiv
Collier, Brian; Kerman, Ely; Reiniger, Benjamin M.; Turmunkh, Bolor; Zimmer, Andrew A symplectic proof of a theorem of Franks. (English) Zbl 1267.53093 Compos. Math. 148, No. 6, 1969-1984 (2012). Reviewer: William J. Satzer jun. (St. Paul) MSC: 53D40 37J45 70H12 37J05 PDF BibTeX XML Cite \textit{B. Collier} et al., Compos. Math. 148, No. 6, 1969--1984 (2012; Zbl 1267.53093) Full Text: DOI arXiv
Béguin, F.; Crovisier, S.; Le Roux, F. Realisation of measured dynamics as uniquely ergodic minimal homeomorphisms on manifolds. (English) Zbl 1268.37004 Math. Z. 270, No. 1-2, 59-102 (2012). Reviewer: Victor Sharapov (Volgograd) MSC: 37A05 37E30 PDF BibTeX XML Cite \textit{F. Béguin} et al., Math. Z. 270, No. 1--2, 59--102 (2012; Zbl 1268.37004) Full Text: DOI
Chéritat, Arnaud Relatively compact Siegel disks with non-locally connected boundaries. (English) Zbl 1236.37028 Math. Ann. 349, No. 3, 529-542 (2011). Reviewer: Alvaro Bustinduy (Madrid) MSC: 37F50 37F10 PDF BibTeX XML Cite \textit{A. Chéritat}, Math. Ann. 349, No. 3, 529--542 (2011; Zbl 1236.37028) Full Text: DOI arXiv
Jäger, T. Periodic point free homeomorphisms of the open annulus: from skew products to non-fibred maps. (English) Zbl 1197.37055 Proc. Am. Math. Soc. 138, No. 5, 1751-1764 (2010). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37E30 PDF BibTeX XML Cite \textit{T. Jäger}, Proc. Am. Math. Soc. 138, No. 5, 1751--1764 (2010; Zbl 1197.37055) Full Text: DOI
Jäger, T. The concept of bounded mean motion for toral homeomorphisms. (English) Zbl 1190.37047 Dyn. Syst. 24, No. 3, 277-297 (2009). Reviewer: Alois Klíč (Praha) MSC: 37E30 37E45 PDF BibTeX XML Cite \textit{T. Jäger}, Dyn. Syst. 24, No. 3, 277--297 (2009; Zbl 1190.37047) Full Text: DOI
Béguin, F.; Crovisier, S.; Jäger, Tobias; Le Roux, F. Denjoy constructions for fibered homeomorphisms of the torus. (English) Zbl 1179.37057 Trans. Am. Math. Soc. 361, No. 11, 5851-5883 (2009). Reviewer: E. Ahmed (Mansoura) MSC: 37E10 37E30 PDF BibTeX XML Cite \textit{F. Béguin} et al., Trans. Am. Math. Soc. 361, No. 11, 5851--5883 (2009; Zbl 1179.37057) Full Text: DOI
Kocsard, Alejandro; Koropecki, Andrés A mixing-like property and inexistence of invariant foliations for minimal diffeomorphisms of the 2-torus. (English) Zbl 1179.37063 Proc. Am. Math. Soc. 137, No. 10, 3379-3386 (2009). Reviewer: Eugene Ershov (St. Petersburg) MSC: 37E30 37B05 PDF BibTeX XML Cite \textit{A. Kocsard} and \textit{A. Koropecki}, Proc. Am. Math. Soc. 137, No. 10, 3379--3386 (2009; Zbl 1179.37063) Full Text: DOI arXiv Backlinks: MO
Fayad, B. R.; Saprykina, M.; Windsor, A. Non-standard smooth realizations of Liouville rotations. (English) Zbl 1127.37008 Ergodic Theory Dyn. Syst. 27, No. 6, 1803-1818 (2007). MSC: 37A25 37E45 37E10 37A05 PDF BibTeX XML Cite \textit{B. R. Fayad} et al., Ergodic Theory Dyn. Syst. 27, No. 6, 1803--1818 (2007; Zbl 1127.37008) Full Text: DOI
Béguin, François; Crovisier, Sylvain; Le Roux, Frédéric Construction of curious minimal uniquely ergodic homeomorphisms on manifolds: The Denjoy-Rees technique. (English. French summary) Zbl 1132.37003 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 2, 251-308 (2007). MSC: 37A05 37B05 PDF BibTeX XML Cite \textit{F. Béguin} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 2, 251--308 (2007; Zbl 1132.37003) Full Text: DOI Numdam EuDML
Fayad, Bassam; Saprykina, Maria Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary. (English) Zbl 1090.37001 Ann. Sci. Éc. Norm. Supér. (4) 38, No. 3, 339-364 (2005). Reviewer: Michael L. Blank (Nice) MSC: 37A05 37A25 37C05 37E45 37C40 37J10 PDF BibTeX XML Cite \textit{B. Fayad} and \textit{M. Saprykina}, Ann. Sci. Éc. Norm. Supér. (4) 38, No. 3, 339--364 (2005; Zbl 1090.37001) Full Text: DOI Numdam EuDML arXiv