Juul, Jamie Backward orbits of critical points. (English) Zbl 07794603 J. Number Theory 256, 23-36 (2024). MSC: 37P05 37P15 37P20 11R32 14G25 PDFBibTeX XMLCite \textit{J. Juul}, J. Number Theory 256, 23--36 (2024; Zbl 07794603) Full Text: DOI arXiv
Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Integrability and dynamics of the Poisson-Boltzmann equation in simple geometries. (English) Zbl 07793526 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107668, 18 p. (2024). MSC: 34A05 34C60 37J30 PDFBibTeX XMLCite \textit{K. Huang} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107668, 18 p. (2024; Zbl 07793526) Full Text: DOI
Doyle, John R.; Healey, Vivian Olsiewski; Hindes, Wade; Jones, Rafe Galois groups and prime divisors in random quadratic sequences. (English) Zbl 07783185 Math. Proc. Camb. Philos. Soc. 176, No. 1, 95-122 (2024). MSC: 11R32 37P15 11F80 11D99 PDFBibTeX XMLCite \textit{J. R. Doyle} et al., Math. Proc. Camb. Philos. Soc. 176, No. 1, 95--122 (2024; Zbl 07783185) Full Text: DOI arXiv
König, Joachim; Neftin, Danny; Rosenberg, Shai Polynomial compositions with large monodromy groups and applications to arithmetic dynamics. arXiv:2401.17872 Preprint, arXiv:2401.17872 [math.NT] (2024). MSC: 37P55 11G99 12F10 20B05 BibTeX Cite \textit{J. König} et al., ``Polynomial compositions with large monodromy groups and applications to arithmetic dynamics'', Preprint, arXiv:2401.17872 [math.NT] (2024) Full Text: arXiv OA License
Carney, Alexander; Hindes, Wade; Tucker, Thomas J. Isotriviality, integral points, and primitive primes in orbits in characteristic \(p\). (English) Zbl 07783159 Algebra Number Theory 17, No. 9, 1573-1594 (2023). MSC: 37P15 37P05 37P30 11G50 11R32 11D61 14G25 PDFBibTeX XMLCite \textit{A. Carney} et al., Algebra Number Theory 17, No. 9, 1573--1594 (2023; Zbl 07783159) Full Text: DOI
Huang, Kaiyin; Shi, Shaoyun; Yang, Shuangling Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application. (English) Zbl 1526.37069 Sci. China, Math. 66, No. 7, 1473-1494 (2023). MSC: 37J30 32H04 34C14 34M03 34M15 34M45 12H05 12H20 PDFBibTeX XMLCite \textit{K. Huang} et al., Sci. China, Math. 66, No. 7, 1473--1494 (2023; Zbl 1526.37069) Full Text: DOI arXiv
Sing, Mark O.-S. A dynamical analogue of Sen’s theorem. (English) Zbl 1528.11124 Int. Math. Res. Not. 2023, No. 9, 7502-7540 (2023). Reviewer: Kevin Keating (Gainesville) MSC: 11S15 11S82 11S20 37P20 37P05 PDFBibTeX XMLCite \textit{M. O. S. Sing}, Int. Math. Res. Not. 2023, No. 9, 7502--7540 (2023; Zbl 1528.11124) Full Text: DOI arXiv
Yagasaki, Kazuyuki Integrability of the Zakharov-Shabat systems by quadrature. (English) Zbl 1514.35417 Commun. Math. Phys. 400, No. 1, 315-340 (2023). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35Q53 37K10 37K15 35C08 34M50 34B09 PDFBibTeX XMLCite \textit{K. Yagasaki}, Commun. Math. Phys. 400, No. 1, 315--340 (2023; Zbl 1514.35417) Full Text: DOI arXiv
Hindes, Wade; Jacobs, Reiyah; Ye, Peter Irreducible polynomials in quadratic semigroups. (English) Zbl 1515.37109 J. Number Theory 248, 208-241 (2023). MSC: 37P15 11R09 37P05 PDFBibTeX XMLCite \textit{W. Hindes} et al., J. Number Theory 248, 208--241 (2023; Zbl 1515.37109) Full Text: DOI arXiv
Deré, Jonas; Witdouck, Thomas On closed manifolds admitting an Anosov diffeomorphism but no expanding map. (English) Zbl 1509.37036 J. Pure Appl. Algebra 227, No. 4, Article ID 107247, 26 p. (2023). MSC: 37D20 17B30 11R04 12F10 PDFBibTeX XMLCite \textit{J. Deré} and \textit{T. Witdouck}, J. Pure Appl. Algebra 227, No. 4, Article ID 107247, 26 p. (2023; Zbl 1509.37036) Full Text: DOI arXiv
Feiner, Alex Infinitely wildly ramified arboreal representations for postcritically finite polynomials with potential good reduction. arXiv:2310.09372 Preprint, arXiv:2310.09372 [math.NT] (2023). MSC: 11R32 37P20 37P50 BibTeX Cite \textit{A. Feiner}, ``Infinitely wildly ramified arboreal representations for postcritically finite polynomials with potential good reduction'', Preprint, arXiv:2310.09372 [math.NT] (2023) Full Text: arXiv OA License
Ejder, Ozlem; Kara, Yasemin; Ozman, Ekin Iterated Monodromy Group of a PCF Quadratic Non-polynomial Map. arXiv:2308.14867 Preprint, arXiv:2308.14867 [math.NT] (2023). MSC: 11G32 12F10 37P05 37P15 BibTeX Cite \textit{O. Ejder} et al., ``Iterated Monodromy Group of a PCF Quadratic Non-polynomial Map'', Preprint, arXiv:2308.14867 [math.NT] (2023) Full Text: arXiv OA License
Xu, Taiyang; Yang, Yiling; Zhang, Lun Transient asymptotics of the modified Camassa-Holm equation. arXiv:2308.06950 Preprint, arXiv:2308.06950 [math.AP] (2023). MSC: 35Q53 37K15 34M50 35Q15 35B40 37K40 33E17 34M55 BibTeX Cite \textit{T. Xu} et al., ``Transient asymptotics of the modified Camassa-Holm equation'', Preprint, arXiv:2308.06950 [math.AP] (2023) Full Text: arXiv OA License
Benedetto, Robert L.; Dietrich, Anna Arboreal Galois groups for quadratic rational functions with colliding critical points. arXiv:2307.16284 Preprint, arXiv:2307.16284 [math.NT] (2023). MSC: 37P05 11R32 14G25 BibTeX Cite \textit{R. L. Benedetto} and \textit{A. Dietrich}, ``Arboreal Galois groups for quadratic rational functions with colliding critical points'', Preprint, arXiv:2307.16284 [math.NT] (2023) Full Text: arXiv OA License
Goksel, Vefa A local-global conjugacy question arising from arithmetic dynamics. arXiv:2303.10715 Preprint, arXiv:2303.10715 [math.NT] (2023). MSC: 11R32 12E05 20E08 37P15 BibTeX Cite \textit{V. Goksel}, ``A local-global conjugacy question arising from arithmetic dynamics'', Preprint, arXiv:2303.10715 [math.NT] (2023) Full Text: arXiv OA License
Krumm, David; Lacy, Allan Dynatomic Galois groups for a family of quadratic rational maps. arXiv:2303.05632 Preprint, arXiv:2303.05632 [math.NT] (2023). MSC: 37P05 11S20 11G30 BibTeX Cite \textit{D. Krumm} and \textit{A. Lacy}, ``Dynatomic Galois groups for a family of quadratic rational maps'', Preprint, arXiv:2303.05632 [math.NT] (2023) Full Text: arXiv OA License
Ejder, Özlem Arithmetic monodromy groups of dynamical Belyi maps. (English) Zbl 1506.11096 Anni, Samuele (ed.) et al., Arithmetic, geometry, cryptography, and coding theory, AGC2T. 18th international conference, Centre International de Rencontres Mathématiques, Marseille, France, May 31 – June 4, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 779, 91-102 (2022). MSC: 11G32 12F10 37P05 37P15 PDFBibTeX XMLCite \textit{Ö. Ejder}, Contemp. Math. 779, 91--102 (2022; Zbl 1506.11096) Full Text: DOI arXiv
Ahmad, Faseeh; Benedetto, Robert L.; Cain, Jennifer; Carroll, Gregory; Fang, Lily The arithmetic basilica: a quadratic PCF arboreal Galois group. (English) Zbl 1503.37099 J. Number Theory 238, 842-868 (2022). MSC: 37P05 37P55 11R32 14G25 PDFBibTeX XMLCite \textit{F. Ahmad} et al., J. Number Theory 238, 842--868 (2022; Zbl 1503.37099) Full Text: DOI arXiv
Garton, Derek Periodic points of polynomials over finite fields. (English) Zbl 1506.37120 Trans. Am. Math. Soc. 375, No. 7, 4849-4871 (2022). Reviewer: Manjit Singh (Murthal) MSC: 37P35 37P05 37P25 11T06 11R32 13B05 PDFBibTeX XMLCite \textit{D. Garton}, Trans. Am. Math. Soc. 375, No. 7, 4849--4871 (2022; Zbl 1506.37120) Full Text: DOI arXiv
Cortez, María Isabel; Lukina, Olga Settled elements in profinite groups. (English) Zbl 1528.37080 Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022). Reviewer: Lingmin Liao (Créteil) MSC: 37P05 37P15 37E25 20E18 20E08 20E28 22B05 37F10 37B05 11R09 11R32 22A05 20E22 PDFBibTeX XMLCite \textit{M. I. Cortez} and \textit{O. Lukina}, Adv. Math. 404, Part B, Article ID 108424, 56 p. (2022; Zbl 1528.37080) Full Text: DOI arXiv
Tomašić, Ivan; Wibmer, Michael Difference Galois theory and dynamics. (English) Zbl 1497.12005 Adv. Math. 402, Article ID 108328, 61 p. (2022). Reviewer: Andy R. Magid (Norman) MSC: 12H10 18B25 18E50 37B10 22A22 13B05 PDFBibTeX XMLCite \textit{I. Tomašić} and \textit{M. Wibmer}, Adv. Math. 402, Article ID 108328, 61 p. (2022; Zbl 1497.12005) Full Text: DOI arXiv
Boxall, Gareth; Jones, Gareth A.; Schmidt, Harry Rational values of transcendental functions and arithmetic dynamics. (English) Zbl 1503.37100 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567-1592 (2022). Reviewer: Wade Hindes (San Marcos) MSC: 37P05 37P30 37F10 37F15 11G50 11R09 30D35 PDFBibTeX XMLCite \textit{G. Boxall} et al., J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567--1592 (2022; Zbl 1503.37100) Full Text: DOI arXiv
Hu, Gang A (Galois) theory for a generalized morphism. arXiv:2206.14361 Preprint, arXiv:2206.14361 [math.RA] (2022). MSC: 08A35 06A15 12H05 37-02 54-02 18A99 12F10 13B05 12F20 20B25 20B27 BibTeX Cite \textit{G. Hu}, ``A (Galois) theory for a generalized morphism'', Preprint, arXiv:2206.14361 [math.RA] (2022) Full Text: arXiv OA License
Garton, Derek Periodic points of rational functions of large degree over finite fields. arXiv:2208.13281 Preprint, arXiv:2208.13281 [math.NT] (2022). MSC: 37P05 37P25 37P35 11T06 13B05 BibTeX Cite \textit{D. Garton}, ``Periodic points of rational functions of large degree over finite fields'', Preprint, arXiv:2208.13281 [math.NT] (2022) Full Text: arXiv OA License
Zhang, Robin A Galois-dynamics correspondence for unicritical polynomials. (English) Zbl 1485.37092 Arnold Math. J. 7, No. 3, 467-481 (2021). MSC: 37P05 37P35 11S15 12F10 PDFBibTeX XMLCite \textit{R. Zhang}, Arnold Math. J. 7, No. 3, 467--481 (2021; Zbl 1485.37092) Full Text: DOI arXiv
Shibayama, Mitsuru; Yamada, Junji Nonintegrability of the reduced planar three-body problem with generalized force. (English) Zbl 1484.70021 Regul. Chaotic Dyn. 26, No. 4, 439-455 (2021). Reviewer: Sergi Simon (Portsmouth) MSC: 70H07 70F07 37J30 34M15 PDFBibTeX XMLCite \textit{M. Shibayama} and \textit{J. Yamada}, Regul. Chaotic Dyn. 26, No. 4, 439--455 (2021; Zbl 1484.70021) Full Text: DOI
Stachowiak, Tomasz; Maciejewski, Andrzej J. Non-integrability of the Kepler and the two-body problems on the Heisenberg group. (English) Zbl 1489.37073 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 074, 12 p. (2021). Reviewer: Huang Kaiyin (Singapur) MSC: 37J30 37J35 37N05 70F05 70H07 70G45 53C17 12H20 PDFBibTeX XMLCite \textit{T. Stachowiak} and \textit{A. J. Maciejewski}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 074, 12 p. (2021; Zbl 1489.37073) Full Text: DOI arXiv
Novokshenov, Viktor Yur’evich Discrete Riemann-Hilbert problem and interpolation of entire functions. (Russian. English translation) Zbl 1488.30180 Ufim. Mat. Zh. 13, No. 2, 74-85 (2021); translation in Ufa Math. J. 13, No. 2, 70-80 (2021). MSC: 30D30 30E10 33C10 33E17 34M50 37K60 PDFBibTeX XMLCite \textit{V. Y. Novokshenov}, Ufim. Mat. Zh. 13, No. 2, 74--85 (2021; Zbl 1488.30180); translation in Ufa Math. J. 13, No. 2, 70--80 (2021) Full Text: DOI MNR
Hindes, Wade Dynamical height growth: left, right, and total orbits. (English) Zbl 1480.11085 Pac. J. Math. 311, No. 2, 329-367 (2021). MSC: 11G50 37A50 37P15 11R32 PDFBibTeX XMLCite \textit{W. Hindes}, Pac. J. Math. 311, No. 2, 329--367 (2021; Zbl 1480.11085) Full Text: DOI arXiv
Juul, Jamie The image size of iterated rational maps over finite fields. (English) Zbl 1477.37103 Int. Math. Res. Not. 2021, No. 5, 3362-3388 (2021). MSC: 37P05 37P15 11R45 14E05 11S20 PDFBibTeX XMLCite \textit{J. Juul}, Int. Math. Res. Not. 2021, No. 5, 3362--3388 (2021; Zbl 1477.37103) Full Text: DOI arXiv
Li, Hua-Chieh On Stoll’s criterion for the maximality of quadratic arboreal Galois representations. (English) Zbl 1481.37110 Arch. Math. 117, No. 2, 133-140 (2021). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 37P05 11R32 11A07 11R09 PDFBibTeX XMLCite \textit{H.-C. Li}, Arch. Math. 117, No. 2, 133--140 (2021; Zbl 1481.37110) Full Text: DOI
Joshi, Nalini; Roffelsen, Pieter On the Riemann-Hilbert problem for a \(q\)-difference Painlevé equation. (English) Zbl 1476.39004 Commun. Math. Phys. 384, No. 1, 549-585 (2021). Reviewer: Nouressadat Touafek (Jijel) MSC: 39A12 34M50 34M55 39A13 39A36 37F34 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{P. Roffelsen}, Commun. Math. Phys. 384, No. 1, 549--585 (2021; Zbl 1476.39004) Full Text: DOI arXiv
Bouw, Irene I.; Ejder, Özlem; Karemaker, Valentijn Dynamical Belyi maps and arboreal Galois groups. (English) Zbl 1470.11178 Manuscr. Math. 165, No. 1-2, 1-34 (2021). MSC: 11G32 12F10 37P05 37P15 PDFBibTeX XMLCite \textit{I. I. Bouw} et al., Manuscr. Math. 165, No. 1--2, 1--34 (2021; Zbl 1470.11178) Full Text: DOI arXiv
Lukina, Olga Galois groups and Cantor actions. (English) Zbl 1464.37012 Trans. Am. Math. Soc. 374, No. 3, 1579-1621 (2021). MSC: 37B02 37B05 37P05 37C85 20E08 12F10 22A22 20E18 11R09 11R32 PDFBibTeX XMLCite \textit{O. Lukina}, Trans. Am. Math. Soc. 374, No. 3, 1579--1621 (2021; Zbl 1464.37012) Full Text: DOI arXiv
Bray, Harrison; Davis, Diana; Lindsey, Kathryn; Wu, Chenxi The shape of Thurston’s master teapot. (English) Zbl 1464.37046 Adv. Math. 377, Article ID 107481, 33 p. (2021). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37E15 37F20 37F10 PDFBibTeX XMLCite \textit{H. Bray} et al., Adv. Math. 377, Article ID 107481, 33 p. (2021; Zbl 1464.37046) Full Text: DOI arXiv
Bridy, Andrew; Doyle, John R.; Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. Finite index theorems for iterated Galois groups of unicritical polynomials. (English) Zbl 1457.37114 Trans. Am. Math. Soc. 374, No. 1, 733-752 (2021). MSC: 37P15 37P05 37P30 11G50 11R32 14G25 PDFBibTeX XMLCite \textit{A. Bridy} et al., Trans. Am. Math. Soc. 374, No. 1, 733--752 (2021; Zbl 1457.37114) Full Text: DOI arXiv
Bridy, Andrew; Jones, Rafe; Kelsey, Gregory; Lodge, Russell Iterated monodromy groups of rational functions and periodic points over finite fields. arXiv:2107.10310 Preprint, arXiv:2107.10310 [math.NT] (2021). MSC: 37P25 37F10 11R32 37P05 BibTeX Cite \textit{A. Bridy} et al., ``Iterated monodromy groups of rational functions and periodic points over finite fields'', Preprint, arXiv:2107.10310 [math.NT] (2021) Full Text: arXiv OA License
Carney, Alexander; Hindes, Wade; Tucker, Thomas J. Integral points in orbits in characteristic \(p\). arXiv:2108.03123 Preprint, arXiv:2108.03123 [math.NT] (2021). MSC: 37P15 11G50 11R32 14G25 37P05 37P30 BibTeX Cite \textit{A. Carney} et al., ``Integral points in orbits in characteristic $p$'', Preprint, arXiv:2108.03123 [math.NT] (2021) Full Text: DOI arXiv OA License
Pagano, Carlo The size of arboreal images, I: exponential lower bounds for PCF and unicritical polynomials. arXiv:2104.11175 Preprint, arXiv:2104.11175 [math.NT] (2021). MSC: 37P55 11R32 BibTeX Cite \textit{C. Pagano}, ``The size of arboreal images, I: exponential lower bounds for PCF and unicritical polynomials'', Preprint, arXiv:2104.11175 [math.NT] (2021) Full Text: arXiv OA License
Bridy, Andrew; Doyle, John R.; Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. A question for iterated Galois groups in arithmetic dynamics. (English) Zbl 1475.37111 Can. Math. Bull. 64, No. 2, 401-417 (2021). MSC: 37P15 11G50 11R32 14G25 37P05 37P30 PDFBibTeX XMLCite \textit{A. Bridy} et al., Can. Math. Bull. 64, No. 2, 401--417 (2020; Zbl 1475.37111) Full Text: DOI arXiv
Krupiński, Krzysztof; Rzepecki, Tomasz Galois groups as quotients of Polish groups. (English) Zbl 1486.03061 J. Math. Log. 20, No. 3, Article ID 2050018, 48 p. (2020). MSC: 03C45 03C60 37B02 22C05 03E15 54H11 PDFBibTeX XMLCite \textit{K. Krupiński} and \textit{T. Rzepecki}, J. Math. Log. 20, No. 3, Article ID 2050018, 48 p. (2020; Zbl 1486.03061) Full Text: DOI arXiv
Ferraguti, Andrea; Pagano, Carlo Constraining images of quadratic arboreal representations. (English) Zbl 1465.11219 Int. Math. Res. Not. 2020, No. 22, 8486-8510 (2020). MSC: 11R32 37P05 PDFBibTeX XMLCite \textit{A. Ferraguti} and \textit{C. Pagano}, Int. Math. Res. Not. 2020, No. 22, 8486--8510 (2020; Zbl 1465.11219) Full Text: DOI arXiv Link
Ferraguti, Andrea; Micheli, Giacomo An equivariant isomorphism theorem for mod \(\mathfrak{p}\) reductions of arboreal Galois representations. (English) Zbl 1464.37091 Trans. Am. Math. Soc. 373, No. 12, 8525-8542 (2020). Reviewer: Andrej Dujella (Zagreb) MSC: 37P05 37P15 11G05 11R32 20E08 PDFBibTeX XMLCite \textit{A. Ferraguti} and \textit{G. Micheli}, Trans. Am. Math. Soc. 373, No. 12, 8525--8542 (2020; Zbl 1464.37091) Full Text: DOI arXiv
Elmandouh, A. A. On the integrability of new examples of two-dimensional Hamiltonian systems in curved spaces. (English) Zbl 1490.37077 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105368, 11 p. (2020). MSC: 37J35 37J30 37J39 12H05 PDFBibTeX XMLCite \textit{A. A. Elmandouh}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105368, 11 p. (2020; Zbl 1490.37077) Full Text: DOI
Szumiński, Wojciech; Woźniak, Dariusz Dynamics and integrability analysis of two pendulums coupled by a spring. (English) Zbl 1465.70061 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105099, 16 p. (2020). MSC: 70H07 37J30 PDFBibTeX XMLCite \textit{W. Szumiński} and \textit{D. Woźniak}, Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105099, 16 p. (2020; Zbl 1465.70061) Full Text: DOI
Andrews, Jesse; Petsche, Clayton Abelian extensions in dynamical Galois theory. (English) Zbl 1465.11218 Algebra Number Theory 14, No. 7, 1981-1999 (2020). MSC: 11R32 11G50 11R18 37P30 PDFBibTeX XMLCite \textit{J. Andrews} and \textit{C. Petsche}, Algebra Number Theory 14, No. 7, 1981--1999 (2020; Zbl 1465.11218) Full Text: DOI arXiv
Berger, Laurent Rigidity and unlikely intersections for formal groups. (English) Zbl 1519.11066 Acta Arith. 195, No. 3, 305-312 (2020). Reviewer: Matthew Schmidt (Allegany) MSC: 11S31 11F80 11S82 13J05 37P35 PDFBibTeX XMLCite \textit{L. Berger}, Acta Arith. 195, No. 3, 305--312 (2020; Zbl 1519.11066) Full Text: DOI arXiv
Looper, Nicole R. The \(ABC\)-conjecture implies uniform bounds on dynamical Zsigmondy sets. (English) Zbl 1458.11107 Trans. Am. Math. Soc. 373, No. 7, 4627-4647 (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11G50 11R32 37P15 14G05 37P45 PDFBibTeX XMLCite \textit{N. R. Looper}, Trans. Am. Math. Soc. 373, No. 7, 4627--4647 (2020; Zbl 1458.11107) Full Text: DOI arXiv
Demark, David; Hindes, Wade; Jones, Rafe; Misplon, Moses; Stoll, Michael; Stoneman, Michael Eventually stable quadratic polynomials over \(\mathbb{Q}\). (English) Zbl 1446.37100 New York J. Math. 26, 526-561 (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 37P15 11R09 37P05 12E05 11R32 11R45 PDFBibTeX XMLCite \textit{D. Demark} et al., New York J. Math. 26, 526--561 (2020; Zbl 1446.37100) Full Text: arXiv Link
Maciejewski, Andrzej J.; Przybylska, Maria Integrability analysis of the stretch-twist-fold flow. (English) Zbl 1445.37038 J. Nonlinear Sci. 30, No. 4, 1607-1649 (2020). MSC: 37J30 37J35 34M15 76W05 76D07 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, J. Nonlinear Sci. 30, No. 4, 1607--1649 (2020; Zbl 1445.37038) Full Text: DOI
Castillo, Marianela; Vidaux, Xavier; Videla, Carlos Julia Robinson numbers and arithmetical dynamic of quadratic polynomials. (English) Zbl 1458.11152 Indiana Univ. Math. J. 69, No. 3, 873-885 (2020). Reviewer: Lawrence C. Washington (College Park) MSC: 11R04 11R32 11R80 37P05 11R09 11R11 PDFBibTeX XMLCite \textit{M. Castillo} et al., Indiana Univ. Math. J. 69, No. 3, 873--885 (2020; Zbl 1458.11152) Full Text: DOI arXiv
Andrade, Jaime; Boatto, Stefanella; Combot, Thierry; Duarte, Gladston; Stuchi, Teresinha J. \(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics. (English) Zbl 1454.37055 Regul. Chaotic Dyn. 25, No. 1, 78-110 (2020). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 37J30 37J25 53Z05 70G60 70H05 70F10 PDFBibTeX XMLCite \textit{J. Andrade} et al., Regul. Chaotic Dyn. 25, No. 1, 78--110 (2020; Zbl 1454.37055) Full Text: DOI
Charlier, Christophe; Claeys, Tom Large gap asymptotics for Airy kernel determinants with discontinuities. (English) Zbl 1475.37014 Commun. Math. Phys. 375, No. 2, 1299-1339 (2020). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 37A50 15B52 15A15 60B20 60G55 34M50 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{T. Claeys}, Commun. Math. Phys. 375, No. 2, 1299--1339 (2020; Zbl 1475.37014) Full Text: DOI arXiv
Combot, Thierry; Maciejewski, Andrzej J.; Przybylska, Maria Bi-homogeneity and integrability of rational potentials. (English) Zbl 1461.37059 J. Differ. Equations 268, No. 11, 7012-7028 (2020). Reviewer: Manuel de León (Madrid) MSC: 37J35 37J30 PDFBibTeX XMLCite \textit{T. Combot} et al., J. Differ. Equations 268, No. 11, 7012--7028 (2020; Zbl 1461.37059) Full Text: DOI
Hindes, Wade; Jones, Rafe Riccati equations and polynomial dynamics over function fields. (English) Zbl 1457.11153 Trans. Am. Math. Soc. 373, No. 3, 1555-1575 (2020). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11R32 37P15 14G05 PDFBibTeX XMLCite \textit{W. Hindes} and \textit{R. Jones}, Trans. Am. Math. Soc. 373, No. 3, 1555--1575 (2020; Zbl 1457.11153) Full Text: DOI arXiv
Li, Hua-Chieh Arboreal Galois representation for a certain type of quadratic polynomials. (English) Zbl 1435.37108 Arch. Math. 114, No. 3, 265-269 (2020). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11R32 11A07 37P05 PDFBibTeX XMLCite \textit{H.-C. Li}, Arch. Math. 114, No. 3, 265--269 (2020; Zbl 1435.37108) Full Text: DOI
Kadets, Borys Large arboreal Galois representations. (English) Zbl 1468.11228 J. Number Theory 210, 416-430 (2020). MSC: 11R32 11F80 37P05 PDFBibTeX XMLCite \textit{B. Kadets}, J. Number Theory 210, 416--430 (2020; Zbl 1468.11228) Full Text: DOI arXiv
Juul, Jamie; Krieger, Holly; Looper, Nicole; Manes, Michelle; Thompson, Bianca; Walton, Laura Arboreal representations for rational maps with few critical points. (English) Zbl 1436.11135 Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 133-151 (2019). MSC: 11R32 37P05 11F80 37P25 11R45 PDFBibTeX XMLCite \textit{J. Juul} et al., Assoc. Women Math. Ser. 19, 133--151 (2019; Zbl 1436.11135) Full Text: DOI arXiv
Bibikov, P. V. On classification of polynomial Hamiltonians with nondegenerate linearly stable singular point. (English. Russian original) Zbl 1430.37061 Russ. Math. 63, No. 1, 76-78 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 86-88 (2019). MSC: 37J25 37J11 37J40 PDFBibTeX XMLCite \textit{P. V. Bibikov}, Russ. Math. 63, No. 1, 76--78 (2019; Zbl 1430.37061); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 1, 86--88 (2019) Full Text: DOI
Yagasaki, Kazuyuki; Yamanaka, Shogo Heteroclinic orbits and nonintegrability in two-degree-of-freedom Hamiltonian systems with saddle-centers. (English) Zbl 1436.37066 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J30 37J46 34C28 37C29 37J25 70K55 37M20 PDFBibTeX XMLCite \textit{K. Yagasaki} and \textit{S. Yamanaka}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 049, 17 p. (2019; Zbl 1436.37066) Full Text: DOI arXiv
Jiménez, Sonia; Morales-Ruiz, Juan J.; Sánchez-Cauce, Raquel; Zurro, María-Ángeles Rational KdV potentials and differential Galois theory. (English) Zbl 1511.12001 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 047, 40 p. (2019). MSC: 12H05 35Q51 37K10 PDFBibTeX XMLCite \textit{S. Jiménez} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 047, 40 p. (2019; Zbl 1511.12001) Full Text: DOI arXiv
Goksel, Vefa Markov processes and some PCF quadratic polynomials. (English) Zbl 1470.11292 Res. Number Theory 5, No. 3, Paper No. 29, 50 p. (2019). MSC: 11R32 12E05 20E08 37P15 PDFBibTeX XMLCite \textit{V. Goksel}, Res. Number Theory 5, No. 3, Paper No. 29, 50 p. (2019; Zbl 1470.11292) Full Text: DOI arXiv
Looper, Nicole Dynamical Galois groups of trinomials and Odoni’s conjecture. (English) Zbl 1462.11103 Bull. Lond. Math. Soc. 51, No. 2, 278-292 (2019). MSC: 11R32 37P15 14G05 11D45 PDFBibTeX XMLCite \textit{N. Looper}, Bull. Lond. Math. Soc. 51, No. 2, 278--292 (2019; Zbl 1462.11103) Full Text: DOI arXiv
Benedetto, Robert L.; Juul, Jamie Odoni’s conjecture for number fields. (English) Zbl 1470.11289 Bull. Lond. Math. Soc. 51, No. 2, 237-250 (2019). MSC: 11R32 37P05 14G25 PDFBibTeX XMLCite \textit{R. L. Benedetto} and \textit{J. Juul}, Bull. Lond. Math. Soc. 51, No. 2, 237--250 (2019; Zbl 1470.11289) Full Text: DOI arXiv
Lukina, Olga Arboreal Cantor actions. (English) Zbl 1453.37013 J. Lond. Math. Soc., II. Ser. 99, No. 3, 678-706 (2019). MSC: 37B05 37C85 11S20 20E08 37P05 37P20 PDFBibTeX XMLCite \textit{O. Lukina}, J. Lond. Math. Soc., II. Ser. 99, No. 3, 678--706 (2019; Zbl 1453.37013) Full Text: DOI arXiv
Krumm, David A finiteness theorem for specializations of dynatomic polynomials. (English) Zbl 1442.37121 Algebra Number Theory 13, No. 4, 963-993 (2019). MSC: 37P05 37P35 11S15 PDFBibTeX XMLCite \textit{D. Krumm}, Algebra Number Theory 13, No. 4, 963--993 (2019; Zbl 1442.37121) Full Text: DOI arXiv
Bridy, Andrew; Tucker, Thomas J. Finite index theorems for iterated Galois groups of cubic polynomials. (English) Zbl 1476.37113 Math. Ann. 373, No. 1-2, 37-72 (2019). MSC: 37P15 37P05 37P30 11G50 11R32 14G25 PDFBibTeX XMLCite \textit{A. Bridy} and \textit{T. J. Tucker}, Math. Ann. 373, No. 1--2, 37--72 (2019; Zbl 1476.37113) Full Text: DOI arXiv
Juul, J. Iterates of generic polynomials and generic rational functions. (English) Zbl 1442.37120 Trans. Am. Math. Soc. 371, No. 2, 809-831 (2019). MSC: 37P05 11G35 14G25 11R45 12F10 12E05 PDFBibTeX XMLCite \textit{J. Juul}, Trans. Am. Math. Soc. 371, No. 2, 809--831 (2019; Zbl 1442.37120) Full Text: DOI arXiv
Szumiński, Wojciech Integrability analysis of natural Hamiltonian systems in curved spaces. (English) Zbl 1509.37075 Commun. Nonlinear Sci. Numer. Simul. 64, 246-255 (2018). MSC: 37J35 37J39 70H06 PDFBibTeX XMLCite \textit{W. Szumiński}, Commun. Nonlinear Sci. Numer. Simul. 64, 246--255 (2018; Zbl 1509.37075) Full Text: DOI
Szumiński, Wojciech Integrability analysis of chaotic and hyperchaotic finance systems. (English) Zbl 1412.91240 Nonlinear Dyn. 94, No. 1, 443-459 (2018). MSC: 91G80 37N40 37J30 37D45 PDFBibTeX XMLCite \textit{W. Szumiński}, Nonlinear Dyn. 94, No. 1, 443--459 (2018; Zbl 1412.91240) Full Text: DOI
Richard, Rodolphe Galois ultrametric distribution of an isogeny class of elliptic curves: the case of bad reduction. An application to local heights. (Répartition galoisienne ultramétrique d’une classe d’isogénie de courbes elliptiques: le cas de la mauvaise réduction. Application aux hauteurs locales.) (French. English summary) Zbl 1450.11054 J. Théor. Nombres Bordx. 30, No. 1, 1-18 (2018). MSC: 11G05 37P50 11S40 14G40 11F32 PDFBibTeX XMLCite \textit{R. Richard}, J. Théor. Nombres Bordx. 30, No. 1, 1--18 (2018; Zbl 1450.11054) Full Text: DOI
Pakovich, F. Semiconjugate rational functions: a dynamical approach. (English) Zbl 1442.37063 Arnold Math. J. 4, No. 1, 59-68 (2018). MSC: 37F10 12F10 30D30 37C15 PDFBibTeX XMLCite \textit{F. Pakovich}, Arnold Math. J. 4, No. 1, 59--68 (2018; Zbl 1442.37063) Full Text: DOI arXiv
Hidalgo, Rubén A. On the minimal field of definition of rational maps: rational maps of odd signature. (English) Zbl 1398.37098 Ann. Acad. Sci. Fenn., Math. 43, No. 2, 685-692 (2018). MSC: 37P05 37F10 14G05 11R32 PDFBibTeX XMLCite \textit{R. A. Hidalgo}, Ann. Acad. Sci. Fenn., Math. 43, No. 2, 685--692 (2018; Zbl 1398.37098) Full Text: Link
Elmandouh, A. A. On the integrability of 2D Hamiltonian systems with variable Gaussian curvature. (English) Zbl 1398.37050 Nonlinear Dyn. 93, No. 2, 933-943 (2018). MSC: 37J30 37J35 PDFBibTeX XMLCite \textit{A. A. Elmandouh}, Nonlinear Dyn. 93, No. 2, 933--943 (2018; Zbl 1398.37050) Full Text: DOI
Motonaga, Shoya; Yagasaki, Kazuyuki Nonintegrability of parametrically forced nonlinear oscillators. (English) Zbl 1402.37068 Regul. Chaotic Dyn. 23, No. 3, 291-303 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 37J30 34C15 70K40 PDFBibTeX XMLCite \textit{S. Motonaga} and \textit{K. Yagasaki}, Regul. Chaotic Dyn. 23, No. 3, 291--303 (2018; Zbl 1402.37068) Full Text: DOI
Ingram, Patrick \(p\)-adic uniformization and the action of Galois on certain affine correspondences. (English) Zbl 1435.37109 Can. Math. Bull. 61, No. 3, 531-542 (2018). MSC: 37P20 11S20 37F05 PDFBibTeX XMLCite \textit{P. Ingram}, Can. Math. Bull. 61, No. 3, 531--542 (2018; Zbl 1435.37109) Full Text: DOI arXiv
Orieux, M.; Caillau, J.-B.; Combot, T.; Féjoz, J. Non-integrability of the minimum-time Kepler problem. (English) Zbl 1407.70025 J. Geom. Phys. 132, 452-459 (2018). MSC: 70H07 37J30 12H05 34M45 70F07 49K15 PDFBibTeX XMLCite \textit{M. Orieux} et al., J. Geom. Phys. 132, 452--459 (2018; Zbl 1407.70025) Full Text: DOI arXiv
Juul, Jamie Fixed point proportions for Galois groups of non-geometric iterated extensions. (English) Zbl 1395.37065 Acta Arith. 183, No. 4, 301-315 (2018). MSC: 37P05 11R32 14G25 PDFBibTeX XMLCite \textit{J. Juul}, Acta Arith. 183, No. 4, 301--315 (2018; Zbl 1395.37065) Full Text: DOI arXiv
Lobanov, M. S.; Ryzhikov, V. V. Special weak limits and simple spectrum of the tensor products of flows. (English. Russian original) Zbl 1394.37006 Sb. Math. 209, No. 5, 660-671 (2018); translation from Mat. Sb. 209, No. 5, 62-73 (2018). MSC: 37A10 37A25 37A30 PDFBibTeX XMLCite \textit{M. S. Lobanov} and \textit{V. V. Ryzhikov}, Sb. Math. 209, No. 5, 660--671 (2018; Zbl 1394.37006); translation from Mat. Sb. 209, No. 5, 62--73 (2018) Full Text: DOI
Guo, Boling; Liu, Nan Long-time asymptotics for the Kundu-Eckhaus equation on the half-line. (English) Zbl 1398.37061 J. Math. Phys. 59, No. 6, 061505, 19 p. (2018). Reviewer: Arsen Melikyan (Brasília) MSC: 37K10 37K15 37K40 34M50 35Q15 PDFBibTeX XMLCite \textit{B. Guo} and \textit{N. Liu}, J. Math. Phys. 59, No. 6, 061505, 19 p. (2018; Zbl 1398.37061) Full Text: DOI
Hindes, Wade Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map. (English) Zbl 1394.37130 Trans. Am. Math. Soc. 370, No. 9, 6391-6410 (2018). Reviewer: Franco Vivaldi (London) MSC: 37P15 11R32 11B37 14G05 PDFBibTeX XMLCite \textit{W. Hindes}, Trans. Am. Math. Soc. 370, No. 9, 6391--6410 (2018; Zbl 1394.37130) Full Text: DOI arXiv
Hindes, Wade Classifying Galois groups of small iterates via rational points. (English) Zbl 1441.11281 Int. J. Number Theory 14, No. 5, 1403-1426 (2018). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R32 11G30 14G05 37P15 PDFBibTeX XMLCite \textit{W. Hindes}, Int. J. Number Theory 14, No. 5, 1403--1426 (2018; Zbl 1441.11281) Full Text: DOI arXiv
Acosta-Humánez, P.; Alvarez-Ramírez, M.; Stuchi, T. J. Nonintegrability of the Armbruster-Guckenheimer-Kim quartic Hamiltonian through Morales-Ramis theory. (English) Zbl 1384.37069 SIAM J. Appl. Dyn. Syst. 17, No. 1, 78-96 (2018). MSC: 37J30 70H06 12H05 37J35 PDFBibTeX XMLCite \textit{P. Acosta-Humánez} et al., SIAM J. Appl. Dyn. Syst. 17, No. 1, 78--96 (2018; Zbl 1384.37069) Full Text: DOI arXiv
Hindes, Wade Galois groups of some iterated polynomials over cyclotomic extensions. (English) Zbl 1441.11280 Arch. Math. 110, No. 2, 109-113 (2018). MSC: 11R32 37P15 PDFBibTeX XMLCite \textit{W. Hindes}, Arch. Math. 110, No. 2, 109--113 (2018; Zbl 1441.11280) Full Text: DOI arXiv
Combot, Thierry Higher variational equation techniques for the integrability of homogeneous potentials. (English) Zbl 1420.37046 Bergounioux, Maïtine (ed.) et al., Variational methods. In imaging and geometric control. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 18, 365-386 (2017). MSC: 37J45 37J35 70H30 70G75 70F10 PDFBibTeX XMLCite \textit{T. Combot}, Radon Ser. Comput. Appl. Math. 18, 365--386 (2017; Zbl 1420.37046)
Combot, Thierry Rational integrability of trigonometric polynomial potentials on the flat torus. (English) Zbl 1385.37073 Regul. Chaotic Dyn. 22, No. 4, 386-407 (2017). MSC: 37J35 37J30 34M50 PDFBibTeX XMLCite \textit{T. Combot}, Regul. Chaotic Dyn. 22, No. 4, 386--407 (2017; Zbl 1385.37073) Full Text: DOI arXiv
Zelikin, M. I.; Lokutsievskii, L. V.; Hildebrand, R. Typicality of chaotic fractal behavior of integral vortices in Hamiltonian systems with discontinuous right hand side. (English. Russian original) Zbl 1385.49024 J. Math. Sci., New York 221, No. 1, 1-136 (2017); translation from Sovrem. Mat., Fundam. Napravl. 56 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 49N10 37D45 37K05 PDFBibTeX XMLCite \textit{M. I. Zelikin} et al., J. Math. Sci., New York 221, No. 1, 1--136 (2017; Zbl 1385.49024); translation from Sovrem. Mat., Fundam. Napravl. 56 (2015) Full Text: DOI arXiv
Bush, Michael R.; Hindes, Wade; Looper, Nicole R. Galois groups of iterates of some unicritical polynomials. (English) Zbl 1444.11223 Acta Arith. 181, No. 1, 57-73 (2017). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R32 37P15 14G05 PDFBibTeX XMLCite \textit{M. R. Bush} et al., Acta Arith. 181, No. 1, 57--73 (2017; Zbl 1444.11223) Full Text: DOI arXiv
Jones, Rafe; Levy, Alon Eventually stable rational functions. (English) Zbl 1391.37072 Int. J. Number Theory 13, No. 9, 2299-2318 (2017). MSC: 37P05 37P15 11R32 12E05 37P25 11S82 PDFBibTeX XMLCite \textit{R. Jones} and \textit{A. Levy}, Int. J. Number Theory 13, No. 9, 2299--2318 (2017; Zbl 1391.37072) Full Text: DOI arXiv
Maciejewski, Andrzej J.; Przybylska, Maria; Szumiński, Wojciech Anisotropic Kepler and anisotropic two fixed centres problems. (English) Zbl 1374.70044 Celest. Mech. Dyn. Astron. 127, No. 2, 163-184 (2017). MSC: 70H06 70F05 70F15 70H07 37B30 PDFBibTeX XMLCite \textit{A. J. Maciejewski} et al., Celest. Mech. Dyn. Astron. 127, No. 2, 163--184 (2017; Zbl 1374.70044) Full Text: DOI
Bridy, Andrew; Garton, Derek Dynamically distinguishing polynomials. (English) Zbl 1391.37064 Res. Math. Sci. 4, Paper No. 13, 17 p. (2017). MSC: 37P05 37P25 11R32 20B35 PDFBibTeX XMLCite \textit{A. Bridy} and \textit{D. Garton}, Res. Math. Sci. 4, Paper No. 13, 17 p. (2017; Zbl 1391.37064) Full Text: DOI arXiv Link
Maciejewski, Andrzej J.; Szumiński, Wojciech; Przybylska, Maria Note on integrability of certain homogeneous Hamiltonian systems in 2D constant curvature spaces. (English) Zbl 1371.37112 Phys. Lett., A 381, No. 7, 725-732 (2017). MSC: 37J30 37K10 PDFBibTeX XMLCite \textit{A. J. Maciejewski} et al., Phys. Lett., A 381, No. 7, 725--732 (2017; Zbl 1371.37112) Full Text: DOI arXiv
Fordy, Allan P. A note on some superintegrable Hamiltonian systems. (English) Zbl 1388.37066 J. Geom. Phys. 115, 98-103 (2017). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 37J15 17B80 70H06 PDFBibTeX XMLCite \textit{A. P. Fordy}, J. Geom. Phys. 115, 98--103 (2017; Zbl 1388.37066) Full Text: DOI arXiv Link
Jiménez, Sonia; Morales-Ruiz, Juan J.; Sánchez-Cauce, Raquel; Zurro, María-Angeles Differential Galois theory and Darboux transformations for integrable systems. (English) Zbl 1396.12007 J. Geom. Phys. 115, 75-88 (2017). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 35Q51 37K10 PDFBibTeX XMLCite \textit{S. Jiménez} et al., J. Geom. Phys. 115, 75--88 (2017; Zbl 1396.12007) Full Text: DOI
Schleicher, Dierk Internal addresses of the Mandelbrot set and Galois groups of polynomials. (English) Zbl 1381.37053 Arnold Math. J. 3, No. 1, 1-35 (2017). MSC: 37F20 30D05 37E15 37F10 37F45 12F10 PDFBibTeX XMLCite \textit{D. Schleicher}, Arnold Math. J. 3, No. 1, 1--35 (2017; Zbl 1381.37053) Full Text: DOI arXiv
Maciejewski, Andrzej J.; Przybylska, Maria Integrability of Hamiltonian systems with algebraic potentials. (English) Zbl 1377.37097 Phys. Lett., A 380, No. 1-2, 76-82 (2016). MSC: 37K10 37J30 70G45 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Przybylska}, Phys. Lett., A 380, No. 1--2, 76--82 (2016; Zbl 1377.37097) Full Text: DOI
Hindes, Wade Prime divisors in polynomial orbits over function fields. (English) Zbl 1367.14009 Bull. Lond. Math. Soc. 48, No. 6, 1029-1036 (2016). Reviewer: Yu Yasufuku (Tokyo) (MR3608948) MSC: 14H05 11R32 14G05 14H25 37P55 PDFBibTeX XMLCite \textit{W. Hindes}, Bull. Lond. Math. Soc. 48, No. 6, 1029--1036 (2016; Zbl 1367.14009) Full Text: DOI arXiv
Nguyen Tien Zung Geometry of integrable non-Hamiltonian systems. (English) Zbl 1393.37001 Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer (ISBN 978-3-319-33502-5/pbk; 978-3-319-33503-2/ebook). Advanced Courses in Mathematics – CRM Barcelona, 85-140 (2016). Reviewer: Manuel de León (Madrid) MSC: 37-01 37J40 37J35 37J05 70H08 PDFBibTeX XMLCite \textit{Nguyen Tien Zung}, in: Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. 85--140 (2016; Zbl 1393.37001) Full Text: DOI arXiv
Morales-Ruiz, Juan J. Integrable systems and differential Galois theory. (English) Zbl 1418.37096 Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-33 (2016). MSC: 37J35 37J30 34M50 12H05 34M15 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz}, in: Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. 1--33 (2016; Zbl 1418.37096) Full Text: DOI
Krumm, David A local-global principle in the dynamics of quadratic polynomials. (English) Zbl 1393.11078 Int. J. Number Theory 12, No. 8, 2265-2297 (2016). Reviewer: Chun-Gang Ji (Nanjing) MSC: 11S20 20B35 37P05 37P15 PDFBibTeX XMLCite \textit{D. Krumm}, Int. J. Number Theory 12, No. 8, 2265--2297 (2016; Zbl 1393.11078) Full Text: DOI arXiv