Benham, Heidi; Galarraga, Alexander; Hutz, Benjamin; Lupo, Joey; Peng, Wayne; Towsley, Adam New normal forms for degree-3 polynomials and rational functions. (English) Zbl 07824356 Involve 16, No. 4, 605-620 (2023). MSC: 37P05 37P45 37P15 PDFBibTeX XMLCite \textit{H. Benham} et al., Involve 16, No. 4, 605--620 (2023; Zbl 07824356) Full Text: DOI arXiv
Mello, Jorge On effective \(\epsilon\)-integrality in orbits of rational maps over function fields and multiplicative dependence. (English) Zbl 07786137 Eur. J. Math. 9, No. 4, Paper No. 112, 21 p. (2023). MSC: 37P05 37P15 37P30 PDFBibTeX XMLCite \textit{J. Mello}, Eur. J. Math. 9, No. 4, Paper No. 112, 21 p. (2023; Zbl 07786137) Full Text: DOI arXiv
Bugeaud, Yann (ed.); Corvaja, Pietro (ed.); DeMarco, Laura (ed.); Habegger, Philipp (ed.) Diophantine approximations. Abstracts from the workshop held April 17–23, 2022. (Diophantische Approximationen.) (English) Zbl 1519.00014 Oberwolfach Rep. 19, No. 2, 1091-1164 (2022). MSC: 00B05 00B25 11-06 11Jxx 11Gxx 37P55 PDFBibTeX XMLCite \textit{Y. Bugeaud} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1091--1164 (2022; Zbl 1519.00014) Full Text: DOI
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
Bérczes, Attila; Ostafe, Alina; Shparlinski, Igor E.; Silverman, Joseph H. Multiplicative dependence among iterated values of rational functions modulo finitely generated groups. (English) Zbl 1490.37115 Int. Math. Res. Not. 2021, No. 12, 9045-9082 (2021). Reviewer: Günter Lettl (Graz) MSC: 37P05 11G50 14G25 11D61 37P30 PDFBibTeX XMLCite \textit{A. Bérczes} et al., Int. Math. Res. Not. 2021, No. 12, 9045--9082 (2021; Zbl 1490.37115) 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
Corvaja, Pietro; Ghioca, Dragos; Scanlon, Thomas; Zannier, Umberto The dynamical Mordell-Lang conjecture for endomorphisms of semiabelian varieties defined over fields of positive characteristic. (English) Zbl 1465.11150 J. Inst. Math. Jussieu 20, No. 2, 669-698 (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11G10 37P55 PDFBibTeX XMLCite \textit{P. Corvaja} et al., J. Inst. Math. Jussieu 20, No. 2, 669--698 (2021; Zbl 1465.11150) 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
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
Mérai, László; Shparlinski, Igor E. Unlikely intersections over finite fields: polynomial orbits in small subgroups. (English) Zbl 1489.11201 Discrete Contin. Dyn. Syst. 40, No. 2, 1065-1073 (2020). MSC: 11T06 11D79 37P05 37P25 PDFBibTeX XMLCite \textit{L. Mérai} and \textit{I. E. Shparlinski}, Discrete Contin. Dyn. Syst. 40, No. 2, 1065--1073 (2020; Zbl 1489.11201) Full Text: DOI arXiv
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Manes, Michelle; Silverman, Joseph H.; Tucker, Thomas J. Current trends and open problems in arithmetic dynamics. (English) Zbl 1468.37001 Bull. Am. Math. Soc., New Ser. 56, No. 4, 611-685 (2019). Reviewer: Lingmin Liao (Créteil) MSC: 37-02 37Pxx PDFBibTeX XMLCite \textit{R. Benedetto} et al., Bull. Am. Math. Soc., New Ser. 56, No. 4, 611--685 (2019; Zbl 1468.37001) 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
Ostafe, Alina; Sha, Min; Shparlinski, Igor E.; Zannier, Umberto On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem. (English) Zbl 1442.11142 Mich. Math. J. 68, No. 2, 385-407 (2019). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R18 37F10 PDFBibTeX XMLCite \textit{A. Ostafe} et al., Mich. Math. J. 68, No. 2, 385--407 (2019; Zbl 1442.11142) Full Text: DOI arXiv Euclid
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
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
Levin, Aaron; Yasufuku, Yu Integral points and orbits of endomorphisms on the projective plane. (English) Zbl 1436.11075 Trans. Am. Math. Soc. 371, No. 2, 971-1002 (2019). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G35 14J20 14R05 14G40 37P55 PDFBibTeX XMLCite \textit{A. Levin} and \textit{Y. Yasufuku}, Trans. Am. Math. Soc. 371, No. 2, 971--1002 (2019; Zbl 1436.11075) Full Text: DOI arXiv
Ostafe, Alina; Shparlinski, Igor E. Orbits of algebraic dynamical systems in subgroups and subfields. (English) Zbl 1393.37113 Elsholtz, Christian (ed.) et al., Number theory – Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy’s 60th birthday. Cham: Springer (ISBN 978-3-319-55356-6/hbk; 978-3-319-55357-3/ebook). 347-368 (2017). MSC: 37P25 37P05 11G25 11G35 13P15 37P30 PDFBibTeX XMLCite \textit{A. Ostafe} and \textit{I. E. Shparlinski}, in: Number theory -- Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy's 60th birthday. Cham: Springer. 347--368 (2017; Zbl 1393.37113) Full Text: DOI
Yasufuku, Yu Integral points and relative sizes of coordinates of orbits in \(\mathbb P^N\). (English) Zbl 1320.37046 Math. Z. 279, No. 3-4, 1121-1141 (2015). Reviewer: Michel Waldschmidt (Paris) MSC: 37P55 11J97 37P15 37B99 PDFBibTeX XMLCite \textit{Y. Yasufuku}, Math. Z. 279, No. 3--4, 1121--1141 (2015; Zbl 1320.37046) Full Text: DOI arXiv
Lukas, David; Manes, Michelle; Yap, Diane A census of quadratic post-critically finite rational functions defined over \(\mathbb{Q}\). (English) Zbl 1369.37091 LMS J. Comput. Math. 17A, Spec. Iss., 314-329 (2014). MSC: 37P05 37P15 PDFBibTeX XMLCite \textit{D. Lukas} et al., LMS J. Comput. Math. 17A, 314--329 (2014; Zbl 1369.37091) Full Text: DOI arXiv
Gregor, Aryeh; Yasufuku, Yu Monomial maps on and their arithmetic dynamics. (English) Zbl 1242.37064 J. Number Theory 131, No. 12, 2409-2425 (2011). Reviewer: Anne Broise-Alamichel (Orsay) MSC: 37P55 15A42 11J97 PDFBibTeX XMLCite \textit{A. Gregor} and \textit{Y. Yasufuku}, J. Number Theory 131, No. 12, 2409--2425 (2011; Zbl 1242.37064) Full Text: DOI