Benedetto, Robert L.; Goksel, Vefa Misiurewicz polynomials and dynamical units, part I. (English) Zbl 1523.37052 Int. J. Number Theory 19, No. 6, 1249-1267 (2023). MSC: 37F10 37F34 37P05 37P35 11R09 PDFBibTeX XMLCite \textit{R. L. Benedetto} and \textit{V. Goksel}, Int. J. Number Theory 19, No. 6, 1249--1267 (2023; Zbl 1523.37052) Full Text: DOI arXiv
Benedetto, Robert L. A survey of non-Archimedean dynamics. (English) Zbl 1504.37001 Notices Am. Math. Soc. 69, No. 5, 715-723 (2022). MSC: 37-02 37Pxx 37F10 26E30 11D88 11E95 11F85 11S82 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Notices Am. Math. Soc. 69, No. 5, 715--723 (2022; Zbl 1504.37001) Full Text: DOI
Benedetto, Robert L.; Lee, Junghun J-stability in non-Archimedean dynamics. (English) Zbl 1490.37116 Adv. Math. 397, Article ID 108204, 33 p. (2022). MSC: 37P40 37P50 37P45 11S82 PDFBibTeX XMLCite \textit{R. L. Benedetto} and \textit{J. Lee}, Adv. Math. 397, Article ID 108204, 33 p. (2022; Zbl 1490.37116) Full Text: DOI arXiv
Bajpai, Dvij; Benedetto, Robert L.; Chen, Ruqian; Kim, Edward; Marschall, Owen; Onul, Darius; Xiao, Yang Non-Archimedean connected Julia sets with branching. (English) Zbl 1391.37083 Ergodic Theory Dyn. Syst. 37, No. 1, 59-78 (2017). MSC: 37P40 37P20 37P05 11S85 37F10 PDFBibTeX XMLCite \textit{D. Bajpai} et al., Ergodic Theory Dyn. Syst. 37, No. 1, 59--78 (2017; Zbl 1391.37083) Full Text: DOI arXiv Link
Benedetto, Robert; Ingram, Patrick; Jones, Rafe; Levy, Alon Attracting cycles in \(p\)-adic dynamics and height bounds for postcritically finite maps. (English) Zbl 1323.37058 Duke Math. J. 163, No. 13, 2325-2356 (2014). Reviewer: Lingmin Liao (Créteil) MSC: 37P20 37P45 37F10 PDFBibTeX XMLCite \textit{R. Benedetto} et al., Duke Math. J. 163, No. 13, 2325--2356 (2014; Zbl 1323.37058) Full Text: DOI arXiv Euclid
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Pär; Tucker, Thomas J. A gap principle for dynamics. (English) Zbl 1209.37115 Compos. Math. 146, No. 4, 1056-1072 (2010). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 37P55 14G25 37F10 PDFBibTeX XMLCite \textit{R. L. Benedetto} et al., Compos. Math. 146, No. 4, 1056--1072 (2010; Zbl 1209.37115) Full Text: DOI arXiv
Benedetto, Robert L. Book review of: Joseph H. Silverman, The arithmetic of dynamical systems. (English) Zbl 1292.00012 Bull. Am. Math. Soc., New Ser. 46, No. 1, 157-164 (2009). MSC: 00A17 37-01 11-01 37F10 37C25 11G50 11G05 11G07 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Bull. Am. Math. Soc., New Ser. 46, No. 1, 157--164 (2009; Zbl 1292.00012) Full Text: DOI
Benedetto, Robert L.; Dickman, Benjamin; Joseph, Sasha; Krause, Benjamin; Rubin, Daniel; Zhou, Xinwen Computing points of small height for cubic polynomials. (English) Zbl 1194.37187 Involve 2, No. 1, 37-64 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P05 11C08 11G50 11S99 37P15 37P30 37P40 PDFBibTeX XMLCite \textit{R. L. Benedetto} et al., Involve 2, No. 1, 37--64 (2009; Zbl 1194.37187) Full Text: DOI arXiv
Benedetto, Robert; Briend, Jean-Yves; Perdry, Hervé Dynamics of quadratic polynomials over local fields. (Dynamique des polynômes quadratiques sur les corps locaux.) (French. English summary) Zbl 1197.37144 J. Théor. Nombres Bordx. 19, No. 2, 325-336 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P40 11S05 37P05 37P20 PDFBibTeX XMLCite \textit{R. Benedetto} et al., J. Théor. Nombres Bordx. 19, No. 2, 325--336 (2007; Zbl 1197.37144) Full Text: DOI EuDML
Benedetto, Robert L. Preperiodic points of polynomials over global fields. (English) Zbl 1156.37009 J. Reine Angew. Math. 608, 123-153 (2007). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 37P20 37P15 37P35 11C08 11R09 11R58 14E05 37F50 PDFBibTeX XMLCite \textit{R. L. Benedetto}, J. Reine Angew. Math. 608, 123--153 (2007; Zbl 1156.37009) Full Text: DOI arXiv
Benedetto, Robert L.; Ghioca, Dragos; Kurlberg, Par; Tucker, Thomas J. The Dynamical Mordell-Lang Conjecture. arXiv:0712.2344 Preprint, arXiv:0712.2344 [math.NT] (2007). MSC: 14G25 37F10 BibTeX Cite \textit{R. L. Benedetto} et al., ``The Dynamical Mordell-Lang Conjecture'', Preprint, arXiv:0712.2344 [math.NT] (2007) Full Text: arXiv OA License
Benedetto, Robert L. Wandering domains in non-Archimedean polynomial dynamics. (English) Zbl 1117.12004 Bull. Lond. Math. Soc. 38, No. 6, 937-950 (2006). MSC: 11S85 37P20 37P40 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Bull. Lond. Math. Soc. 38, No. 6, 937--950 (2006; Zbl 1117.12004) Full Text: DOI arXiv
Benedetto, Robert L. Wandering domains and nontrivial reduction in non-archimedean dynamics. (English) Zbl 1137.11354 Ill. J. Math. 49, No. 1, 167-193 (2005). MSC: 37P20 37P40 11S85 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Ill. J. Math. 49, No. 1, 167--193 (2005; Zbl 1137.11354) Full Text: arXiv
Benedetto, Robert L. Examples of wandering domains in \(p\)-adic polynomial dynamics. (English. Abridged French version) Zbl 1151.37314 C. R., Math., Acad. Sci. Paris 335, No. 7, 615-620 (2002). MSC: 37P40 12J25 37F50 PDFBibTeX XMLCite \textit{R. L. Benedetto}, C. R., Math., Acad. Sci. Paris 335, No. 7, 615--620 (2002; Zbl 1151.37314) Full Text: DOI
Benedetto, Robert L. An elementary product identity in polynomial dynamics. (English) Zbl 1037.11013 Am. Math. Mon. 108, No. 9, 860-864 (2001). Reviewer: Franco Vivaldi (London) MSC: 11C08 37F10 11R27 37B25 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Am. Math. Mon. 108, No. 9, 860--864 (2001; Zbl 1037.11013) Full Text: DOI
Benedetto, Robert L. Reduction, dynamics, and Julia sets of rational functions. (English) Zbl 0978.37039 J. Number Theory 86, No. 2, 175-195 (2001). Reviewer: Harald Rindler (Wien) MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{R. L. Benedetto}, J. Number Theory 86, No. 2, 175--195 (2001; Zbl 0978.37039) Full Text: DOI
Benedetto, Robert L. \(p\)-adic dynamics and Sullivan’s no wandering domains theorem. (English) Zbl 0996.37055 Compos. Math. 122, No. 3, 281-298 (2000). Reviewer: Franco Vivaldi (London) MSC: 37F10 11S85 37F50 37F99 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Compos. Math. 122, No. 3, 281--298 (2000; Zbl 0996.37055) Full Text: DOI