Nordqvist, Jonas; Rivera-Letelier, Juan Residue fixed point index and wildly ramified power series. (English) Zbl 07288965 J. Lond. Math. Soc., II. Ser. 102, No. 2, 470-497 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S82 37P05 37P10 11S15 PDF BibTeX XML Cite \textit{J. Nordqvist} and \textit{J. Rivera-Letelier}, J. Lond. Math. Soc., II. Ser. 102, No. 2, 470--497 (2020; Zbl 07288965) Full Text: DOI
Memić, Nacima Mahler coefficients of locally scaling transformations on \(\mathbb{Z}_p \). (English) Zbl 07262541 Colloq. Math. 162, No. 1, 53-76 (2020). MSC: 11S82 37A05 PDF BibTeX XML Cite \textit{N. Memić}, Colloq. Math. 162, No. 1, 53--76 (2020; Zbl 07262541) Full Text: DOI
Memić, Nacima Mahler coefficients of uniformly differentiable functions modulo \(p\). (English) Zbl 1444.11237 Int. J. Number Theory 16, No. 9, 2113-2127 (2020). MSC: 11S82 37A05 PDF BibTeX XML Cite \textit{N. Memić}, Int. J. Number Theory 16, No. 9, 2113--2127 (2020; Zbl 1444.11237) Full Text: DOI
Herrero, Sebastián; Menares, Ricardo; Rivera-Letelier, Juan \(p\)-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point. (English) Zbl 07244794 Algebra Number Theory 14, No. 5, 1239-1290 (2020). MSC: 11G15 11F32 11S82 PDF BibTeX XML Cite \textit{S. Herrero} et al., Algebra Number Theory 14, No. 5, 1239--1290 (2020; Zbl 07244794) Full Text: DOI
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo Arithmetic subderivatives: \(p\)-adic discontinuity and continuity. (English) Zbl 07225804 J. Integer Seq. 23, No. 7, Article 20.7.3, 17 p. (2020). MSC: 11A25 11S82 26A15 PDF BibTeX XML Cite \textit{P. Haukkanen} et al., J. Integer Seq. 23, No. 7, Article 20.7.3, 17 p. (2020; Zbl 07225804) Full Text: Link
Berger, Laurent Rigidity and unlikely intersections for formal groups. (English) Zbl 07221842 Acta Arith. 195, No. 3, 305-312 (2020). MSC: 11S31 11F80 11S82 13J05 37P35 PDF BibTeX XML Cite \textit{L. Berger}, Acta Arith. 195, No. 3, 305--312 (2020; Zbl 07221842) Full Text: DOI
Memić, Nacima Mahler coefficients of \(1\)-Lipschitz measure-preserving functions on \(\mathbb{Z}_p\). (English) Zbl 07219268 Int. J. Number Theory 16, No. 6, 1247-1261 (2020). MSC: 11S82 37A05 PDF BibTeX XML Cite \textit{N. Memić}, Int. J. Number Theory 16, No. 6, 1247--1261 (2020; Zbl 07219268) Full Text: DOI
Rozikov, U. A.; Sattarov, I. A. Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points. (English) Zbl 1445.37077 Result. Math. 75, No. 3, Paper No. 100, 37 p. (2020). MSC: 37P05 37P20 12J12 11S82 30D05 46S10 PDF BibTeX XML Cite \textit{U. A. Rozikov} and \textit{I. A. Sattarov}, Result. Math. 75, No. 3, Paper No. 100, 37 p. (2020; Zbl 1445.37077) Full Text: DOI
Huang, Keping A gap principle for subvarieties with finitely many periodic points. (English) Zbl 1441.37106 Can. Math. Bull. 63, No. 2, 382-392 (2020). MSC: 37P35 37P05 37P55 11S82 PDF BibTeX XML Cite \textit{K. Huang}, Can. Math. Bull. 63, No. 2, 382--392 (2020; Zbl 1441.37106) Full Text: DOI
Jung, Myunghyun; Kim, Donggyun Dynamic structures of \(p\)-adic monomials for small primes \(p\). (English) Zbl 1446.37101 J. Number Theory 211, 155-183 (2020). MSC: 37P35 11S82 PDF BibTeX XML Cite \textit{M. Jung} and \textit{D. Kim}, J. Number Theory 211, 155--183 (2020; Zbl 1446.37101) Full Text: DOI
Okuyama, Yûsuke Geometric formulas on Rumely’s weight function and crucial measure in non-archimedean dynamics. (English) Zbl 07184935 Math. Ann. 376, No. 3-4, 913-956 (2020). MSC: 37P50 37P05 11S82 PDF BibTeX XML Cite \textit{Y. Okuyama}, Math. Ann. 376, No. 3--4, 913--956 (2020; Zbl 07184935) Full Text: DOI
Memić, Nacima; Huremović, Jasmina Muminović Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\). (English) Zbl 1435.37015 \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 1, 49-59 (2020). MSC: 37A44 12H25 11S82 PDF BibTeX XML Cite \textit{N. Memić} and \textit{J. M. Huremović}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 12, No. 1, 49--59 (2020; Zbl 1435.37015) Full Text: DOI
Ueki, Jun \(p\)-adic Mahler measure and \(\mathbb{Z}\)-covers of links. (English) Zbl 1448.37131 Ergodic Theory Dyn. Syst. 40, No. 1, 272-288 (2020). MSC: 37P30 37P05 11E95 11S82 14F30 PDF BibTeX XML Cite \textit{J. Ueki}, Ergodic Theory Dyn. Syst. 40, No. 1, 272--288 (2020; Zbl 1448.37131) Full Text: DOI arXiv
Salerno, Adriana; Silverman, Joseph H. Integrality properties of Böttcher coordinates for one-dimensional superattracting germs. (English) Zbl 1427.37073 Ergodic Theory Dyn. Syst. 40, No. 1, 248-271 (2020). MSC: 37P20 37P05 14K12 11S82 PDF BibTeX XML Cite \textit{A. Salerno} and \textit{J. H. Silverman}, Ergodic Theory Dyn. Syst. 40, No. 1, 248--271 (2020; Zbl 1427.37073) Full Text: DOI arXiv
Jacobs, Kenneth; Williams, Phillip Iteration and the minimal resultant. (English) Zbl 07118576 New York J. Math. 25, 451-466 (2019). MSC: 11S82 37P05 37P50 PDF BibTeX XML Cite \textit{K. Jacobs} and \textit{P. Williams}, New York J. Math. 25, 451--466 (2019; Zbl 07118576) Full Text: Link arXiv
Bate, Brandon; Craft, Kyle; Yuly, Jonathon Algorithms for classifying points in a 2-adic Mandelbrot set. (English) Zbl 1425.37057 Involve 12, No. 6, 969-994 (2019). MSC: 37P05 11S82 28A80 60G18 PDF BibTeX XML Cite \textit{B. Bate} et al., Involve 12, No. 6, 969--994 (2019; Zbl 1425.37057) Full Text: DOI
Jacobs, Kenneth Lower bounds for non-Archimedean Lyapunov exponents. (English) Zbl 1415.37115 Trans. Am. Math. Soc. 371, No. 9, 6025-6046 (2019). MSC: 37P50 37P20 11S82 37P05 PDF BibTeX XML Cite \textit{K. Jacobs}, Trans. Am. Math. Soc. 371, No. 9, 6025--6046 (2019; Zbl 1415.37115) Full Text: DOI arXiv
Benedetto, Robert L. Dynamics in one non-Archimedean variable. (English) Zbl 1426.37001 Graduate Studies in Mathematics 198. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4688-8/hbk; 978-1-4704-5106-6/ebook). xviii, 463 p. (2019). MSC: 37-02 37Pxx 37Fxx 11S82 26E30 PDF BibTeX XML Cite \textit{R. L. Benedetto}, Dynamics in one non-Archimedean variable. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1426.37001) Full Text: DOI
Berger, Laurent Nonarchimedean dynamical systems and formal groups. (English) Zbl 1429.11209 Proc. Am. Math. Soc. 147, No. 4, 1413-1419 (2019). Reviewer: Roberto Dvornicich (Pisa) MSC: 11S82 11S31 32P05 PDF BibTeX XML Cite \textit{L. Berger}, Proc. Am. Math. Soc. 147, No. 4, 1413--1419 (2019; Zbl 1429.11209) Full Text: DOI arXiv
Memić, Nacima On some compatible functions on the set of 3-adic integers. (English) Zbl 1432.11172 Colloq. Math. 155, No. 2, 197-214 (2019). MSC: 11S82 37A05 PDF BibTeX XML Cite \textit{N. Memić}, Colloq. Math. 155, No. 2, 197--214 (2019; Zbl 1432.11172) Full Text: DOI
Memić, Nacima Sets of minimality of \((1 - 1)\)-rational functions. (English) Zbl 1442.37122 \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 3, 209-221 (2018). MSC: 37P05 37P20 11S82 PDF BibTeX XML Cite \textit{N. Memić}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 10, No. 3, 209--221 (2018; Zbl 1442.37122) Full Text: DOI
Jacobs, Kenneth S. Quantitative logarithmic equidistribution of the crucial measures. (English) Zbl 1441.37104 Res. Number Theory 4, No. 1, Paper No. 10, 32 p. (2018). MSC: 37P05 11S82 PDF BibTeX XML Cite \textit{K. S. Jacobs}, Res. Number Theory 4, No. 1, Paper No. 10, 32 p. (2018; Zbl 1441.37104) Full Text: DOI
Allen, Kenneth; DeMark, David; Petsche, Clayton Non-Archimedean Hénon maps, attractors, and horseshoes. (English) Zbl 1420.37120 Res. Number Theory 4, No. 1, Paper No. 5, 30 p. (2018). MSC: 37P20 37D45 37B10 11S82 PDF BibTeX XML Cite \textit{K. Allen} et al., Res. Number Theory 4, No. 1, Paper No. 5, 30 p. (2018; Zbl 1420.37120) Full Text: DOI arXiv
Anderson, Jacqueline; Hamblen, Spencer; Poonen, Bjorn; Walton, Laura Local arboreal representations. (English) Zbl 07013544 Int. Math. Res. Not. 2018, No. 19, 5974-5994 (2018). Reviewer: Kevin Keating (Gainesville) MSC: 11S82 11S15 11S20 PDF BibTeX XML Cite \textit{J. Anderson} et al., Int. Math. Res. Not. 2018, No. 19, 5974--5994 (2018; Zbl 07013544) Full Text: DOI arXiv
Fan, Shilei; Liao, Lingmin Rational map \(ax + 1/x\) on the projective line over \(\mathbb{Q}_2\). (English) Zbl 1404.37121 Sci. China, Math. 61, No. 12, 2221-2236 (2018). MSC: 37P05 11S82 37B05 PDF BibTeX XML Cite \textit{S. Fan} and \textit{L. Liao}, Sci. China, Math. 61, No. 12, 2221--2236 (2018; Zbl 1404.37121) Full Text: DOI arXiv
Yurova Axelsson, Ekaterina On the sub-coordinate representation of \(p\)-adic functions. (English) Zbl 1437.11160 Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on \(p\)-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 704, 285-290 (2018). MSC: 11S82 37P99 PDF BibTeX XML Cite \textit{E. Yurova Axelsson}, Contemp. Math. 704, 285--290 (2018; Zbl 1437.11160) Full Text: DOI
Fan, Shilei; Liao, Lingmin Rational map \(ax+1/x\) on the projective line over \(\mathbb{Q}_{p}\). (English) Zbl 1419.37090 Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on \(p\)-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 704, 217-230 (2018). MSC: 37P05 11S82 37B05 PDF BibTeX XML Cite \textit{S. Fan} and \textit{L. Liao}, Contemp. Math. 704, 217--230 (2018; Zbl 1419.37090) Full Text: DOI
Jeong, Sangtae Bernoulli maps on \(\mathbf{Z}_p\) in the expansions of van der Put and Mahler. (English) Zbl 1394.37128 J. Number Theory 193, 235-265 (2018). MSC: 37P05 11S82 37A05 37A45 37P20 11K41 PDF BibTeX XML Cite \textit{S. Jeong}, J. Number Theory 193, 235--265 (2018; Zbl 1394.37128) Full Text: DOI
Kalinin, Nikita; Shkolnikov, Mikhail Introduction to tropical series and wave dynamic on them. (English) Zbl 1420.14145 Discrete Contin. Dyn. Syst. 38, No. 6, 2827-2849 (2018). MSC: 14T05 11H06 11S82 37J05 37E15 37K60 82C20 PDF BibTeX XML Cite \textit{N. Kalinin} and \textit{M. Shkolnikov}, Discrete Contin. Dyn. Syst. 38, No. 6, 2827--2849 (2018; Zbl 1420.14145) Full Text: DOI arXiv
Axelsson, E. I. Yurova; Khrennikov, A. Yu. Subcoordinate representation of \(p\)-adic functions and generalization of Hensel’s lemma. (English. Russian original) Zbl 1411.37077 Izv. Math. 82, No. 3, 632-645 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 192-206 (2018). Reviewer: Edwin León Cardenal (Zacatecas) MSC: 37P05 11S82 37A45 PDF BibTeX XML Cite \textit{E. I. Y. Axelsson} and \textit{A. Yu. Khrennikov}, Izv. Math. 82, No. 3, 632--645 (2018; Zbl 1411.37077); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 3, 192--206 (2018) Full Text: DOI
Specter, Joel The crystalline period of a height one \(p\)-adic dynamical system. (English) Zbl 1428.11202 Trans. Am. Math. Soc. 370, No. 5, 3591-3608 (2018). MSC: 11S82 11S20 11S31 14L05 14F30 PDF BibTeX XML Cite \textit{J. Specter}, Trans. Am. Math. Soc. 370, No. 5, 3591--3608 (2018; Zbl 1428.11202) Full Text: DOI
Xie, Junyi The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane. (English) Zbl 06832236 Astérisque 394. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-869-5/pbk). vi, 110 p. (2017). MSC: 11-02 11S82 11C08 37P05 37P50 PDF BibTeX XML Cite \textit{J. Xie}, The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane. Paris: Société Mathématique de France (SMF) (2017; Zbl 06832236) Full Text: arXiv
Mukhamedov, Farrukh; Akın, Hasan; Dogan, Mutlay On chaotic behaviour of the \(p\)-adic generalized Ising mapping and its application. (English) Zbl 1388.37085 J. Difference Equ. Appl. 23, No. 9, 1542-1561 (2017). Reviewer: Franco Vivaldi (London) MSC: 37P05 37A60 82B26 12J12 39A70 82B20 11S82 PDF BibTeX XML Cite \textit{F. Mukhamedov} et al., J. Difference Equ. Appl. 23, No. 9, 1542--1561 (2017; Zbl 1388.37085) Full Text: DOI
Abram, William C.; Bolshakov, Artem; Lagarias, Jeffrey C. Intersections of multiplicative translates of 3-adic Cantor sets. II: Two infinite families. (English) Zbl 1422.11163 Exp. Math. 26, No. 4, 468-489 (2017). MSC: 11K55 11S82 28A80 28D20 37B10 PDF BibTeX XML Cite \textit{W. C. Abram} et al., Exp. Math. 26, No. 4, 468--489 (2017; Zbl 1422.11163) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. Jones} and \textit{A. Levy}, Int. J. Number Theory 13, No. 9, 2299--2318 (2017; Zbl 1391.37072) Full Text: DOI arXiv
Jacobs, Kenneth Equidistribution of the crucial measures in non-Archimedean dynamics. (English) Zbl 1391.37087 J. Number Theory 180, 86-138 (2017). MSC: 37P50 37P30 37P05 11S82 PDF BibTeX XML Cite \textit{K. Jacobs}, J. Number Theory 180, 86--138 (2017; Zbl 1391.37087) Full Text: DOI
Xie, Junyi The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane. (English) Zbl 1395.37069 Compos. Math. 153, No. 8, 1658-1672 (2017). MSC: 37P55 32H50 14G05 11S82 PDF BibTeX XML Cite \textit{J. Xie}, Compos. Math. 153, No. 8, 1658--1672 (2017; Zbl 1395.37069) Full Text: DOI arXiv
Memić, Nacima Ergodic polynomials on 2-adic spheres. (English) Zbl 1409.11119 Bull. Pol. Acad. Sci., Math. 65, No. 1, 35-44 (2017). MSC: 11S82 37P20 37P05 PDF BibTeX XML Cite \textit{N. Memić}, Bull. Pol. Acad. Sci., Math. 65, No. 1, 35--44 (2017; Zbl 1409.11119) Full Text: DOI
Berger, Laurent Lubin’s conjecture for full \(p\)-adic dynamical systems. (English. French summary) Zbl 1429.11208 Algèbre et théorie des nombres 2016. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2016, 19-24 (2017). Reviewer: Lawrence C. Washington (College Park) MSC: 11S82 11S15 11S20 11S31 13F25 13F35 14F30 PDF BibTeX XML Cite \textit{L. Berger}, Publ. Math. Besançon, Algèbre Théor. Nombres 2016, 19--24 (2017; Zbl 1429.11208) Full Text: arXiv
Jang, Youngho; Jeong, Sangtae; Li, Chunlan Measure-preservation criteria for 1-Lipschitz functions on \(\mathbb F_{q}[[T]]\) in terms of the three bases of Carlitz polynomials, digit derivatives, and digit shifts. (English) Zbl 1402.11142 Finite Fields Appl. 46, 304-325 (2017). MSC: 11S82 37P20 11T06 32P05 37A05 PDF BibTeX XML Cite \textit{Y. Jang} et al., Finite Fields Appl. 46, 304--325 (2017; Zbl 1402.11142) Full Text: DOI
Rumely, Robert A new equivariant in nonarchimedean dynamics. (English) Zbl 1392.37119 Algebra Number Theory 11, No. 4, 841-884 (2017). MSC: 37P50 11S82 37P05 PDF BibTeX XML Cite \textit{R. Rumely}, Algebra Number Theory 11, No. 4, 841--884 (2017; Zbl 1392.37119) Full Text: DOI arXiv
Memić, Nacima Characterization of ergodic rational functions on the set of 2-adic units. (English) Zbl 1429.11210 Int. J. Number Theory 13, No. 5, 1119-1128 (2017). MSC: 11S82 11K41 PDF BibTeX XML Cite \textit{N. Memić}, Int. J. Number Theory 13, No. 5, 1119--1128 (2017; Zbl 1429.11210) Full Text: DOI
Nordqvist, Jonas Corrigendum to: “Characterization of 2-ramified power series”. (English) Zbl 1406.11115 J. Number Theory 178, 208 (2017). MSC: 11S15 11S82 20E18 37P35 PDF BibTeX XML Cite \textit{J. Nordqvist}, J. Number Theory 178, 208 (2017; Zbl 1406.11115) Full Text: DOI
Li, Chunlan; Jeong, Sangtae Measure-preservation criteria for a certain class of 1-Lipschitz functions on \(\mathbb Z_p\) in Mahler’s expansion. (English) Zbl 1391.37074 Discrete Contin. Dyn. Syst. 37, No. 7, 3787-3804 (2017). MSC: 37P20 11S82 37A45 PDF BibTeX XML Cite \textit{C. Li} and \textit{S. Jeong}, Discrete Contin. Dyn. Syst. 37, No. 7, 3787--3804 (2017; Zbl 1391.37074) Full Text: DOI
Algebra and number theory 2016. (Algèbre et théorie des nombres 2016.) (English, French) Zbl 1365.11004 Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2016. Besançon: Presses Universitaires de Franche-Comté. 96 p. (2017). MSC: 11-06 11S82 11S40 11G07 11M38 11G50 00B25 PDF BibTeX XML Cite Algèbre et théorie des nombres 2016. Besançon: Presses Universitaires de Franche-Comté (2017; Zbl 1365.11004) Full Text: Link
Lagarias, Jeffrey C.; Mehta, Harsh Products of Farey fractions. (English) Zbl 1422.11167 Exp. Math. 26, No. 1, 1-21 (2017). MSC: 11K55 11B57 11S82 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{H. Mehta}, Exp. Math. 26, No. 1, 1--21 (2017; Zbl 1422.11167) Full Text: DOI
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Wang, Yuefei Minimality of \(p\)-adic rational maps with good reduction. (English) Zbl 1391.37067 Discrete Contin. Dyn. Syst. 37, No. 6, 3161-3182 (2017). MSC: 37P05 11S82 PDF BibTeX XML Cite \textit{A. Fan} et al., Discrete Contin. Dyn. Syst. 37, No. 6, 3161--3182 (2017; Zbl 1391.37067) Full Text: DOI
Memić, Nacima Ergodicity conditions on the group of 3-adic integers. (English) Zbl 1409.11118 Colloq. Math. 147, No. 1, 67-75 (2017). MSC: 11S82 37P20 PDF BibTeX XML Cite \textit{N. Memić}, Colloq. Math. 147, No. 1, 67--75 (2017; Zbl 1409.11118) Full Text: DOI
Fransson, Jonas Characterization of 2-ramified power series. (English) Zbl 1359.11089 J. Number Theory 174, 258-273 (2017); corrigendum ibid. 178, 208 (2017). Reviewer: Kevin Keating (Gainesville) MSC: 11S15 11S82 20E18 37P35 PDF BibTeX XML Cite \textit{J. Fransson}, J. Number Theory 174, 258--273 (2017; Zbl 1359.11089) Full Text: DOI arXiv
Mukhamedov, Farrukh; Khakimov, Otabek On a generalized self-similarity in the \(p\)-adic field. (English) Zbl 1357.28012 Fractals 24, No. 4, Article ID 1650041, 11 p. (2016). MSC: 28A80 11S82 37P25 PDF BibTeX XML Cite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Fractals 24, No. 4, Article ID 1650041, 11 p. (2016; Zbl 1357.28012) Full Text: DOI
Berger, Laurent Iterated extensions and relative Lubin-Tate groups. (English. French summary) Zbl 1360.11130 Ann. Math. Qué. 40, No. 1, 17-28 (2016). Reviewer: Thomas Schmidt (Corvallis) MSC: 11S05 11S15 11S20 11S31 11S82 13F25 14F30 PDF BibTeX XML Cite \textit{L. Berger}, Ann. Math. Qué. 40, No. 1, 17--28 (2016; Zbl 1360.11130) Full Text: DOI arXiv
Doyle, John R.; Jacobs, Kenneth; Rumely, Robert Configuration of the crucial set for a quadratic rational map. (English) Zbl 1391.37086 Res. Number Theory 2, Paper No. 11, 16 p. (2016). MSC: 37P50 11S82 37P05 11Y40 PDF BibTeX XML Cite \textit{J. R. Doyle} et al., Res. Number Theory 2, Paper No. 11, 16 p. (2016; Zbl 1391.37086) Full Text: DOI arXiv
Lee, Junghun An alternative proof of the non-Archimedean Montel theorem for polynomial dynamics. (English) Zbl 1349.37096 Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 133-137 (2016). MSC: 37P40 11S82 PDF BibTeX XML Cite \textit{J. Lee}, Contemp. Math. 665, 133--137 (2016; Zbl 1349.37096) Full Text: DOI arXiv
Khrennikov, A. Yu.; Oleschko, K.; de Jesús Correa López, M. Applications of \(p\)-adic numbers: from physics to geology. (English) Zbl 1405.11150 Glöckner, Helge (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). Contemporary Mathematics 665, 121-131 (2016). MSC: 11S82 37P20 76S05 81Q65 PDF BibTeX XML Cite \textit{A. Yu. Khrennikov} et al., Contemp. Math. 665, 121--131 (2016; Zbl 1405.11150) Full Text: DOI
Memić, Nacima Ergodic products and powers on compact subsets of the \(p\)-adic field. (English) Zbl 1416.11163 Bull. Pol. Acad. Sci., Math. 64, No. 1, 47-53 (2016). MSC: 11S82 37P20 11K41 PDF BibTeX XML Cite \textit{N. Memić}, Bull. Pol. Acad. Sci., Math. 64, No. 1, 47--53 (2016; Zbl 1416.11163) Full Text: DOI
Fan, Shilei; Liao, Lingmin Dynamical structures of Chebyshev polynomials on \(\mathbb{Z}_2\). (English) Zbl 1391.37069 J. Number Theory 169, 174-182 (2016). MSC: 37P05 11S82 37B05 PDF BibTeX XML Cite \textit{S. Fan} and \textit{L. Liao}, J. Number Theory 169, 174--182 (2016; Zbl 1391.37069) Full Text: DOI
Lee, Junghun An alternative proof of the non-Archimedean Montel theorem for rational dynamics. (English) Zbl 1343.37090 Proc. Japan Acad., Ser. A 92, No. 4, 56-58 (2016). MSC: 37P40 11S82 PDF BibTeX XML Cite \textit{J. Lee}, Proc. Japan Acad., Ser. A 92, No. 4, 56--58 (2016; Zbl 1343.37090) Full Text: DOI Euclid
Cais, Bryden; Davis, Christopher; Lubin, Jonathan A characterization of strictly APF extensions. (English. French summary) Zbl 1409.11104 J. Théor. Nombres Bordx. 28, No. 2, 417-430 (2016). MSC: 11S15 11S20 11S82 PDF BibTeX XML Cite \textit{B. Cais} et al., J. Théor. Nombres Bordx. 28, No. 2, 417--430 (2016; Zbl 1409.11104) Full Text: DOI arXiv
Costa, Robert; Dynes, Patrick; Petsche, Clayton A \(p\)-adic Perron-Frobenius theorem. (English) Zbl 1355.15026 Acta Arith. 174, No. 2, 175-188 (2016). Reviewer: Hans Havlicek (Wien) MSC: 15B48 15B51 37P20 15A18 11S82 PDF BibTeX XML Cite \textit{R. Costa} et al., Acta Arith. 174, No. 2, 175--188 (2016; Zbl 1355.15026) Full Text: DOI arXiv
Hsia, Liang-Chung; Li, Hua-Chieh Ramification filtrations of certain abelian Lie extensions of local fields. (English) Zbl 1401.11151 J. Number Theory 168, 135-153 (2016). Reviewer: Kevin Keating (Gainesville) MSC: 11S31 11S15 11S82 PDF BibTeX XML Cite \textit{L.-C. Hsia} and \textit{H.-C. Li}, J. Number Theory 168, 135--153 (2016; Zbl 1401.11151) Full Text: DOI arXiv
Glöckner, Helge (ed.); Escassut, Alain (ed.); Shamseddine, Khodr (ed.) Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12–16, 2014. (English) Zbl 1343.00036 Contemporary Mathematics 665. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1988-2/pbk; 978-1-4704-3204-1/ebook). vii, 335 p. (2016). MSC: 00B25 46S10 47S10 26E30 30G06 37P20 11S82 PDF BibTeX XML Cite \textit{H. Glöckner} (ed.) et al., Advances in non-Archimedean Analysis. 13th international conference on \(p\)-adic functional analysis, University of Paderborn, Paderborn, Germany, August 12--16, 2014. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1343.00036) Full Text: DOI
Amerik, Ekaterina; Kurlberg, Pär; Nguyen, Khoa D.; Towsley, Adam; Viray, Bianca; Voloch, José Felipe Evidence for the dynamical Brauer-Manin criterion. (English) Zbl 1393.37112 Exp. Math. 25, No. 1, 54-65 (2016). MSC: 37P15 11S82 PDF BibTeX XML Cite \textit{E. Amerik} et al., Exp. Math. 25, No. 1, 54--65 (2016; Zbl 1393.37112) Full Text: DOI
Fan, Shilei; Liao, Lingmin Dynamics of the square mapping on the ring of \(p\)-adic integers. (English) Zbl 1391.37068 Proc. Am. Math. Soc. 144, No. 3, 1183-1196 (2016). MSC: 37P05 11S82 37B05 PDF BibTeX XML Cite \textit{S. Fan} and \textit{L. Liao}, Proc. Am. Math. Soc. 144, No. 3, 1183--1196 (2016; Zbl 1391.37068) Full Text: DOI arXiv
Jang, Youngho; Jeong, Sangtae; Li, Chunlan Criteria of measure-preservation for 1-Lipschitz functions on \(\mathbb F_q[[T]]\) in terms of the van der Put basis and its applications. (English) Zbl 1402.11141 Finite Fields Appl. 37, 131-157 (2016). MSC: 11S82 32P05 37P20 11T06 37A05 PDF BibTeX XML Cite \textit{Y. Jang} et al., Finite Fields Appl. 37, 131--157 (2016; Zbl 1402.11141) Full Text: DOI
Pottmeyer, Lukas Heights and totally \(p\)-adic numbers. (English) Zbl 1358.37128 Acta Arith. 171, No. 3, 277-291 (2015). MSC: 37P30 11S82 11R04 PDF BibTeX XML Cite \textit{L. Pottmeyer}, Acta Arith. 171, No. 3, 277--291 (2015; Zbl 1358.37128) Full Text: DOI arXiv
Trucco, Eugenio On Fibonacci polynomials and wandering domains. (English) Zbl 1394.37129 Bull. Lond. Math. Soc. 47, No. 4, 663-674 (2015). MSC: 37P05 37P50 37P40 11S82 PDF BibTeX XML Cite \textit{E. Trucco}, Bull. Lond. Math. Soc. 47, No. 4, 663--674 (2015; Zbl 1394.37129) Full Text: DOI
Okuyama, Yûsuke Quantitative approximations of the Lyapunov exponent of a rational function over valued fields. (English) Zbl 1332.37068 Math. Z. 280, No. 3-4, 691-706 (2015). Reviewer: Franco Vivaldi (London) MSC: 37P50 11S82 PDF BibTeX XML Cite \textit{Y. Okuyama}, Math. Z. 280, No. 3--4, 691--706 (2015; Zbl 1332.37068) Full Text: DOI arXiv
Sattarov, I. A. \(p\)-adic (3, 2)-rational dynamical systems. (English) Zbl 1347.37149 \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 1, 39-55 (2015). MSC: 37P05 37P20 11S82 PDF BibTeX XML Cite \textit{I. A. Sattarov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 1, 39--55 (2015; Zbl 1347.37149) Full Text: DOI
Rumely, Robert The minimal resultant locus. (English) Zbl 1379.37148 Acta Arith. 169, No. 3, 251-290 (2015). Reviewer: Lingmin Liao (Créteil) MSC: 37P50 11S82 37P05 PDF BibTeX XML Cite \textit{R. Rumely}, Acta Arith. 169, No. 3, 251--290 (2015; Zbl 1379.37148) Full Text: DOI arXiv
Fan, Shilei; Liao, Lingmin Dynamics of convergent power series on the integral ring of a finite extension of \(\mathbb{Q}_p\). (English) Zbl 1392.37109 J. Differ. Equations 259, No. 4, 1628-1648 (2015). MSC: 37P10 11S82 37B05 PDF BibTeX XML Cite \textit{S. Fan} and \textit{L. Liao}, J. Differ. Equations 259, No. 4, 1628--1648 (2015; Zbl 1392.37109) Full Text: DOI arXiv
Sun, Chia-Liang The Brauer-Manin-Scharaschkin obstruction for subvarieties of a semi-abelian variety and its dynamical analog. (English) Zbl 1394.11078 J. Number Theory 147, 533-548 (2015). MSC: 11S82 14K15 11G10 PDF BibTeX XML Cite \textit{C.-L. Sun}, J. Number Theory 147, 533--548 (2015; Zbl 1394.11078) Full Text: DOI
Kaliszewski, S.; Omland, Tron; Quigg, John Cuntz-Li algebras from \(a\)-adic numbers. (English) Zbl 1389.46049 Rev. Roum. Math. Pures Appl. 59, No. 3, 331-370 (2014). MSC: 46L05 46L55 11R04 11R56 11S82 PDF BibTeX XML Cite \textit{S. Kaliszewski} et al., Rev. Roum. Math. Pures Appl. 59, No. 3, 331--370 (2014; Zbl 1389.46049) Full Text: arXiv
Qiu, Weiyuan; Wang, Yuefei; Yang, Jinghua; Yin, Yongchen On metric properties of limit sets of contractive analytic non-Archimedean dynamical systems. (English) Zbl 1391.37088 J. Math. Anal. Appl. 414, No. 1, 386-401 (2014). MSC: 37P50 11S82 26E30 30G06 PDF BibTeX XML Cite \textit{W. Qiu} et al., J. Math. Anal. Appl. 414, No. 1, 386--401 (2014; Zbl 1391.37088) Full Text: DOI
Abram, William C.; Lagarias, Jeffrey C. Intersections of multiplicative translates of 3-adic Cantor sets. (English) Zbl 1332.11074 J. Fractal Geom. 1, No. 4, 349-390 (2014). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 11K55 11S82 28A80 28D20 37B10 PDF BibTeX XML Cite \textit{W. C. Abram} and \textit{J. C. Lagarias}, J. Fractal Geom. 1, No. 4, 349--390 (2014; Zbl 1332.11074) Full Text: DOI arXiv
Berger, Laurent Lifting the field of norms. (Relèvement du corps des normes.) (English. French summary) Zbl 1317.11121 J. Éc. Polytech., Math. 1, 29-38 (2014). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11S15 11S20 11S25 11S31 11S82 13F25 PDF BibTeX XML Cite \textit{L. Berger}, J. Éc. Polytech., Math. 1, 29--38 (2014; Zbl 1317.11121) Full Text: DOI arXiv
Benedetto, Robert L. A criterion for potentially good reduction in nonarchimedean dynamics. (English) Zbl 1379.37147 Acta Arith. 165, No. 3, 251-256 (2014). MSC: 37P50 37P20 11S82 PDF BibTeX XML Cite \textit{R. L. Benedetto}, Acta Arith. 165, No. 3, 251--256 (2014; Zbl 1379.37147) Full Text: DOI
Poonen, Bjorn \(p\)-adic interpolation of iterates. (English) Zbl 1291.11135 Bull. Lond. Math. Soc. 46, No. 3, 525-527 (2014). MSC: 11S82 37P10 PDF BibTeX XML Cite \textit{B. Poonen}, Bull. Lond. Math. Soc. 46, No. 3, 525--527 (2014; Zbl 1291.11135) Full Text: DOI arXiv
Zorin, Evgeniy Multiplicity estimates for algebraically dependent analytic functions. (English) Zbl 1294.11121 Proc. Lond. Math. Soc. (3) 108, No. 4, 989-1029 (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11J81 11J82 11J61 11J93 11S82 11T55 PDF BibTeX XML Cite \textit{E. Zorin}, Proc. Lond. Math. Soc. (3) 108, No. 4, 989--1029 (2014; Zbl 1294.11121) Full Text: DOI arXiv
Fan, Aihua; Fan, Shilei; Liao, Lingmin; Wang, Yuefei On minimal decomposition of \(p\)-adic homographic dynamical systems. (English) Zbl 1392.37102 Adv. Math. 257, 92-135 (2014). MSC: 37P05 37A35 37B05 11S82 PDF BibTeX XML Cite \textit{A. Fan} et al., Adv. Math. 257, 92--135 (2014; Zbl 1392.37102) Full Text: DOI arXiv
Abram, William C.; Lagarias, Jeffrey C. \(p\)-adic path set fractals and arithmetic. (English) Zbl 1291.11107 J. Fractal Geom. 1, No. 1, 45-81 (2014). Reviewer: Enrico Zoli (Firenze) MSC: 11K55 11S82 28A80 37B10 PDF BibTeX XML Cite \textit{W. C. Abram} and \textit{J. C. Lagarias}, J. Fractal Geom. 1, No. 1, 45--81 (2014; Zbl 1291.11107) Full Text: DOI arXiv
Hu, Xue-Hai; Li, Bing; Xu, Jian Metric theorem and Hausdorff dimension on recurrence rate of Laurent series. (English) Zbl 1292.28015 Bull. Korean Math. Soc. 51, No. 1, 157-171 (2014). Reviewer: Peter Massopust (München) MSC: 28A80 11K55 11S82 PDF BibTeX XML Cite \textit{X.-H. Hu} et al., Bull. Korean Math. Soc. 51, No. 1, 157--171 (2014; Zbl 1292.28015) Full Text: DOI Link
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina Ergodicity criteria for non-expanding transformations of 2-adic spheres. (English) Zbl 1317.37115 Discrete Contin. Dyn. Syst. 34, No. 2, 367-377 (2014). Reviewer: Shilei Fan (Wuhan) MSC: 37P20 11S82 PDF BibTeX XML Cite \textit{V. Anashin} et al., Discrete Contin. Dyn. Syst. 34, No. 2, 367--377 (2014; Zbl 1317.37115) Full Text: DOI arXiv
Jeong, Sangtae Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series. (English) Zbl 1295.37023 J. Number Theory 133, No. 9, 2874-2891 (2013). MSC: 37P20 11S80 37P30 37A45 11S82 PDF BibTeX XML Cite \textit{S. Jeong}, J. Number Theory 133, No. 9, 2874--2891 (2013; Zbl 1295.37023) Full Text: DOI arXiv
Okuyama, Yûsuke Approximation of Lyapunov exponents in non-archimedean and complex dynamics. (English) Zbl 1302.37071 Matsuzaki, Katsuhiko (ed.) et al., Topics in finite or infinite dimensional complex analysis. Proceedings of the 19th international conference on finite or infinite dimensional complex analysis and applications (ICFIDCAA), Hiroshima, Japan, December 11–15, 2011. Sendai: Tohoku University Press (ISBN 978-4-86163-219-8/hbk). 217-222 (2013). MSC: 37P50 11S82 PDF BibTeX XML Cite \textit{Y. Okuyama}, in: Topics in finite or infinite dimensional complex analysis. Proceedings of the 19th international conference on finite or infinite dimensional complex analysis and applications (ICFIDCAA), Hiroshima, Japan, December 11--15, 2011. Sendai: Tohoku University Press. 217--222 (2013; Zbl 1302.37071) Full Text: arXiv
Towsley, Adam A Hasse principle for periodic points. (English) Zbl 1281.11100 Int. J. Number Theory 9, No. 8, 2053-2068 (2013). MSC: 11S82 37P05 37P35 PDF BibTeX XML Cite \textit{A. Towsley}, Int. J. Number Theory 9, No. 8, 2053--2068 (2013; Zbl 1281.11100) Full Text: DOI arXiv
Okuyama, Yûsuke Adelic equidistribution, characterization of equidistribution, and a general equidistribution theorem in non-Archimedean dynamics. (English) Zbl 1302.37070 Acta Arith. 161, No. 2, 101-125 (2013). MSC: 37P50 11S82 37P20 PDF BibTeX XML Cite \textit{Y. Okuyama}, Acta Arith. 161, No. 2, 101--125 (2013; Zbl 1302.37070) Full Text: DOI arXiv
Maller, M.; Whitehead, J. \(p\)-adic dynamics and angle doubling. (English) Zbl 1283.37074 \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 1, 14-21 (2013). Reviewer: Jorge Pineiro (Bronx) MSC: 37P20 11S82 11D88 11E95 37B10 PDF BibTeX XML Cite \textit{M. Maller} and \textit{J. Whitehead}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 1, 14--21 (2013; Zbl 1283.37074) Full Text: DOI
Kool, J. Dynamics measured in a non-Archimedean field. (English) Zbl 1302.37062 \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 1, 1-13 (2013). Reviewer: Franco Vivaldi (London) MSC: 37P20 11S82 PDF BibTeX XML Cite \textit{J. Kool}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 5, No. 1, 1--13 (2013; Zbl 1302.37062) Full Text: DOI
Sarkis, Ghassan; Specter, Joel Galois extensions of height-one commuting dynamical systems. (English. French summary) Zbl 1292.37008 J. Théor. Nombres Bordx. 25, No. 1, 163-178 (2013). MSC: 37P20 11S31 11S82 11S15 14L05 PDF BibTeX XML Cite \textit{G. Sarkis} and \textit{J. Specter}, J. Théor. Nombres Bordx. 25, No. 1, 163--178 (2013; Zbl 1292.37008) Full Text: DOI Link arXiv
Fan, Shilei; Wang, Yuefei Dynamics of transcendental entire maps on Berkovich affine line. (English) Zbl 1283.37077 J. Dyn. Differ. Equations 25, No. 1, 217-229 (2013). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 37P50 37P40 11S82 30D99 PDF BibTeX XML Cite \textit{S. Fan} and \textit{Y. Wang}, J. Dyn. Differ. Equations 25, No. 1, 217--229 (2013; Zbl 1283.37077) Full Text: DOI
Anderson, Jacqueline Bounds on the radius of the \(p\)-adic Mandelbrot set. (English) Zbl 1300.11123 Acta Arith. 158, No. 3, 253-269 (2013). Reviewer: Lingmin Liao (Créteil) MSC: 11S82 37P05 PDF BibTeX XML Cite \textit{J. Anderson}, Acta Arith. 158, No. 3, 253--269 (2013; Zbl 1300.11123) Full Text: DOI arXiv
Rocha, J. Leonel; Aleixo, Sandra M. An extension of Gompertzian growth dynamics: Weibull and Fréchet models. (English) Zbl 1260.92100 Math. Biosci. Eng. 10, No. 2, 379-398 (2013). MSC: 92D25 37B10 37N25 92B05 62H10 11S82 92C50 PDF BibTeX XML Cite \textit{J. L. Rocha} and \textit{S. M. Aleixo}, Math. Biosci. Eng. 10, No. 2, 379--398 (2013; Zbl 1260.92100) Full Text: DOI
Bruin, Nils; Molnar, Alexander Minimal models for rational functions in a dynamical setting. (English) Zbl 1300.37051 LMS J. Comput. Math. 15, 400-417 (2012). MSC: 37P05 11S82 PDF BibTeX XML Cite \textit{N. Bruin} and \textit{A. Molnar}, LMS J. Comput. Math. 15, 400--417 (2012; Zbl 1300.37051) Full Text: DOI arXiv
Adam, David; Fares, Youssef On two affine-like dynamical systems in a local field. (English) Zbl 1273.37046 J. Number Theory 132, No. 12, 2892-2906 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 37P20 11S82 PDF BibTeX XML Cite \textit{D. Adam} and \textit{Y. Fares}, J. Number Theory 132, No. 12, 2892--2906 (2012; Zbl 1273.37046) Full Text: DOI
Lin, Dongdai; Shi, Tao; Yang, Zifeng Ergodic theory over \(\mathbb F_2 [[T]]\). (English) Zbl 1279.37051 Finite Fields Appl. 18, No. 3, 473-491 (2012). Reviewer: Lingmin Liao (Créteil) MSC: 37P20 11S82 11T71 37P05 13J05 46S10 68P25 PDF BibTeX XML Cite \textit{D. Lin} et al., Finite Fields Appl. 18, No. 3, 473--491 (2012; Zbl 1279.37051) Full Text: DOI arXiv
Okuyama, Yûsuke Repelling periodic points and logarithmic equidistribution in non-archimedean dynamics. (English) Zbl 1302.37069 Acta Arith. 152, No. 3, 267-277 (2012). MSC: 37P50 11S82 37P20 PDF BibTeX XML Cite \textit{Y. Okuyama}, Acta Arith. 152, No. 3, 267--277 (2012; Zbl 1302.37069) Full Text: DOI arXiv
Amerik, Ekaterima; Bogomolov, Fedor A.; Rovinsky, Marat Remarks on endomorphisms and rational points. (English) Zbl 1231.14014 Compos. Math. 147, No. 6, 1819-1842 (2011). Reviewer: Roberto Dvornicich (Pisa) MSC: 14G05 11S82 37P55 PDF BibTeX XML Cite \textit{E. Amerik} et al., Compos. Math. 147, No. 6, 1819--1842 (2011; Zbl 1231.14014) Full Text: DOI arXiv
Kawaguchi, Shu Introduction to algebraic and arithmetic dynamics – a survey. (English) Zbl 1301.37070 RIMS Kôkyûroku Bessatsu B25, 103-123 (2011). MSC: 37Pxx 37-02 11S82 11G50 14G40 PDF BibTeX XML Cite \textit{S. Kawaguchi}, RIMS Kôkyûroku Bessatsu B25, 103--123 (2011; Zbl 1301.37070)
Anashin, Vladimir; Khrennikov, Andrei; Yurova, Ekaterina Using van der Put basis to determine if a 2-adic function is measure-preserving or ergodic w.r.t. Haar measure. (English) Zbl 1237.11051 Araujo-Gomez, Jesus (ed.) et al., Advances in non-Archimedean analysis. 11th international conference on \(p\)-adic functional analysis, Clermont-Ferrand, France, July 5–9, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5291-0/pbk). Contemporary Mathematics 551, 33-38 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S82 37P20 37A25 PDF BibTeX XML Cite \textit{V. Anashin} et al., Contemp. Math. 551, 33--38 (2011; Zbl 1237.11051)
Fan, Ai-Hua; Fares, Youssef Minimal subsystems of affine dynamics on local fields. (English) Zbl 1214.11134 Arch. Math. 96, No. 5, 423-434 (2011). MSC: 11S82 37P20 PDF BibTeX XML Cite \textit{A.-H. Fan} and \textit{Y. Fares}, Arch. Math. 96, No. 5, 423--434 (2011; Zbl 1214.11134) Full Text: DOI