Borodin, Alexei; Corwin, Ivan; Gorin, Vadim Stochastic six-vertex model. (English) Zbl 1343.82013 Duke Math. J. 165, No. 3, 563-624 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 82B23 82C24 15B51 82C22 82C20 37P30 81R12 60J10 PDFBibTeX XMLCite \textit{A. Borodin} et al., Duke Math. J. 165, No. 3, 563--624 (2016; Zbl 1343.82013) Full Text: DOI arXiv Euclid
Lee, Chong Gyu Height estimates for dominant endomorphisms on projective varieties. (English) Zbl 1416.11114 East Asian Math. J. 32, No. 1, 061-075 (2016). MSC: 11G50 37P30 32H50 37P05 PDFBibTeX XMLCite \textit{C. G. Lee}, East Asian Math. J. 32, No. 1, 061--075 (2016; Zbl 1416.11114) Full Text: DOI arXiv
Kurganskyy, Oleksiy; Potapov, Igor Reachability problems for PAMs. (English) Zbl 1448.37050 Freivalds, Rūsiņš Mārtiņš (ed.) et al., SOFSEM 2016: theory and practice of computer science. 42nd international conference on current trends in theory and practice of computer science, Harrachov, Czech Republic, January 23–28, 2016. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 9587, 356-368 (2016). MSC: 37E05 37C35 37P05 11E95 11A67 PDFBibTeX XMLCite \textit{O. Kurganskyy} and \textit{I. Potapov}, Lect. Notes Comput. Sci. 9587, 356--368 (2016; Zbl 1448.37050) Full Text: DOI arXiv
Hindes, Wade The Vojta conjecture implies Galois rigidity in dynamical families. (English) Zbl 1338.14026 Proc. Am. Math. Soc. 144, No. 5, 1931-1938 (2016). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G05 37P45 11R32 37P05 11J97 37P55 PDFBibTeX XMLCite \textit{W. Hindes}, Proc. Am. Math. Soc. 144, No. 5, 1931--1938 (2016; Zbl 1338.14026) Full Text: DOI arXiv
Kawaguchi, Shu; Silverman, Joseph H. Dynamical canonical heights for Jordan blocks, arithmetic degrees of orbits, and nef canonical heights on abelian varieties. (English) Zbl 1391.37078 Trans. Am. Math. Soc. 368, No. 7, 5009-5035 (2016); addendum ibid. 373, No. 3, 2253 (2020). MSC: 37P30 37P15 11G10 11G50 37P55 PDFBibTeX XMLCite \textit{S. Kawaguchi} and \textit{J. H. Silverman}, Trans. Am. Math. Soc. 368, No. 7, 5009--5035 (2016; Zbl 1391.37078) Full Text: DOI arXiv
Lindahl, Karl-Olof; Rivera-Letelier, Juan Optimal cycles in ultrametric dynamics and minimally ramified power series. (English) Zbl 1347.37143 Compos. Math. 152, No. 1, 187-222 (2016). Reviewer: Franco Vivaldi (London) MSC: 37P05 37P20 11S15 37F50 PDFBibTeX XMLCite \textit{K.-O. Lindahl} and \textit{J. Rivera-Letelier}, Compos. Math. 152, No. 1, 187--222 (2016; Zbl 1347.37143) Full Text: DOI arXiv
Fayad, Bassam; Kanigowski, Adam Multiple mixing for a class of conservative surface flows. (English) Zbl 1358.37018 Invent. Math. 203, No. 2, 555-614 (2016). Reviewer: Hasan Akin (Gaziantep) MSC: 37A30 37E30 37A25 PDFBibTeX XMLCite \textit{B. Fayad} and \textit{A. Kanigowski}, Invent. Math. 203, No. 2, 555--614 (2016; Zbl 1358.37018) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Fan} and \textit{L. Liao}, Proc. Am. Math. Soc. 144, No. 3, 1183--1196 (2016; Zbl 1391.37068) Full Text: DOI arXiv
Gao, Yan Preperiodic dynatomic curves for \(z\mapsto z^d+c\). (English) Zbl 1375.37133 Fundam. Math. 233, No. 1, 37-69 (2016). MSC: 37F45 12F10 14H50 37F10 37P05 PDFBibTeX XMLCite \textit{Y. Gao}, Fundam. Math. 233, No. 1, 37--69 (2016; Zbl 1375.37133) Full Text: DOI
Shparlinski, Igor E. Groups generated by iterations of polynomials over finite fields. (English) Zbl 1347.11084 Proc. Edinb. Math. Soc., II. Ser. 59, No. 1, 235-245 (2016). Reviewer: Florian Pausinger (Garching) MSC: 11T06 11T24 37P05 PDFBibTeX XMLCite \textit{I. E. Shparlinski}, Proc. Edinb. Math. Soc., II. Ser. 59, No. 1, 235--245 (2016; Zbl 1347.11084) Full Text: DOI
Okuyama, Yûsuke Effective divisors on the projective line having small diagonals and small heights and their application to adelic dynamics. (English) Zbl 1391.37079 Pac. J. Math. 280, No. 1, 141-175 (2016). Reviewer: Franco Vivaldi (London) MSC: 37P30 11G50 37P50 37F10 PDFBibTeX XMLCite \textit{Y. Okuyama}, Pac. J. Math. 280, No. 1, 141--175 (2016; Zbl 1391.37079) Full Text: DOI arXiv
Wakefield, Nathan Generalized iterations and primitive divisors. (English) Zbl 1347.37150 J. Number Theory 159, 273-294 (2016). Reviewer: Franco Vivaldi (London) MSC: 37P05 11G50 PDFBibTeX XMLCite \textit{N. Wakefield}, J. Number Theory 159, 273--294 (2016; Zbl 1347.37150) Full Text: DOI
Fares, Youssef; Petite, Samuel The valuative capacity of subshifts of finite type. (English) Zbl 1400.37110 J. Number Theory 158, 165-184 (2016). MSC: 37P05 11B65 31C15 37B50 PDFBibTeX XMLCite \textit{Y. Fares} and \textit{S. Petite}, J. Number Theory 158, 165--184 (2016; Zbl 1400.37110) Full Text: DOI
Leguil, Martin WITHDRAWN: Exponential decay of the size of spectral gaps for quasiperiodic Schrödinger operators. arXiv:1607.03422 Preprint, arXiv:1607.03422 [math.DS] (2016); retraction notice ibid. MSC: 37P99 BibTeX Cite \textit{M. Leguil}, ``WITHDRAWN: Exponential decay of the size of spectral gaps for quasiperiodic Schr\"odinger operators'', Preprint, arXiv:1607.03422 [math.DS] (2016); retraction notice ibid. Full Text: arXiv OA License
Breen, Benjamin; Jones, Rafe; Occhipinti, Tommy; Yuen, Michelle Wild ramification in a family of low-degree extensions arising from iteration. (English) Zbl 1499.11331 JP J. Algebra Number Theory Appl. 37, No. 1, 69-104 (2015). MSC: 11R21 11R32 37P05 11R09 PDFBibTeX XMLCite \textit{B. Breen} et al., JP J. Algebra Number Theory Appl. 37, No. 1, 69--104 (2015; Zbl 1499.11331) Full Text: DOI arXiv
Tlelo-Cuautle, E.; Rangel-Magdaleno, J. J.; Pano-Azucena, A. D.; Obeso-Rodelo, P. J.; Nunez-Perez, J. C. FPGA realization of multi-scroll chaotic oscillators. (English) Zbl 1457.37052 Commun. Nonlinear Sci. Numer. Simul. 27, No. 1-3, 66-80 (2015). MSC: 37D45 37M05 37N35 65L06 34-04 34C28 PDFBibTeX XMLCite \textit{E. Tlelo-Cuautle} et al., Commun. Nonlinear Sci. Numer. Simul. 27, No. 1--3, 66--80 (2015; Zbl 1457.37052) Full Text: DOI
Glazunov, N. M. Extremal forms and rigidity in arithmetic geometry and in dynamics. (Russian. English summary) Zbl 1440.37011 Chebyshevskiĭ Sb. 16, No. 3(55), 124-146 (2015). MSC: 37A46 14G22 37P99 37A44 11P32 PDFBibTeX XMLCite \textit{N. M. Glazunov}, Chebyshevskiĭ Sb. 16, No. 3(55), 124--146 (2015; Zbl 1440.37011) Full Text: MNR
Ghioca, Dragos; Nguyen, Khoa; Tucker, Thomas J. Portraits of preperiodic points for rational maps. (English) Zbl 1371.11109 Math. Proc. Camb. Philos. Soc. 159, No. 1, 165-186 (2015). MSC: 11G50 37P30 PDFBibTeX XMLCite \textit{D. Ghioca} et al., Math. Proc. Camb. Philos. Soc. 159, No. 1, 165--186 (2015; Zbl 1371.11109) Full Text: DOI arXiv
Srzednicki, Roman On computer-assisted proving the existence of periodic and bounded orbits. (English) Zbl 1373.37041 Ann. Math. Sil. 29, 7-17 (2015). MSC: 37B30 37C27 37M99 65P99 PDFBibTeX XMLCite \textit{R. Srzednicki}, Ann. Math. Sil. 29, 7--17 (2015; Zbl 1373.37041) Full Text: DOI
Roberts, John A. G.; Vivaldi, Franco Arithmetic exponents in piecewise-affine planar maps. (English) Zbl 1364.37182 Physica D 298-299, 1-12 (2015). MSC: 37P15 37P30 37D45 37M05 PDFBibTeX XMLCite \textit{J. A. G. Roberts} and \textit{F. Vivaldi}, Physica D 298--299, 1--12 (2015; Zbl 1364.37182) Full Text: DOI arXiv
Yasufuku, Yu Arithmetic properties of orbits in higher dimensions. (Japanese. English summary) Zbl 1369.37092 RIMS Kôkyûroku Bessatsu B53, 231-242 (2015). MSC: 37P55 11J97 37P15 PDFBibTeX XMLCite \textit{Y. Yasufuku}, RIMS Kôkyûroku Bessatsu B53, 231--242 (2015; Zbl 1369.37092)
Goksel, Vefa; Xia, Shixiang; Boston, Nigel A refined conjecture for factorizations of iterates of quadratic polynomials over finite fields. (English) Zbl 1418.11158 Exp. Math. 24, No. 3, 304-311 (2015). MSC: 11T55 37P25 60J20 PDFBibTeX XMLCite \textit{V. Goksel} et al., Exp. Math. 24, No. 3, 304--311 (2015; Zbl 1418.11158) Full Text: DOI arXiv
Ward, Thomas; Miles, Richard Directional uniformities, periodic points, and entropy. (English) Zbl 1347.37035 Discrete Contin. Dyn. Syst., Ser. B 20, No. 10, 3525-3545 (2015). Reviewer: Yujun Zhu (Shijiazhuang) MSC: 37B40 37C25 37P35 37C40 37C85 PDFBibTeX XMLCite \textit{T. Ward} and \textit{R. Miles}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 10, 3525--3545 (2015; Zbl 1347.37035) Full Text: DOI arXiv
Grill, Karl; Tutschka, Christian Ergodicity of two particles with attractive interaction. (English) Zbl 1337.37008 Discrete Contin. Dyn. Syst. 35, No. 10, 4831-4838 (2015). MSC: 37A60 82B21 PDFBibTeX XMLCite \textit{K. Grill} and \textit{C. Tutschka}, Discrete Contin. Dyn. Syst. 35, No. 10, 4831--4838 (2015; Zbl 1337.37008) Full Text: DOI
Chen, Huayi; Moriwaki, Atsushi Algebraic dynamical systems and Dirichlet’s unit theorem on arithmetic varieties. (English) Zbl 1357.14035 Int. Math. Res. Not. 2015, No. 24, 13669-13716 (2015). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G40 37P30 11G50 PDFBibTeX XMLCite \textit{H. Chen} and \textit{A. Moriwaki}, Int. Math. Res. Not. 2015, No. 24, 13669--13716 (2015; Zbl 1357.14035) Full Text: DOI arXiv
Ingram, Patrick Variation of the canonical height for polynomials in several variables. (English) Zbl 1333.14024 Int. Math. Res. Not. 2015, No. 24, 13545-13562 (2015). Reviewer: Michel Waldschmidt (Paris) MSC: 14G40 14G25 37P05 PDFBibTeX XMLCite \textit{P. Ingram}, Int. Math. Res. Not. 2015, No. 24, 13545--13562 (2015; Zbl 1333.14024) Full Text: DOI arXiv
MacKernan, Donal Coarse graining approach to chaos. (English) Zbl 1329.37086 Nicolis, Gregoire (ed.) et al., Chaos, information processing and paradoxical games. The legacy of John S. Nicolis. Hackensack, NJ: World Scientific (ISBN 978-981-4602-12-9/hbk; 978-981-4602-14-3/ebook). 63-86 (2015). MSC: 37P45 PDFBibTeX XMLCite \textit{D. MacKernan}, in: Chaos, information processing and paradoxical games. The legacy of John S. Nicolis. Hackensack, NJ: World Scientific. 63--86 (2015; Zbl 1329.37086) Full Text: DOI
Canci, Jung Kyu Preperiodic points for rational functions defined over a rational function field of characteristic zero. (English) Zbl 1391.37081 New York J. Math. 21, 1295-1310 (2015). MSC: 37P35 37P05 PDFBibTeX XMLCite \textit{J. K. Canci}, New York J. Math. 21, 1295--1310 (2015; Zbl 1391.37081) Full Text: arXiv EMIS
Cho, Ilwoo; Jorgensen, Palle E. T. Free \(W^*\)-dynamical systems from \(p\)-adic number fields and the Euler totient function. (English) Zbl 1346.46058 Mathematics 3, No. 4, 1095-1138 (2015). MSC: 46L54 46S10 11A25 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Mathematics 3, No. 4, 1095--1138 (2015; Zbl 1346.46058) Full Text: DOI
Pottmeyer, Lukas Heights of points with bounded ramification. (English) Zbl 1328.11074 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 14, No. 3, 965-981 (2015); erratum ibid. 24, No. 3, 1893-1894 (2023). Reviewer: David McKinnon (Waterloo) MSC: 11G50 37P30 14H52 PDFBibTeX XMLCite \textit{L. Pottmeyer}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 14, No. 3, 965--981 (2015; Zbl 1328.11074) Full Text: DOI arXiv
Benedetto, Robert L. Attaining potentially good reduction in arithmetic dynamics. (English) Zbl 1392.37099 Int. Math. Res. Not. 2015, No. 22, 11828-11846 (2015). MSC: 37P05 37P20 PDFBibTeX XMLCite \textit{R. L. Benedetto}, Int. Math. Res. Not. 2015, No. 22, 11828--11846 (2015; Zbl 1392.37099) Full Text: DOI arXiv
Anashin, V. S. Quantization causes waves: smooth finitely computable functions are affine. (English) Zbl 1328.81136 \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 3, 169-227 (2015). MSC: 81S05 26E30 37B15 37P99 68Q45 PDFBibTeX XMLCite \textit{V. S. Anashin}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 3, 169--227 (2015; Zbl 1328.81136) Full Text: DOI arXiv
Kułaga-Przymus, J.; Lemańczyk, M. The Möbius function and continuous extensions of rotations. (English) Zbl 1359.37019 Monatsh. Math. 178, No. 4, 553-582 (2015). MSC: 37A45 11N37 37B05 PDFBibTeX XMLCite \textit{J. Kułaga-Przymus} and \textit{M. Lemańczyk}, Monatsh. Math. 178, No. 4, 553--582 (2015; Zbl 1359.37019) Full Text: DOI arXiv
Galias, Zbigniew Rigorous numerical study of low-period windows for the quadratic map. (English) Zbl 1326.65174 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550139, 14 p. (2015). MSC: 65P30 37E05 PDFBibTeX XMLCite \textit{Z. Galias}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 10, Article ID 1550139, 14 p. (2015; Zbl 1326.65174) Full Text: DOI
Favre, C.; Gauthier, T. Distribution of postcritically finite polynomials. (English) Zbl 1352.37202 Isr. J. Math. 209, Part 1, 235-292 (2015). MSC: 37P05 11K55 37P30 PDFBibTeX XMLCite \textit{C. Favre} and \textit{T. Gauthier}, Isr. J. Math. 209, Part 1, 235--292 (2015; Zbl 1352.37202) Full Text: DOI arXiv
Zanardo, Paolo Algebraic entropy for valuation domains. (English) Zbl 1359.37015 Topol. Algebra Appl. 3, 34-44 (2015). MSC: 37A35 13F30 37P99 PDFBibTeX XMLCite \textit{P. Zanardo}, Topol. Algebra Appl. 3, 34--44 (2015; Zbl 1359.37015) Full Text: DOI
Aistleitner, Christoph On some questions of V.I. Arnold on the stochasticity of geometric and arithmetic progressions. (English) Zbl 1377.11085 Nonlinearity 28, No. 10, 3663-3675 (2015). MSC: 11K45 60C05 37A50 37A45 PDFBibTeX XMLCite \textit{C. Aistleitner}, Nonlinearity 28, No. 10, 3663--3675 (2015; Zbl 1377.11085) Full Text: DOI arXiv
Pottmeyer, Lukas Heights and totally \(p\)-adic numbers. (English) Zbl 1358.37128 Acta Arith. 171, No. 3, 277-291 (2015). MSC: 37P30 11S82 11R04 PDFBibTeX XMLCite \textit{L. Pottmeyer}, Acta Arith. 171, No. 3, 277--291 (2015; Zbl 1358.37128) Full Text: DOI arXiv
Amparan, A.; Marcaida, S.; Zaballa, Ion Finite and infinite structures of rational matrices: a local approach. (English) Zbl 1326.15028 Electron. J. Linear Algebra 30, 196-226 (2015). MSC: 15A54 15A21 37P05 15A72 PDFBibTeX XMLCite \textit{A. Amparan} et al., Electron. J. Linear Algebra 30, 196--226 (2015; Zbl 1326.15028) Full Text: DOI
Berteloot, François; Gauthier, Thomas On the geometry of bifurcation currents for quadratic rational maps. (English) Zbl 1339.37035 Ergodic Theory Dyn. Syst. 35, No. 5, 1369-1379 (2015). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F10 37F45 37F50 37P45 PDFBibTeX XMLCite \textit{F. Berteloot} and \textit{T. Gauthier}, Ergodic Theory Dyn. Syst. 35, No. 5, 1369--1379 (2015; Zbl 1339.37035) Full Text: DOI arXiv
Mrozek, Marian; Srzednicki, Roman; Weilandt, Frank A topological approach to the algorithmic computation of the Conley index for Poincaré maps. (English) Zbl 1325.65175 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1348-1386 (2015). MSC: 65P20 37B10 37C25 37B30 37B55 PDFBibTeX XMLCite \textit{M. Mrozek} et al., SIAM J. Appl. Dyn. Syst. 14, No. 3, 1348--1386 (2015; Zbl 1325.65175) Full Text: DOI
Ruggiero, Matteo Classification of one-dimensional superattracting germs in positive characteristic. (English) Zbl 1332.37067 Ergodic Theory Dyn. Syst. 35, No. 7, 2242-2268 (2015). Reviewer: Thomas Gauthier (Amiens) MSC: 37P20 37P10 PDFBibTeX XMLCite \textit{M. Ruggiero}, Ergodic Theory Dyn. Syst. 35, No. 7, 2242--2268 (2015; Zbl 1332.37067) Full Text: DOI arXiv
Petsche, Clayton On the distribution of orbits in affine varieties. (English) Zbl 1338.37133 Ergodic Theory Dyn. Syst. 35, No. 7, 2231-2241 (2015). Reviewer: Yu Yasufuku (Tokyo) MSC: 37P55 37P35 37P50 37A05 14J50 14G22 PDFBibTeX XMLCite \textit{C. Petsche}, Ergodic Theory Dyn. Syst. 35, No. 7, 2231--2241 (2015; Zbl 1338.37133) Full Text: DOI arXiv
Pourbarat, M. Stable intersection of middle-{\(\alpha\)} Cantor sets. (English) Zbl 1358.37054 Commun. Contemp. Math. 17, No. 5, Article ID 1550030, 19 p. (2015). MSC: 37C45 28A80 37G25 PDFBibTeX XMLCite \textit{M. Pourbarat}, Commun. Contemp. Math. 17, No. 5, Article ID 1550030, 19 p. (2015; Zbl 1358.37054) Full Text: DOI arXiv
Ih, Su-Ion Integral points on the Chebyshev dynamical systems. (English) Zbl 1392.37105 J. Korean Math. Soc. 52, No. 5, 955-964 (2015). MSC: 37P05 11G50 14G05 14G40 37P30 37P35 PDFBibTeX XMLCite \textit{S.-I. Ih}, J. Korean Math. Soc. 52, No. 5, 955--964 (2015; Zbl 1392.37105) Full Text: DOI Link
Prykarpatski, Anatolij K. Ergodic theory, Boole type transformations, dynamical systems theory. (English) Zbl 1327.34016 Mityushev, Vladimir V. (ed.) et al., Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5–9, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-12576-3/pbk; 978-3-319-12577-0/ebook). Trends in Mathematics. Research Perspectives, 325-333 (2015). MSC: 34A30 34B05 34B15 35D35 35J60 35Q82 PDFBibTeX XMLCite \textit{A. K. Prykarpatski}, in: Current trends in analysis and its applications. Proceedings of the 9th ISAAC congress, Kraków, Poland, August 5--9, 2013. Cham: Birkhäuser/Springer. 325--333 (2015; Zbl 1327.34016) Full Text: DOI
Karagulyan, Davit On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms. (English) Zbl 1358.37073 Ark. Mat. 53, No. 2, 317-327 (2015). MSC: 37E05 11N56 37B40 37E30 PDFBibTeX XMLCite \textit{D. Karagulyan}, Ark. Mat. 53, No. 2, 317--327 (2015; Zbl 1358.37073) Full Text: DOI
Baxa, Ch. Book review of: J. H. Silverman, Moduli spaces and arithmetic dynamics. (English) Zbl 1321.00015 Monatsh. Math. 178, No. 1, 164 (2015). MSC: 00A17 37-02 37P45 37P30 37P05 37A45 14D20 14D22 PDFBibTeX XMLCite \textit{Ch. Baxa}, Monatsh. Math. 178, No. 1, 164 (2015; Zbl 1321.00015)
de Faria, João Alberto; Hutz, Benjamin Combinatorics of cycle lengths on Wehler K3 surfaces over finite fields. (English) Zbl 1391.37091 N. Z. J. Math. 45, 19-31 (2015). MSC: 37P55 37E30 37C80 PDFBibTeX XMLCite \textit{J. A. de Faria} and \textit{B. Hutz}, N. Z. J. Math. 45, 19--31 (2015; Zbl 1391.37091) Full Text: arXiv Link
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 PDFBibTeX XMLCite \textit{E. Trucco}, Bull. Lond. Math. Soc. 47, No. 4, 663--674 (2015; Zbl 1394.37129) Full Text: DOI
Yefremov, A. P. “General theory of particle mechanics” arising from a fractal surface. (English) Zbl 1321.83039 Gravit. Cosmol. 21, No. 1, 19-27 (2015). MSC: 83D05 37F35 11R52 PDFBibTeX XMLCite \textit{A. P. Yefremov}, Gravit. Cosmol. 21, No. 1, 19--27 (2015; Zbl 1321.83039) Full Text: DOI arXiv
Sopin, V. Criteria of measure-preserving for \(p^k\)-Lipschitz mappings. (English) Zbl 1347.37151 \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 1, 76-79 (2015). MSC: 37P10 37A05 PDFBibTeX XMLCite \textit{V. Sopin}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 1, 76--79 (2015; Zbl 1347.37151) Full Text: DOI
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 PDFBibTeX XMLCite \textit{I. A. Sattarov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 7, No. 1, 39--55 (2015; Zbl 1347.37149) Full Text: DOI
De Marco, Laura; Wang, Xiaoguang; Ye, Hexi Bifurcation measures and quadratic rational maps. (English) Zbl 1351.37193 Proc. Lond. Math. Soc. (3) 111, No. 1, 149-180 (2015). Reviewer: Franco Vivaldi (London) MSC: 37F45 37P30 PDFBibTeX XMLCite \textit{L. De Marco} et al., Proc. Lond. Math. Soc. (3) 111, No. 1, 149--180 (2015; Zbl 1351.37193) Full Text: DOI arXiv
Jonsson, Mattias Dynamics on Berkovich spaces in low dimensions. (English) Zbl 1401.37103 Ducros, Antoine (ed.) et al., Berkovich spaces and applications. Based on a workshop, Santiago de Chile, Chile, January 2008 and a summer school, Paris, France, June 2010. Cham: Springer (ISBN 978-3-319-11028-8/pbk; 978-3-319-11029-5/ebook). Lecture Notes in Mathematics 2119, 205-366 (2015). MSC: 37P20 37P05 14G22 PDFBibTeX XMLCite \textit{M. Jonsson}, Lect. Notes Math. 2119, 205--366 (2015; Zbl 1401.37103) Full Text: DOI arXiv
Fili, Paul; Miner, Zachary Equidistribution and the heights of totally real and totally \(p\)-adic numbers. (English) Zbl 1380.11084 Acta Arith. 170, No. 1, 15-25 (2015). Reviewer: Artūras Dubickas (Vilnius) MSC: 11G50 11R80 37P30 PDFBibTeX XMLCite \textit{P. Fili} and \textit{Z. Miner}, Acta Arith. 170, No. 1, 15--25 (2015; Zbl 1380.11084) Full Text: DOI arXiv
Hutz, Benjamin; Towsley, Adam Misiurewicz points for polynomial maps and transversality. (English) Zbl 1391.37071 New York J. Math. 21, 297-319 (2015). MSC: 37P05 37P35 11B83 37P45 PDFBibTeX XMLCite \textit{B. Hutz} and \textit{A. Towsley}, New York J. Math. 21, 297--319 (2015; Zbl 1391.37071) Full Text: arXiv EMIS
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 PDFBibTeX XMLCite \textit{R. Rumely}, Acta Arith. 169, No. 3, 251--290 (2015; Zbl 1379.37148) Full Text: DOI arXiv
Roche-Newton, Oliver; Shparlinski, Igor E. Polynomial values in subfields and affine subspaces of finite fields. (English) Zbl 1396.11016 Q. J. Math. 66, No. 2, 693-706 (2015). Reviewer: Julia Wolf (Bristol) (MR3356845) MSC: 11B13 11B30 11T06 37P05 PDFBibTeX XMLCite \textit{O. Roche-Newton} and \textit{I. E. Shparlinski}, Q. J. Math. 66, No. 2, 693--706 (2015; Zbl 1396.11016) Full Text: DOI arXiv
Maubach, Stefan; Rauf, Abdul The profinite polynomial automorphism group. (English) Zbl 1327.14264 J. Pure Appl. Algebra 219, No. 10, 4708-4727 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 14R20 20B25 37P05 11T06 12E20 PDFBibTeX XMLCite \textit{S. Maubach} and \textit{A. Rauf}, J. Pure Appl. Algebra 219, No. 10, 4708--4727 (2015; Zbl 1327.14264) Full Text: DOI arXiv Link
Krieger, Holly; Levin, Aaron; Scherr, Zachary; Tucker, Thomas; Yasufuku, Yu; Zieve, Michael E. Uniform boundedness of \(S\)-units in arithmetic dynamics. (English) Zbl 1403.37102 Pac. J. Math. 274, No. 1, 97-106 (2015). Reviewer: Sungkon Chang (Savannah) MSC: 37P05 37P15 11G35 14G25 PDFBibTeX XMLCite \textit{H. Krieger} et al., Pac. J. Math. 274, No. 1, 97--106 (2015; Zbl 1403.37102) Full Text: DOI arXiv
Hindes, Wade The arithmetic of curves defined by iteration. (English) Zbl 1330.14032 Acta Arith. 169, No. 1, 1-27 (2015). Reviewer: Yu Yasufuku (Tokyo) MSC: 14G05 37P05 12F10 37P15 11G30 11G05 14H45 20E08 37P55 14H25 PDFBibTeX XMLCite \textit{W. Hindes}, Acta Arith. 169, No. 1, 1--27 (2015; Zbl 1330.14032) Full Text: DOI arXiv
Pezda, Tadeusz Cycles of polynomial mappings in several variables over discrete valuation rings and over \(\mathbb Z\). (English) Zbl 1317.13047 Mich. Math. J. 64, No. 1, 109-142 (2015). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 13F20 37P05 11C08 11R11 11S05 13F05 14E05 37P20 11R04 PDFBibTeX XMLCite \textit{T. Pezda}, Mich. Math. J. 64, No. 1, 109--142 (2015; Zbl 1317.13047) Full Text: DOI Euclid
Junyi, Xie Periodic points of birational transformations on projective surfaces. (English) Zbl 1392.37120 Duke Math. J. 164, No. 5, 903-932 (2015). Reviewer: Franco Vivaldi (London) MSC: 37P55 37C25 14J50 PDFBibTeX XMLCite \textit{X. Junyi}, Duke Math. J. 164, No. 5, 903--932 (2015; Zbl 1392.37120) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{S. Fan} and \textit{L. Liao}, J. Differ. Equations 259, No. 4, 1628--1648 (2015; Zbl 1392.37109) Full Text: DOI arXiv
Mohammadi, Amir; Oh, Hee Matrix coefficients, counting and primes for orbits of geometrically finite groups. (English) Zbl 1391.11137 J. Eur. Math. Soc. (JEMS) 17, No. 4, 837-897 (2015). MSC: 11N45 11F06 37F35 22E40 37A17 20H20 PDFBibTeX XMLCite \textit{A. Mohammadi} and \textit{H. Oh}, J. Eur. Math. Soc. (JEMS) 17, No. 4, 837--897 (2015; Zbl 1391.11137) Full Text: DOI arXiv
Cho, Ilwoo Dynamical systems on arithmetic functions determined by primes. (English) Zbl 1332.46066 Banach J. Math. Anal. 9, No. 1, 173-215 (2015). MSC: 46L54 05E15 11R47 46L40 47L15 47L55 PDFBibTeX XMLCite \textit{I. Cho}, Banach J. Math. Anal. 9, No. 1, 173--215 (2015; Zbl 1332.46066) Full Text: DOI Euclid
Nguyen, Khoa Some arithmetic dynamics of diagonally split polynomial maps. (English) Zbl 1391.37073 Int. Math. Res. Not. 2015, No. 5, 1159-1199 (2015). MSC: 37P05 37P15 11G35 PDFBibTeX XMLCite \textit{K. Nguyen}, Int. Math. Res. Not. 2015, No. 5, 1159--1199 (2015; Zbl 1391.37073) Full Text: DOI arXiv
Furno, Joanna Approximations for \(p\)-adic transitive isometries. (English) Zbl 1370.37019 Topol. Proc. 46, 323-338 (2015). MSC: 37A40 37P05 11K41 PDFBibTeX XMLCite \textit{J. Furno}, Topol. Proc. 46, 323--338 (2015; Zbl 1370.37019)
Chang, Mei-Chu On periods modulo \(p\) in arithmetic dynamics. (Sur les périodes modulo \(p\) des systèmes dynamiques arithmétiques.) (English. Abridged French version) Zbl 1323.37055 C. R., Math., Acad. Sci. Paris 353, No. 4, 283-285 (2015). Reviewer: Franco Vivaldi (London) MSC: 37P05 11G35 PDFBibTeX XMLCite \textit{M.-C. Chang}, C. R., Math., Acad. Sci. Paris 353, No. 4, 283--285 (2015; Zbl 1323.37055) 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
Nguyen, Khoa D. Algebraic independence of local conjugacies and related questions in polynomial dynamics. (English) Zbl 1311.11068 Proc. Am. Math. Soc. 143, No. 4, 1491-1499 (2015). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 37F10 37P30 11J91 PDFBibTeX XMLCite \textit{K. D. Nguyen}, Proc. Am. Math. Soc. 143, No. 4, 1491--1499 (2015; Zbl 1311.11068) Full Text: DOI arXiv
Bhatnagar, Anupam The moduli space of totally marked degree two rational maps. (English) Zbl 1371.14054 Acta Arith. 167, No. 3, 251-260 (2015). Reviewer: Federico Quallbrunn (Buenos Aires) MSC: 14L30 14L24 14D22 37P45 PDFBibTeX XMLCite \textit{A. Bhatnagar}, Acta Arith. 167, No. 3, 251--260 (2015; Zbl 1371.14054) Full Text: DOI arXiv
Lee, Chong Gyu; Ye, Hexi Finiteness of commutable maps of bounded degree. (English) Zbl 1323.37057 Bull. Korean Math. Soc. 52, No. 1, 45-56 (2015). Reviewer: Franco Vivaldi (London) MSC: 37P05 37P35 11C08 37F10 PDFBibTeX XMLCite \textit{C. G. Lee} and \textit{H. Ye}, Bull. Korean Math. Soc. 52, No. 1, 45--56 (2015; Zbl 1323.37057) Full Text: DOI arXiv Link
Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. Preperiodic points for families of rational maps. (English) Zbl 1317.37112 Proc. Lond. Math. Soc. (3) 110, No. 2, 395-427 (2015). Reviewer: Franco Vivaldi (London) MSC: 37P05 37P30 11G50 14G40 PDFBibTeX XMLCite \textit{D. Ghioca} et al., Proc. Lond. Math. Soc. (3) 110, No. 2, 395--427 (2015; Zbl 1317.37112) Full Text: DOI arXiv
Gorodnik, Alexander; Nevo, Amos Quantitative ergodic theorems and their number-theoretic applications. (English) Zbl 1351.37039 Bull. Am. Math. Soc., New Ser. 52, No. 1, 65-113 (2015). MSC: 37A45 37A15 37P55 22E46 11J83 11F70 22D40 37A30 PDFBibTeX XMLCite \textit{A. Gorodnik} and \textit{A. Nevo}, Bull. Am. Math. Soc., New Ser. 52, No. 1, 65--113 (2015; Zbl 1351.37039) Full Text: DOI arXiv
Jones, Rafe Fixed-point-free elements of iterated monodromy groups. (English) Zbl 1385.37063 Trans. Am. Math. Soc. 367, No. 3, 2023-2049 (2015). MSC: 37F10 20E08 37P05 37F20 PDFBibTeX XMLCite \textit{R. Jones}, Trans. Am. Math. Soc. 367, No. 3, 2023--2049 (2015; Zbl 1385.37063) Full Text: DOI arXiv
Petsche, Clayton; Stout, Brian On quadratic rational maps with prescribed good reduction. (English) Zbl 1392.37110 Proc. Am. Math. Soc. 143, No. 3, 1145-1158 (2015). MSC: 37P15 37P45 14G25 PDFBibTeX XMLCite \textit{C. Petsche} and \textit{B. Stout}, Proc. Am. Math. Soc. 143, No. 3, 1145--1158 (2015; Zbl 1392.37110) Full Text: DOI arXiv
Faber, Xander Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials. (English) Zbl 1392.37116 Proc. Am. Math. Soc. 143, No. 2, 685-694 (2015). MSC: 37P35 37P05 37P40 14E05 PDFBibTeX XMLCite \textit{X. Faber}, Proc. Am. Math. Soc. 143, No. 2, 685--694 (2015; Zbl 1392.37116) Full Text: DOI arXiv
Hutz, Benjamin Determination of all rational preperiodic points for morphisms of PN. (English) Zbl 1392.37104 Math. Comput. 84, No. 291, 289-308 (2015). MSC: 37P05 37P15 37P45 PDFBibTeX XMLCite \textit{B. Hutz}, Math. Comput. 84, No. 291, 289--308 (2015; Zbl 1392.37104) Full Text: DOI arXiv
Faber, Xander; Manes, Michelle; Viray, Bianca Computing conjugating sets and automorphism groups of rational functions. (English) Zbl 1391.37066 J. Algebra 423, 1161-1190 (2015). MSC: 37P05 11Y16 PDFBibTeX XMLCite \textit{X. Faber} et al., J. Algebra 423, 1161--1190 (2015; Zbl 1391.37066) 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 PDFBibTeX XMLCite \textit{C.-L. Sun}, J. Number Theory 147, 533--548 (2015; Zbl 1394.11078) Full Text: DOI
Dai, Xiongping Grünwald version of van der Waerden’s theorem for semi-modules. arXiv:1512.08695 Preprint, arXiv:1512.08695 [math.DS] (2015). MSC: 37B20 11B25 05E15 BibTeX Cite \textit{X. Dai}, ``Gr\"unwald version of van der Waerden's theorem for semi-modules'', Preprint, arXiv:1512.08695 [math.DS] (2015) Full Text: arXiv OA License
Yang, Jinghua; Wang, Yuefei On p-adic Mobius maps. arXiv:1512.01305 Preprint, arXiv:1512.01305 [math.DS] (2015). MSC: 51B10 32P05 37P05 40A05 BibTeX Cite \textit{J. Yang} and \textit{Y. Wang}, ``On p-adic Mobius maps'', Preprint, arXiv:1512.01305 [math.DS] (2015) Full Text: arXiv OA License
Kanki, Masataka; Takahashi, Yuki; Tokihiro, Tetsuji Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields. arXiv:1511.04509 Preprint, arXiv:1511.04509 [nlin.SI] (2015). MSC: 37K10 37P05 37P25 37J35 BibTeX Cite \textit{M. Kanki} et al., ``Graphs emerging from the solutions to the periodic discrete Toda equation over finite fields'', Preprint, arXiv:1511.04509 [nlin.SI] (2015) Full Text: DOI arXiv OA License
Fan, Shilei; Liao, Lingmin Dynamics of Chebyshev polynomials on \(\mathbb{Z}_{2}\). arXiv:1511.03529 Preprint, arXiv:1511.03529 [math.DS] (2015). MSC: 37P05 11S82 37B05 BibTeX Cite \textit{S. Fan} and \textit{L. Liao}, ``Dynamics of Chebyshev polynomials on $\mathbb{Z}_{2}$'', Preprint, arXiv:1511.03529 [math.DS] (2015) Full Text: arXiv OA License
Levy, Alon Isolated Periodic Points in Several Nonarchimedean Variables. arXiv:1511.00793 Preprint, arXiv:1511.00793 [math.NT] (2015). MSC: 37P55 37P20 14T05 BibTeX Cite \textit{A. Levy}, ``Isolated Periodic Points in Several Nonarchimedean Variables'', Preprint, arXiv:1511.00793 [math.NT] (2015) Full Text: arXiv OA License
Lowenstein, John H; Vivaldi, Franco Continuous self-similarity in parametric piecewise isometries. arXiv:1508.05885 Preprint, arXiv:1508.05885 [math.DS] (2015). MSC: 37E20 37F25 37P45 BibTeX Cite \textit{J. H Lowenstein} and \textit{F. Vivaldi}, ``Continuous self-similarity in parametric piecewise isometries'', Preprint, arXiv:1508.05885 [math.DS] (2015) Full Text: arXiv OA License
Canci, J. K. Good Reduction for Endomorphisms of the Projective Line in Terms of the Branch Locus. arXiv:1505.05168 Preprint, arXiv:1505.05168 [math.NT] (2015). MSC: 11S15 37P05 14G99 BibTeX Cite \textit{J. K. Canci}, ``Good Reduction for Endomorphisms of the Projective Line in Terms of the Branch Locus'', Preprint, arXiv:1505.05168 [math.NT] (2015) Full Text: arXiv OA License
Hidalgo, Ruben A.; Quispe, Saul Connectivity of the branch locus of moduli space of rational maps. arXiv:1502.03001 Preprint, arXiv:1502.03001 [math.DS] (2015). MSC: 37P45 37F10 37P05 BibTeX Cite \textit{R. A. Hidalgo} and \textit{S. Quispe}, ``Connectivity of the branch locus of moduli space of rational maps'', Preprint, arXiv:1502.03001 [math.DS] (2015) Full Text: arXiv OA License
Bors, Alexander Cycle lengths in finite groups and the size of the solvable radical. arXiv:1501.07172 Preprint, arXiv:1501.07172 [math.GR] (2015). MSC: 20B25 20D25 20D45 20D05 20E22 20G40 37P99 BibTeX Cite \textit{A. Bors}, ``Cycle lengths in finite groups and the size of the solvable radical'', Preprint, arXiv:1501.07172 [math.GR] (2015) Full Text: arXiv OA License
Glazunov, Nikolaj On Rigid, Hard and Soft Problems and Results in Arithmetic Geometry. arXiv:1501.03075 Preprint, arXiv:1501.03075 [math.HO] (2015). MSC: 11-02 11Gxx 37-02 BibTeX Cite \textit{N. Glazunov}, ``On Rigid, Hard and Soft Problems and Results in Arithmetic Geometry'', Preprint, arXiv:1501.03075 [math.HO] (2015) Full Text: arXiv OA License
Ugolini, Simone Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms, II. arXiv:1501.01269 Preprint, arXiv:1501.01269 [math.DS] (2015). MSC: 11R09 11T55 37P05 BibTeX Cite \textit{S. Ugolini}, ``Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms, II'', Preprint, arXiv:1501.01269 [math.DS] (2015) Full Text: arXiv OA License
Almira, J. M.; Abu-Helaiel, Kh. F. A \(p\)-adic Montel theorem and locally polynomial functions. (English) Zbl 1462.39019 Filomat 28, No. 1, 159-166 (2014). MSC: 39B22 26E30 30G06 37P05 47S10 PDFBibTeX XMLCite \textit{J. M. Almira} and \textit{Kh. F. Abu-Helaiel}, Filomat 28, No. 1, 159--166 (2014; Zbl 1462.39019) Full Text: DOI arXiv
Madankan, R.; Pouget, S.; Singla, P.; Bursik, M.; Dehn, J.; Jones, M.; Patra, A.; Pavolonis, M.; Pitman, E. B.; Singh, T.; Webley, P. Computation of probabilistic hazard maps and source parameter estimation for volcanic ash transport and dispersion. (English) Zbl 1349.86047 J. Comput. Phys. 271, 39-59 (2014). MSC: 86A15 86A32 37N10 37P05 62F15 62P12 PDFBibTeX XMLCite \textit{R. Madankan} et al., J. Comput. Phys. 271, 39--59 (2014; Zbl 1349.86047) Full Text: DOI
Oh, Hee Harmonic analysis, ergodic theory and counting for thin groups. (English) Zbl 1359.37081 Breuillard, Emmanuel (ed.) et al., Thin groups and superstrong approximation. Selected papers based on the presentations at the workshop held at MSRI, Berkeley, CA, USA, February 6–10, 2012. Cambridge: Cambridge University Press (ISBN 978-1-107-03685-7/hbk). Mathematical Sciences Research Institute Publications 61, 179-210 (2014). MSC: 37D40 11F06 22E40 37A25 37C40 PDFBibTeX XMLCite \textit{H. Oh}, Math. Sci. Res. Inst. Publ. 61, 179--210 (2014; Zbl 1359.37081) Full Text: arXiv
Kotsios, Stelios An algorithmic method for checking global asymptotic stability of nonlinear polynomial systems with parameters. (English) Zbl 1334.65197 Appl. Math. Comput. 240, 358-367 (2014). MSC: 65P10 37P05 PDFBibTeX XMLCite \textit{S. Kotsios}, Appl. Math. Comput. 240, 358--367 (2014; Zbl 1334.65197) Full Text: DOI
Petsche, Clayton; Stout, Brian Global minimal models for endomorphisms of projective space. (English) Zbl 1342.14027 J. Théor. Nombres Bordx. 26, No. 3, 813-823 (2014). Reviewer: Enrica Floris (Bonn) MSC: 14E05 37P99 PDFBibTeX XMLCite \textit{C. Petsche} and \textit{B. Stout}, J. Théor. Nombres Bordx. 26, No. 3, 813--823 (2014; Zbl 1342.14027) Full Text: DOI arXiv
Maubach, Stefan; Willems, Roel Keller maps of low degree over finite fields. (English) Zbl 1327.14254 Cheltsov, Ivan (ed.) et al., Automorphisms in birational and affine geometry. Papers based on the presentations at the conference, Levico Terme, Italy, October 29 – November 3, 2012. Cham: Springer (ISBN 978-3-319-05680-7/hbk; 978-3-319-05681-4/ebook). Springer Proceedings in Mathematics & Statistics 79, 477-493 (2014). MSC: 14R10 14Q15 37P05 14R15 PDFBibTeX XMLCite \textit{S. Maubach} and \textit{R. Willems}, Springer Proc. Math. Stat. 79, 477--493 (2014; Zbl 1327.14254) Full Text: DOI
Saito, Asaki; Ito, Shunji Exact simulation of one-dimensional chaotic dynamical systems using algebraic numbers. (English) Zbl 1451.37099 Ibarra, Oscar H. (ed.) et al., Unconventional computation and natural computation. 13th international conference, UCNC 2014, London, ON, Canada, July 14–18, 2014. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 8553, 305-315 (2014). MSC: 37M05 37C35 37E05 PDFBibTeX XMLCite \textit{A. Saito} and \textit{S. Ito}, Lect. Notes Comput. Sci. 8553, 305--315 (2014; Zbl 1451.37099) Full Text: DOI