DeMarco, Laura; Mavraki, Niki Myrto Dynamics on \(\mathbb{P}^1\): preperiodic points and pairwise stability. (English) Zbl 07793888 Compos. Math. 160, No. 2, 356-387 (2024). MSC: 37P35 37P05 37P30 14H52 PDFBibTeX XMLCite \textit{L. DeMarco} and \textit{N. M. Mavraki}, Compos. Math. 160, No. 2, 356--387 (2024; Zbl 07793888) Full Text: DOI arXiv
Mj, Mahan; Mukherjee, Sabyasachi The Sullivan dictionary and Bowen-Series maps. (English) Zbl 07803739 EMS Surv. Math. Sci. 10, No. 1, 179-221 (2023). MSC: 37F32 37F10 30F60 30C62 30D05 30F40 30J10 37F31 57M50 PDFBibTeX XMLCite \textit{M. Mj} and \textit{S. Mukherjee}, EMS Surv. Math. Sci. 10, No. 1, 179--221 (2023; Zbl 07803739) Full Text: DOI arXiv
Huguin, Valentin Rational maps with rational multipliers. (Fractions rationnelles avec multiplicateurs rationnels.) (English. French summary) Zbl 1517.37094 J. Éc. Polytech., Math. 10, 591-599 (2023). MSC: 37P05 37P35 37F10 PDFBibTeX XMLCite \textit{V. Huguin}, J. Éc. Polytech., Math. 10, 591--599 (2023; Zbl 1517.37094) Full Text: DOI arXiv
Mograby, Gamal; Balu, Radhakrishnan; Okoudjou, Kasso A.; Teplyaev, Alexander Spectral decimation of a self-similar version of almost Mathieu-type operators. (English) Zbl 1508.34080 J. Math. Phys. 63, No. 5, Article ID 053501, 21 p. (2022). MSC: 34K08 34L05 26A33 47E07 47B39 39A70 34B40 PDFBibTeX XMLCite \textit{G. Mograby} et al., J. Math. Phys. 63, No. 5, Article ID 053501, 21 p. (2022; Zbl 1508.34080) Full Text: DOI arXiv
Buzzi, Jérôme; Crovisier, Sylvain; Sarig, Omri Measures of maximal entropy for surface diffeomorphisms. (English) Zbl 1498.37033 Ann. Math. (2) 195, No. 2, 421-508 (2022). Reviewer: Lennard Bakker (Provo) MSC: 37C40 37D25 37D35 37E30 37B10 37B40 PDFBibTeX XMLCite \textit{J. Buzzi} et al., Ann. Math. (2) 195, No. 2, 421--508 (2022; Zbl 1498.37033) Full Text: DOI arXiv
Filom, Khashayar Monotonicity of entropy for real quadratic rational maps. (English) Zbl 1484.37051 Nonlinearity 34, No. 9, 6587-6626 (2021). Reviewer: Xu Zhang (Weihai) MSC: 37F10 37B40 37E05 37M25 37F31 37F34 PDFBibTeX XMLCite \textit{K. Filom}, Nonlinearity 34, No. 9, 6587--6626 (2021; Zbl 1484.37051) Full Text: DOI arXiv
Boc Thaler, Luka; Kuzman, Uroš Reduced dynamical systems. (English) Zbl 1476.37065 Ergodic Theory Dyn. Syst. 41, No. 6, 1612-1626 (2021). Reviewer: Luka Boc Thaler (Ljubljana) MSC: 37F10 37F20 37A35 28D20 30D05 PDFBibTeX XMLCite \textit{L. Boc Thaler} and \textit{U. Kuzman}, Ergodic Theory Dyn. Syst. 41, No. 6, 1612--1626 (2021; Zbl 1476.37065) Full Text: DOI arXiv
Okuyama, Yûsuke; Stawiska, Małgorzata On a characterization of polynomials among rational functions in non-Archimedean dynamics. (English) Zbl 1485.37093 Arnold Math. J. 6, No. 3-4, 407-430 (2020). MSC: 37P50 11S82 31C15 PDFBibTeX XMLCite \textit{Y. Okuyama} and \textit{M. Stawiska}, Arnold Math. J. 6, No. 3--4, 407--430 (2020; Zbl 1485.37093) Full Text: DOI arXiv
Berger, Pierre Complexities of differentiable dynamical systems. (English) Zbl 1435.37043 J. Math. Phys. 61, No. 3, 032702, 12 p. (2020). MSC: 37C35 37A35 37C20 82B30 PDFBibTeX XMLCite \textit{P. Berger}, J. Math. Phys. 61, No. 3, 032702, 12 p. (2020; Zbl 1435.37043) Full Text: DOI arXiv
De Leo, Roberto Conjectures about simple dynamics for some real Newton maps on \(\mathbb{R}^2\). (English) Zbl 1434.34051 Fractals 27, No. 6, Article ID 1950099, 22 p. (2019). MSC: 34D45 37D45 37F50 PDFBibTeX XMLCite \textit{R. De Leo}, Fractals 27, No. 6, Article ID 1950099, 22 p. (2019; Zbl 1434.34051) Full Text: DOI
Astorg, Matthieu; Gauthier, Thomas; Mihalache, Nicolae; Vigny, Gabriel Collet, Eckmann and the bifurcation measure. (English) Zbl 1477.37053 Invent. Math. 217, No. 3, 749-797 (2019). MSC: 37F10 32G15 37F46 37F34 PDFBibTeX XMLCite \textit{M. Astorg} et al., Invent. Math. 217, No. 3, 749--797 (2019; Zbl 1477.37053) Full Text: DOI arXiv HAL
Ghioca, Dragos; Nguyen, Khoa D.; Ye, Hexi The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of \((\mathbb{P}^{1})^{n}\). (English) Zbl 1432.37122 Compos. Math. 154, No. 7, 1441-1472 (2018). MSC: 37P05 37P30 PDFBibTeX XMLCite \textit{D. Ghioca} et al., Compos. Math. 154, No. 7, 1441--1472 (2018; Zbl 1432.37122) Full Text: DOI arXiv
Li, Zhiqiang Equilibrium states for expanding Thurston maps. (English) Zbl 1391.37030 Commun. Math. Phys. 357, No. 2, 811-872 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37D35 37D20 37A25 PDFBibTeX XMLCite \textit{Z. Li}, Commun. Math. Phys. 357, No. 2, 811--872 (2018; Zbl 1391.37030) Full Text: DOI arXiv
Fornæss, John Erik; Peters, Han Complex dynamics with focus on the real part. (English) Zbl 1369.37056 Ergodic Theory Dyn. Syst. 37, No. 1, 176-192 (2017). MSC: 37F10 37A25 PDFBibTeX XMLCite \textit{J. E. Fornæss} and \textit{H. Peters}, Ergodic Theory Dyn. Syst. 37, No. 1, 176--192 (2017; Zbl 1369.37056) Full Text: DOI arXiv
Stankewitz, Rich; Sumi, Hiroki Backward iteration algorithms for Julia sets of Möbius semigroups. (English) Zbl 1352.37138 Discrete Contin. Dyn. Syst. 36, No. 11, 6475-6485 (2016). MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{R. Stankewitz} and \textit{H. Sumi}, Discrete Contin. Dyn. Syst. 36, No. 11, 6475--6485 (2016; Zbl 1352.37138) Full Text: DOI arXiv
Stankewitz, Rich; Sumi, Hiroki Random backward iteration algorithm for Julia sets of rational semigroups. (English) Zbl 1362.37093 Discrete Contin. Dyn. Syst. 35, No. 5, 2165-2175 (2015). Reviewer: Turgay Bayraktar (Istanbul) MSC: 37F10 30D05 PDFBibTeX XMLCite \textit{R. Stankewitz} and \textit{H. Sumi}, Discrete Contin. Dyn. Syst. 35, No. 5, 2165--2175 (2015; Zbl 1362.37093) Full Text: DOI arXiv
Ye, Hexi Rational functions with identical measure of maximal entropy. (English) Zbl 1351.37187 Adv. Math. 268, 373-395 (2015). MSC: 37F10 37A35 PDFBibTeX XMLCite \textit{H. Ye}, Adv. Math. 268, 373--395 (2015; Zbl 1351.37187) Full Text: DOI arXiv
Bruin, Henk; Kalle, Charlene Natural extensions for piecewise affine maps via Hofbauer towers. (English) Zbl 1306.37005 Monatsh. Math. 175, No. 1, 65-88 (2014). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A05 37B10 28A75 PDFBibTeX XMLCite \textit{H. Bruin} and \textit{C. Kalle}, Monatsh. Math. 175, No. 1, 65--88 (2014; Zbl 1306.37005) Full Text: DOI arXiv
De Marco, Laura; Faber, Xander Degenerations of complex dynamical systems. (English) Zbl 1308.37023 Forum Math. Sigma 2, Paper No. e6, 36 p. (2014). Reviewer: Paul Reschke (Ann Arbor) MSC: 37F10 37P50 37F45 PDFBibTeX XMLCite \textit{L. De Marco} and \textit{X. Faber}, Forum Math. Sigma 2, Paper No. e6, 36 p. (2014; Zbl 1308.37023) Full Text: DOI arXiv
Li, Huaibin; Rivera-Letelier, Juan Equilibrium states of weakly hyperbolic one-dimensional maps for Hölder potentials. (English) Zbl 1375.37097 Commun. Math. Phys. 328, No. 1, 397-419 (2014). MSC: 37D35 82B26 PDFBibTeX XMLCite \textit{H. Li} and \textit{J. Rivera-Letelier}, Commun. Math. Phys. 328, No. 1, 397--419 (2014; Zbl 1375.37097) Full Text: DOI arXiv Link
Inoquio-Renteria, Irene; Rivera-Letelier, Juan A characterization of hyperbolic potentials of rational maps. (English) Zbl 1268.37030 Bull. Braz. Math. Soc. (N.S.) 43, No. 1, 99-127 (2012). Reviewer: Jasmin Raissy (Toulouse) MSC: 37D35 37F10 37D25 37A25 37F15 PDFBibTeX XMLCite \textit{I. Inoquio-Renteria} and \textit{J. Rivera-Letelier}, Bull. Braz. Math. Soc. (N.S.) 43, No. 1, 99--127 (2012; Zbl 1268.37030) Full Text: DOI arXiv
Hagihara, Rika; Hawkins, Jane Dynamics and bifurcations of a family of rational maps with parabolic fixed points. (English) Zbl 1258.37059 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 11, 3323-3340 (2011). MSC: 37F10 37F15 37F50 37G10 PDFBibTeX XMLCite \textit{R. Hagihara} and \textit{J. Hawkins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 11, 3323--3340 (2011; Zbl 1258.37059) Full Text: DOI
Comman, Henri; Rivera-Letelier, Juan Large deviation principles for non-uniformly hyperbolic rational maps. (English) Zbl 1252.37033 Ergodic Theory Dyn. Syst. 31, No. 2, 321-349 (2011). MSC: 37F10 37F15 37D35 PDFBibTeX XMLCite \textit{H. Comman} and \textit{J. Rivera-Letelier}, Ergodic Theory Dyn. Syst. 31, No. 2, 321--349 (2011; Zbl 1252.37033) Full Text: DOI arXiv
de Thélin, Henry On the regular automorphisms of \(\mathbb{C}^k\). (Sur les automorphismes réguliers de \(\mathbb{C}^k\).) (French) Zbl 1183.37084 Publ. Mat., Barc. 54, No. 1, 243-262 (2010). MSC: 37Fxx 32H50 37A35 37Dxx PDFBibTeX XMLCite \textit{H. de Thélin}, Publ. Mat., Barc. 54, No. 1, 243--262 (2010; Zbl 1183.37084) Full Text: DOI arXiv Euclid
Pollicott, Mark; Sridharan, Shrihari Large deviation results for periodic points of a rational map. (English) Zbl 1130.37024 J. Dyn. Syst. Geom. Theor. 5, No. 1, 69-77 (2007). MSC: 37F10 28D20 60F10 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{S. Sridharan}, J. Dyn. Syst. Geom. Theor. 5, No. 1, 69--77 (2007; Zbl 1130.37024) Full Text: DOI
DeMarco, Laura Iteration at the boundary of the space of rational maps. (English) Zbl 1183.37086 Duke Math. J. 130, No. 1, 169-197 (2005). MSC: 37F45 37F10 PDFBibTeX XMLCite \textit{L. DeMarco}, Duke Math. J. 130, No. 1, 169--197 (2005; Zbl 1183.37086) Full Text: DOI arXiv
Hawkins, Jane Lebesgue ergodic rational maps in parameter space. (English) Zbl 1066.37030 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 6, 1423-1447 (2003). Reviewer: Nihal Yilmaz Özgür (Balikesýr) MSC: 37F10 37A25 PDFBibTeX XMLCite \textit{J. Hawkins}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 6, 1423--1447 (2003; Zbl 1066.37030) Full Text: DOI
Jonsson, Mattias Ergodic properties of fibered rational maps. (English) Zbl 1021.37019 Ark. Mat. 38, No. 2, 281-317 (2000). Reviewer: Rainer Brück (Dortmund) MSC: 37F10 37A25 PDFBibTeX XMLCite \textit{M. Jonsson}, Ark. Mat. 38, No. 2, 281--317 (2000; Zbl 1021.37019) Full Text: DOI
Pollicott, Mark; Sharp, Richard Large deviations and the distribution of pre-images of rational maps. (English) Zbl 0919.30020 Commun. Math. Phys. 181, No. 3, 733-739 (1996). Reviewer: H.Kriete (Göttingen) MSC: 30D05 37B99 PDFBibTeX XMLCite \textit{M. Pollicott} and \textit{R. Sharp}, Commun. Math. Phys. 181, No. 3, 733--739 (1996; Zbl 0919.30020) Full Text: DOI
Ishii, Yutaka Ising models, Julia sets, and similarity of the maximal entropy measures. (English) Zbl 1080.82534 J. Stat. Phys. 78, No. 3-4, 815-825 (1995). MSC: 82B26 37A60 82B20 82B28 PDFBibTeX XMLCite \textit{Y. Ishii}, J. Stat. Phys. 78, No. 3--4, 815--825 (1995; Zbl 1080.82534) Full Text: DOI
Bedford, Eric; Lyubich, Mikhail; Smillie, John Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. (English) Zbl 0792.58034 Invent. Math. 112, No. 1, 77-125 (1993). Reviewer: I.Mihai (Bucureşti) MSC: 37F10 32H50 58C35 58A25 PDFBibTeX XMLCite \textit{E. Bedford} et al., Invent. Math. 112, No. 1, 77--125 (1993; Zbl 0792.58034) Full Text: DOI arXiv EuDML
Zdunik, Anna Parabolic orbifolds and the dimension of the maximal measure for rational maps. (English) Zbl 0820.58038 Invent. Math. 99, No. 3, 627-649 (1990). MSC: 37F10 28D20 PDFBibTeX XMLCite \textit{A. Zdunik}, Invent. Math. 99, No. 3, 627--649 (1990; Zbl 0820.58038) Full Text: DOI EuDML
Przytycki, Feliks Riemann map and holomorphic dynamics. (English) Zbl 0616.58029 Invent. Math. 85, 439-455 (1986). Reviewer: M.Lyubich MSC: 37C70 58C35 PDFBibTeX XMLCite \textit{F. Przytycki}, Invent. Math. 85, 439--455 (1986; Zbl 0616.58029) Full Text: DOI EuDML
Mañé, Ricardo On the Bernoulli property for rational maps. (English) Zbl 0605.28011 Ergodic Theory Dyn. Syst. 5, 71-88 (1985). MSC: 28D05 37A99 PDFBibTeX XMLCite \textit{R. Mañé}, Ergodic Theory Dyn. Syst. 5, 71--88 (1985; Zbl 0605.28011) Full Text: DOI
Przytycki, Feliks Hausdorff dimension of harmonic measure on the boundary of an attractive basin for a holomorphic map. (English) Zbl 0569.58024 Invent. Math. 80, 161-179 (1985). MSC: 37A99 31A15 30C85 PDFBibTeX XMLCite \textit{F. Przytycki}, Invent. Math. 80, 161--179 (1985; Zbl 0569.58024) Full Text: DOI EuDML