Conformal Geometry and DynamicsAn Electronic Journal of the American Mathematical Society Short Title: Conform. Geom. Dyn. Publisher: American Mathematical Society (AMS), Providence, RI ISSN: 1088-4173/e Online: https://www.ams.org/journals/ecgd/all_issues.html Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (1997). This journal is available open access. Documents Indexed: 308 Publications (since 1997) References Indexed: 306 Publications with 6,194 References. all top 5 Latest Issues 27 (2023) 26 (2022) 25 (2021) 24 (2020) 23 (2019) 22 (2018) 21 (2017) 20 (2016) 19 (2015) 18 (2014) 17 (2013) 16 (2012) 15 (2011) 14 (2010) 13 (2009) 12 (2008) 11 (2007) 10 (2006) 9 (2005) 8 (2004) 7 (2003) 6 (2002) 5 (2001) 4, No. 7 (2000) 4, No. 6 (2000) 4, No. 5 (2000) 4, No. 4 (2000) 4, No. 3 (2000) 4, No. 2 (2000) 4, No. 1 (2000) 3, No. 10 (1999) 3, No. 9 (1999) 3, No. 8 (1999) 3, No. 7 (1999) 3, No. 6 (1999) 3, No. 5 (1999) 3, No. 4 (1999) 3, No. 3 (1999) 3, No. 2 (1999) 3, No. 1 (1999) 2, No. 7 (1998) 2, No. 6 (1998) 2, No. 5 (1998) 2, No. 3 (1998) 2, No. 2 (1998) 2, No. 1 (1998) 1, No. 7 (1997) 1, No. 6 (1997) 1, No. 5 (1997) 1, No. 4 (1997) 1, No. 3 (1997) 1, No. 2 (1997) 1, No. 1 (1997) all top 5 Authors 9 Floyd, William J. 9 Parry, Walter R. 8 Cannon, James W. 6 Makienko, Peter M. 6 Nakamura, Gou 5 Pilgrim, Kevin M. 4 Cabrera, Carlos 4 Hawkins, Jane M. 4 Jiang, Yunping 4 Komori, Yohei 4 Okuyama, Yûsuke 3 Biswas, Indranil 3 Bonifant, Araceli M. 3 Bowers, Philip L. 3 Buckley, Stephen M. 3 Bullett, Shaun R. 3 Herron, David A. 3 Keen, Linda 3 Koskela, Pekka 3 Martin, Gaven J. 3 Milnor, John Willard 3 Nakanishi, Toshihiro 3 Nieminen, Tomi 3 Peltonen, Kirsi 3 Poggi-Corradini, Pietro 3 Stephenson, Kenneth 3 Taniguchi, Masahiko 3 Tyson, Jeremy T. 2 Amano, Masanori 2 Anderson, James W. 2 Aramayona, Javier 2 Balogh, Zoltán M. 2 Benoist, Yves 2 Betsakos, Dimitrios 2 Blokh, Alexander M. 2 Broch, Ole Jacob 2 Chen, Tao 2 Cooper, Daryl 2 Crane, Edward 2 Devaney, Robert L. 2 Falk, Kurt 2 Fletcher, Alastair N. 2 Fujikawa, Ege 2 Gongopadhyay, Krishnendu 2 Goodman, Dan 2 Hulin, Dominique 2 Izeki, Hiroyasu 2 Kangaslampi, Riikka 2 Kapovich, Ilya 2 Kaschner, Scott R. 2 Kiwi, Jan 2 Koss, Lorelei 2 Kovalev, Leonid V. 2 Lascurain Orive, Antonio 2 Lei, Tan 2 Lukyanenko, Anton 2 Lyubich, Mikhail 2 Ma, William 2 Marshall, Timothy H. 2 Martio, Olli 2 Matsuzaki, Katsuhiko 2 Mayer, Volker 2 Minda, David 2 Miyachi, Hideki 2 Mukherjee, Sabyasachi 2 Nakane, Shizuo 2 Oversteegen, Lex G. 2 Parker, John R. 2 Parkkonen, Jouni 2 Peyerimhoff, Norbert 2 Radnell, David 2 Ransford, Thomas J. 2 Roeder, Roland K. W. 2 Rushton, Brian 2 Scardua, Bruno 2 Schippers, Eric D. 2 Shackleton, Kenneth J. 2 Short, Ian 2 Sienra, Guillermo J. F. 2 Singer, David A. 2 Takkinen, Juhani 2 Tossavainen, Timo 2 Väisälä, Jussi 2 Vuorinen, Matti Keijo Kustaa 2 Yamashita, Yasushi 1 Aebischer, Beat 1 Albin, Nathan 1 Alvarez-Parrilla, Alvaro 1 Anderson, Glen Douglas 1 Andrade Santos, Fabio Henrique 1 Araki, Yoshiaki 1 Arfeux, Matthieu 1 Aspenberg, Magnus 1 Astola, Laura 1 Athreya, Jayadev S. 1 Atindogbe, Cyriaque 1 Ballas, Samuel A. 1 Barrera, Waldemar 1 Bayraktar, Turgay 1 Beise, Hans-Peter ...and 268 more Authors all top 5 Fields 179 Functions of a complex variable (30-XX) 135 Dynamical systems and ergodic theory (37-XX) 53 Several complex variables and analytic spaces (32-XX) 50 Manifolds and cell complexes (57-XX) 37 Differential geometry (53-XX) 31 Group theory and generalizations (20-XX) 18 Convex and discrete geometry (52-XX) 17 Geometry (51-XX) 13 Measure and integration (28-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Number theory (11-XX) 9 Topological groups, Lie groups (22-XX) 8 Combinatorics (05-XX) 8 Potential theory (31-XX) 7 General topology (54-XX) 6 Algebraic geometry (14-XX) 5 Partial differential equations (35-XX) 4 Abstract harmonic analysis (43-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 243 Publications have been cited 1,350 times in 1,090 Documents Cited by ▼ Year ▼ Assouad dimension of self-affine carpets. Zbl 1278.37032 Mackay, John M. 43 2011 Finite subdivision rules. Zbl 1060.20037 Cannon, J. W.; Floyd, W. J.; Parry, W. R. 35 2001 Dynamics of the family \(\lambda \tan z\). Zbl 0884.30019 Keen, Linda; Kotus, Janina 30 1997 Metric and geometric quasiconformality in Ahlfors regular Loewner spaces. Zbl 0981.30015 Tyson, Jeremy T. 30 2001 Area, capacity and diameter versions of Schwarz’s lemma. Zbl 1233.30016 Burckel, Robert B.; Marshall, Donald E.; Minda, David; Poggi-Corradini, Pietro; Ransford, Thomas J. 27 2008 Uniformly quasiregular mappings of Lattès type. Zbl 0897.30008 Mayer, Volker 26 1997 On the dynamics of the McMullen family \(R(z)=z^m +\lambda/z^{\ell}\). Zbl 1185.37109 Steinmetz, Norbert 23 2006 Thirty-three yes or no questions about mappings, measures, and metrics. Zbl 0885.00006 Heinonen, Juha; Semmes, Stephen 22 1997 Relatively and inner uniform domains. Zbl 0902.30017 Väisälä, Jussi 21 1998 Nearly euclidean Thurston maps. Zbl 1329.37047 Cannon, J. W.; Floyd, W. J.; Parry, W. R.; Pilgrim, K. M. 20 2012 Cubic polynomial maps with periodic critical orbit. II: Escape regions. Zbl 1188.37047 Bonifant, Araceli; Kiwi, Jan; Milnor, John 19 2010 Parametrized dynamics of the Weierstrass elliptic function. Zbl 1076.30027 Hawkins, Jane; Koss, Lorelei 19 2004 A “regular” pentagonal tiling of the plane. Zbl 0883.05034 Bowers, Philip L.; Stephenson, Kenneth 18 1997 Quasi-metric and metric spaces. Zbl 1113.54014 Schroeder, Viktor 17 2006 \(z\)-classes of isometries of the hyperbolic space. Zbl 1206.51017 Gongopadhyay, Krishnendu; Kulkarni, Ravi S. 16 2009 Dynamics in the Eremenko-Lyubich class. Zbl 1407.37068 Sixsmith, David J. 16 2018 The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. Zbl 1162.37021 Devaney, Robert L. 15 2007 A uniqueness theorem for harmonic functions on the upper-half plane. Zbl 0970.31001 Ou, Biao 15 2000 Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007 Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 15 2016 Indecomposable continua in exponential dynamics. Zbl 1062.37035 Devaney, Robert L.; Jarque, Xavier 15 2002 Topics in special functions. II. Zbl 1133.30315 Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 14 2007 Constructing rational maps from subdivision rules. Zbl 1077.37037 Cannon, J. W.; Floyd, W. J.; Kenyon, R.; Parry, W. R. 14 2003 Expansion complexes for finite subdivision rules. I. Zbl 1092.52502 Cannon, J. W.; Floyd, W. J.; Parry, W. R. 14 2006 Almost Kenmotsu metric as a conformal Ricci soliton. Zbl 1420.53034 Dey, Dibakar; Majhi, Pradip 14 2019 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012 Bergweiler, Walter 13 2000 Convergence in discrete Cauchy problems and applications to circle patterns. Zbl 1128.30013 Matthes, D. 13 2005 On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Zbl 1316.46034 Dejarnette, Noel; Hajłasz, Piotr; Lukyanenko, Anton; Tyson, Jeremy T. 13 2014 Discreteness criteria and the hyperbolic geometry of palindromes. Zbl 1193.30055 Gilman, Jane; Keen, Linda 12 2009 Branch sets of uniformly quasiregular maps. Zbl 0889.30022 Martin, G. J. 12 1997 Rotation estimates and spirals. Zbl 0981.30014 Gutlyanskii, Vladimir; Martio, Olli 12 2001 Cusps in complex boundaries of one-dimensional Teichmüller space. Zbl 1054.30041 Miyachi, Hideki 12 2003 On the classification of critically fixed rational maps. Zbl 1384.37054 Cordwell, Kristin; Gilbertson, Selina; Nuechterlein, Nicholas; Pilgrim, Kevin M.; Pinella, Samantha 12 2015 A census of rational maps. Zbl 0989.37038 Brezin, Eva; Byrne, Rosemary; Levy, Joshua; Pilgrim, Kevin; Plummer, Kelly 11 2000 Sphericalization and flattening. Zbl 1108.30033 Balogh, Zoltán M.; Buckley, Stephen M. 11 2005 Hilbert spaces of martingales supporting certain substitution-dynamical systems. Zbl 1128.37005 Dutkay, Dorin Ervin; Jørgensen, Palle E. T. 11 2005 Modulus on graphs as a generalization of standard graph theoretic quantities. Zbl 1332.90322 Albin, Nathan; Brunner, Megan; Perez, Roberto; Poggi-Corradini, Pietro; Wiens, Natalie 11 2015 Global conformal Assouad dimension in the Heisenberg group. Zbl 1133.30323 Tyson, Jeremy T. 10 2008 Constructing subdivision rules from rational maps. Zbl 1138.37023 Cannon, J. W.; Floyd, W. J.; Parry, W. R. 9 2007 Metric conformal structures and hyperbolic dimension. Zbl 1165.20035 Mineyev, Igor 9 2007 Unbounded components in parameter space of rational maps. Zbl 0948.37032 Makienko, Peter M. 9 2000 Potential theory and a characterization of polynomials in complex dynamics. Zbl 1252.37036 Okuyama, Yûsuke; Stawiska, Małgorzata 9 2011 Dynamics of hyperbolic iwips. Zbl 1360.37089 Uyanik, Caglar 9 2014 Expansion complexes for finite subdivision rules. II. Zbl 1185.30045 Cannon, J. W.; Floyd, W. J.; Parry, W. R. 8 2006 A dichotomy for Fatou components of polynomial skew products. Zbl 1218.32009 Roeder, Roland K. W. 8 2011 Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface. Zbl 1196.30040 Radnell, David; Schippers, Eric 8 2010 Ergodicity of conformal measures for unimodal polynomials. Zbl 0893.58046 Prado, Eduardo A. 8 1998 Finiteness theorems for commuting and semiconjugate rational functions. Zbl 1451.30053 Pakovich, Fedor 8 2020 Boundary values of the Thurston pullback map. Zbl 1370.37093 Logde, Russell 8 2013 Normal families of holomorphic functions with multiple zeros. Zbl 1134.30024 Pang, Xuecheng; Fang, Mingliang; Zalcman, Lawrence 7 2007 Uniform spaces and weak slice spaces. Zbl 1143.30012 Buckley, Stephen M.; Herron, David A. 7 2007 Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric. Zbl 1195.30004 Herron, David A.; Ma, William; Minda, David 7 2008 Examples of uniformly quasiregular mappings. Zbl 0945.30019 Peltonen, Kirsi 7 1999 A combination theorem for covering correspondences and an application to mating polynomial maps with Kleinian groups. Zbl 1027.37025 Bullett, Shaun 7 2000 Landing property of stretching rays for real cubic polynomials. Zbl 1077.37034 Komori, Yohei; Nakane, Shizuo 7 2004 Bers embedding of the Teichmüller space of a once-punctured torus. Zbl 1051.30039 Komori, Yohei; Sugawa, Toshiyuki 7 2004 The location of critical points of finite Blaschke products. Zbl 1093.53019 Singer, David A. 7 2006 Dynamics of singular complex analytic vector fields with essential singularities. I. Zbl 1368.32020 Alvarez-Parrilla, Alvaro; Muciño-Raymundo, Jesús 7 2017 Compact non-orientable hyperbolic surfaces with an extremal metric disc. Zbl 1185.30047 Girondo, Ernesto; Nakamura, Gou 6 2007 A note to “Mappings of finite distortion: formation of cusps. II”. Zbl 1234.30017 Koskela, Pekka; Takkinen, Juhani 6 2010 Notes on complex hyperbolic triangle groups. Zbl 1220.22004 Kamiya, Shigeyasu; Parker, John R.; Thompson, James M. 6 2010 Lattès-type mappings on compact manifolds. Zbl 1214.53032 Astola, Laura; Kangaslampi, Riikka; Peltonen, Kirsi 6 2010 Ford and Dirichlet domains for cyclic subgroups of \(\text{PSL}_2({\mathbb C})\) acting on \({{\mathbb H}^3_{\mathbb R}}\) and \({\partial}{{\mathbb H}^3_{\mathbb R}}\). Zbl 0999.30028 Drumm, Todd A.; Poritz, Jonathan A. 6 1999 Properties of convergence groups and spaces. Zbl 0983.57029 Freden, Eric M. 6 1997 Iteration of quasiregular tangent functions in three dimensions. Zbl 1244.37029 Fletcher, A. N.; Nicks, D. A. 6 2012 On behavior of pairs of Teichmüller geodesic rays. Zbl 1300.32013 Amano, Masanori 6 2014 The asymptotic behavior of Jenkins-Strebel rays. Zbl 1300.32014 Amano, Masanori 6 2014 Entropy degeneration of convex projective surfaces. Zbl 1335.52004 Nie, Xin 6 2015 The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006 Martio, O. 6 2016 Conformal tilings. I: Foundations, theory, and practice. Zbl 1364.52013 Bowers, Philip L.; Stephenson, Kenneth 6 2017 The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group. Zbl 1323.30057 Falk, Kurt; Matsuzaki, Katsuhiko 6 2015 Pinching holomorphic correspondences. Zbl 1138.37022 Bullett, Shaun; Haïssinsky, Peter 5 2007 Mappings of finite distortion: formation of cusps. II. Zbl 1133.30317 Takkinen, Juhani 5 2007 Uniform continuity of quasiconformal mappings and conformal deformations. Zbl 1133.30320 Koskela, Pekka; Nieminen, Tomi 5 2008 The horofunction boundary of the Heisenberg group: the Carnot-Carathéodory metric. Zbl 1218.22005 Klein, Tom; Nicas, Andrew 5 2010 Compact non-orientable surfaces of genus 4 with extremal metric discs. Zbl 1196.30037 Nakamura, Gou 5 2009 Wild knots in higher dimensions as limit sets of Kleinian groups. Zbl 1197.57015 Boege, Margareta; Hinojosa, Gabriela; Verjovsky, Alberto 5 2009 Simultaneous linearization of holomorphic germs in presence of resonances. Zbl 1188.37049 Raissy, Jasmin 5 2009 Hereditary circularity for energy minimal diffeomorphisms. Zbl 1456.30043 Koh, Ngin-Tee 5 2017 Mapping schemes realizable by obstructed topological polynomials. Zbl 1278.37043 Kelsey, Gregory A. 5 2012 The Teichmüller distance on the space of flat conformal structures. Zbl 0892.58010 Izeki, Hiroyasu 5 1998 Deligne-mostow lattices with three fold symmetry and cone metrics on the sphere. Zbl 1354.32014 Pasquinelli, Irene 5 2016 Relative currents. Zbl 1400.20017 Gupta, Radhika 5 2017 Universal convexity for quasihyperbolic type metrics. Zbl 1338.53019 Herron, David A. 5 2016 Conical limit points and the Cannon-Thurston map. Zbl 1375.20045 Jeon, Woojin; Kapovich, Ilya; Leininger, Christopher; Ohshika, Ken’ichi 5 2016 Hyperbolic geometric versions of Schwarz’s lemma. Zbl 1321.30014 Betsakos, Dimitrios 5 2013 Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current. Zbl 1370.37095 Okuyama, Yûsuke 5 2014 Conformal Grushin spaces. Zbl 1432.30046 Romney, Matthew 5 2016 Pluripotential theory on Teichmüller space. I: Pluricomplex Green function. Zbl 1472.30018 Miyachi, Hideki 5 2019 A model of the Teichmüller space of genus-zero bordered surfaces by period maps. Zbl 1426.30031 Radnell, David; Schippers, Eric; Staubach, Wolfgang 5 2019 A Cantor set with hyperbolic complement. Zbl 1316.30045 Souto, Juan; Stover, Matthew 5 2013 Generic \(2\)-parameter perturbations of parabolic singular points of vector fields in \(\mathbb C\). Zbl 1403.37057 Klimeš, Martin; Rousseau, Christiane 5 2018 Ghys-like models for Lavaurs and simple entire maps. Zbl 1185.37117 Chéritat, Arnaud 4 2006 Conformal holonomy of bi-invariant metrics. Zbl 1138.53041 Leitner, Felipe 4 2008 Checking atomicity of conformal ending measures for Kleinian groups. Zbl 1218.30121 Falk, Kurt; Matsuzaki, Katsuhiko; Stratmann, Bernd O. 4 2010 Bounded outdegree and extremal length on discrete Riemann surfaces. Zbl 1214.30038 Wood, William E. 4 2010 Squaring rectangles for dumbbells. Zbl 1191.30005 Cannon, J. W.; Floyd, W. J.; Parry, W. R. 4 2008 Quasiconformally homogeneous planar domains. Zbl 1191.30008 Bonfert-Taylor, Petra; Taylor, Edward C. 4 2008 Pure mapping class group acting on Teichmüller space. Zbl 1195.30066 Fujikawa, Ege 4 2008 Jørgensen number and arithmeticity. Zbl 1196.30035 Callahan, Jason 4 2009 Constructing subdivision rules from alternating links. Zbl 1196.57012 Rushton, Brian 4 2010 Symmetrization of rational maps: arithmetic properties and families of Lattès maps of \(\mathbb{P}^k\). Zbl 1511.37114 Gauthier, Thomas; Hutz, Benjamin; Kaschner, Scott 4 2023 North-south type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents. Zbl 1523.20038 Guerch, Yassine 2 2023 Symmetric cubic laminations. Zbl 07725767 Blokh, Alexander; Oversteegen, Lex; Selinger, Nikita; Timorin, Vladlen; Vejandla, Sandeep Chowdary 2 2023 On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. Zbl 1517.37055 Lodge, Russell; Lyubich, Mikhail; Merenkov, Sergei; Mukherjee, Sabyasachi 1 2023 Single and double toral band Fatou components in meromorphic dynamics. Zbl 1517.37053 Hawkins, Jane; Koss, Lorelei 1 2023 Fixed points of Koch maps. Zbl 1495.32051 Le, van Tu 1 2022 Equivalence of Collet-Eckmann conditions for slowly recurrent rational maps. Zbl 1512.37046 Bylund, Mats 1 2022 Unicritical polynomial maps with rational multipliers. Zbl 1475.37108 Huguin, Valentin 3 2021 Periodic points and smooth rays. Zbl 1494.37027 Petersen, Carsten Lunde; Zakeri, Saeed 2 2021 Integral binary Hamiltonian forms and their waterworlds. Zbl 1475.11060 Parkkonen, Jouni; Paulin, Frédéric 1 2021 The W. Thurston algorithm applied to real polynomial maps. Zbl 1487.37055 Bonifant, Araceli; Milnor, John; Sutherland, Scott 1 2021 Transcendental Julia sets with fractional packing dimension. Zbl 1487.37062 Burkart, Jack 1 2021 Uniformization of Cantor sets with bounded geometry. Zbl 1481.30017 Vellis, Vyron 1 2021 Combinatorics of criniferous entire maps with escaping critical values. Zbl 1511.37056 Pardo-Simón, Leticia 1 2021 Finiteness theorems for commuting and semiconjugate rational functions. Zbl 1451.30053 Pakovich, Fedor 8 2020 Sublinear quasiconformality and the large-scale geometry of Heintze groups. Zbl 07227678 Pallier, Gabriel 4 2020 A locally hyperbolic 3-manifold that is not homotopy equivalent to any hyperbolic 3-manifold. Zbl 1464.57029 Cremaschi, Tommaso 2 2020 Faber and Grunsky operators corresponding to bordered Riemann surfaces. Zbl 1451.30085 Shirazi, Mohammad 2 2020 Expansion properties for finite subdivision rules. II. Zbl 1436.37058 Floyd, William; Parry, Walter; Pilgrim, Kevin M. 1 2020 Almost Kenmotsu metric as a conformal Ricci soliton. Zbl 1420.53034 Dey, Dibakar; Majhi, Pradip 14 2019 Pluripotential theory on Teichmüller space. I: Pluricomplex Green function. Zbl 1472.30018 Miyachi, Hideki 5 2019 A model of the Teichmüller space of genus-zero bordered surfaces by period maps. Zbl 1426.30031 Radnell, David; Schippers, Eric; Staubach, Wolfgang 5 2019 On the dynamics of Riccati foliations with nonparabolic monodromy representations. Zbl 1442.37068 Hussenot Desenonges, Nicolas 4 2019 Asymptotics of the translation flow on holomorphic maps out of the poly-plane. Zbl 1417.32002 Gekhtman, Dmitri 4 2019 Analytic capacity and holomorphic motions. Zbl 1426.30015 Pouliasis, Stamatis; Ransford, Thomas; Younsi, Malik 3 2019 Matings of cubic polynomials with fixed critical point. I: Thurston obstructions. Zbl 1433.37047 Sharland, Thomas 2 2019 Conformal tilings. II: Local isomorphism, hierarchy, and conformal type. Zbl 1429.52023 Bowers, Philip L.; Stephenson, Kenneth 2 2019 On NET maps: examples and nonexistence results. Zbl 1435.37069 Saenz, Edgar A. 1 2019 The quasiconformal equivalence of Riemann surfaces and the universal Schottky space. Zbl 1430.30022 Shiga, Hiroshige 1 2019 Cusp excursions for the earthquake flow on the once-punctured torus. Zbl 1448.37041 Fu, Ser-Wei 1 2019 Structural properties of quotient surfaces of a Hecke group. Zbl 1453.20068 Farooq, K. 1 2019 Attractor sets and Julia sets in low dimensions. Zbl 1445.30014 Fletcher, A. 1 2019 Dynamics in the Eremenko-Lyubich class. Zbl 1407.37068 Sixsmith, David J. 16 2018 Generic \(2\)-parameter perturbations of parabolic singular points of vector fields in \(\mathbb C\). Zbl 1403.37057 Klimeš, Martin; Rousseau, Christiane 5 2018 A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract. Zbl 1395.30032 Mayer, Volker 4 2018 Cycle doubling, merging, and renormalization in the tangent family. Zbl 1407.37070 Chen, Tao; Jiang, Yunping; Keen, Linda 4 2018 Conformal mapping, convexity and total absolute curvature. Zbl 1400.30025 Kourou, Maria 3 2018 Discontinuity of a degenerating escape rate. Zbl 1406.37039 Demarco, Laura; Okuyama, Yûsuke 3 2018 Rotational properties of homeomorphisms with integrable distortion. Zbl 1416.30010 Hitruhin, Lauri 3 2018 Geometric construction of quasiconformal mappings in the Heisenberg group. Zbl 1400.30057 Timsit, Robin 2 2018 Immersions and translation structures. I: The space of structures on the pointed disk. Zbl 1415.37042 Hooper, W. Patrick 1 2018 Monodromy, liftings of holomorphic maps, and extensions of holomorphic motions. Zbl 1420.32008 Jiang, Yunping; Mitra, Sudeb 1 2018 Dynamics of singular complex analytic vector fields with essential singularities. I. Zbl 1368.32020 Alvarez-Parrilla, Alvaro; Muciño-Raymundo, Jesús 7 2017 Conformal tilings. I: Foundations, theory, and practice. Zbl 1364.52013 Bowers, Philip L.; Stephenson, Kenneth 6 2017 Hereditary circularity for energy minimal diffeomorphisms. Zbl 1456.30043 Koh, Ngin-Tee 5 2017 Relative currents. Zbl 1400.20017 Gupta, Radhika 5 2017 Compactification and trees of spheres covers. Zbl 1370.37092 Arfeux, Matthieu 4 2017 Iterated function system quasiarcs. Zbl 1359.28008 Iseli, Annina; Wildrick, Kevin 2 2017 A compactification of the moduli space of self-maps of \(\mathbb{CP}^1\) via stable maps. Zbl 1380.37096 Schmitt, Johannes 1 2017 The Teichmüller space of a countable set of points on a Riemann surface. Zbl 1361.30076 Fujikawa, Ege; Taniguchi, Masahiko 1 2017 Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007 Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 15 2016 The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006 Martio, O. 6 2016 Deligne-mostow lattices with three fold symmetry and cone metrics on the sphere. Zbl 1354.32014 Pasquinelli, Irene 5 2016 Universal convexity for quasihyperbolic type metrics. Zbl 1338.53019 Herron, David A. 5 2016 Conical limit points and the Cannon-Thurston map. Zbl 1375.20045 Jeon, Woojin; Kapovich, Ilya; Leininger, Christopher; Ohshika, Ken’ichi 5 2016 Conformal Grushin spaces. Zbl 1432.30046 Romney, Matthew 5 2016 Böttcher coordinates at superattracting fixed points of holomorphic skew products. Zbl 1337.32028 Ueno, Kohei 3 2016 Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups. Zbl 1337.32025 Nakamura, Gou; Nakanishi, Toshihiro 1 2016 Mating, paper folding, and an endomorphism of \(\mathbb {PC}^2\). Zbl 1408.37082 Nekrashevych, Volodymyr 1 2016 Veech surfaces and their periodic points. Zbl 1341.30039 Shinomiya, Yoshihiko 1 2016 Compact non-orientable surfaces of genus 6 with extremal metric discs. Zbl 1345.30049 Nakamura, Gou 1 2016 On the classification of critically fixed rational maps. Zbl 1384.37054 Cordwell, Kristin; Gilbertson, Selina; Nuechterlein, Nicholas; Pilgrim, Kevin M.; Pinella, Samantha 12 2015 Modulus on graphs as a generalization of standard graph theoretic quantities. Zbl 1332.90322 Albin, Nathan; Brunner, Megan; Perez, Roberto; Poggi-Corradini, Pietro; Wiens, Natalie 11 2015 Entropy degeneration of convex projective surfaces. Zbl 1335.52004 Nie, Xin 6 2015 The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group. Zbl 1323.30057 Falk, Kurt; Matsuzaki, Katsuhiko 6 2015 Conformal geometric inequalities on the Klein bottle. Zbl 1328.53041 El Mir, Chady; Yassine, Zeina 4 2015 Topological conformal dimension. Zbl 1312.28006 Dimarco, Claudio A. 4 2015 Orbit portraits of unicritical antiholomorphic polynomials. Zbl 1384.37055 Mukherjee, Sabyasachi 4 2015 Mappings of finite distortion between metric measure spaces. Zbl 1317.30027 Guo, Chang-Yu 4 2015 Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group. Zbl 1332.30037 Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. 4 2015 Global contact and quasiconformal mappings of Carnot groups. Zbl 1326.30047 Cowling, Michael G.; Ottazzi, Alessandro 3 2015 Mating the basilica with a Siegel disk. Zbl 1333.37035 Yang, Jonguk 1 2015 Dynamical properties of families of holomorphic mappings. Zbl 1333.37053 Pal, Ratna; Verma, Kaushal 1 2015 On Poincaré extensions of rational maps. Zbl 1353.37092 Cabrera, Carlos; Makienko, Peter; Sienra, Guillermo 1 2015 On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Zbl 1316.46034 Dejarnette, Noel; Hajłasz, Piotr; Lukyanenko, Anton; Tyson, Jeremy T. 13 2014 Dynamics of hyperbolic iwips. Zbl 1360.37089 Uyanik, Caglar 9 2014 On behavior of pairs of Teichmüller geodesic rays. Zbl 1300.32013 Amano, Masanori 6 2014 The asymptotic behavior of Jenkins-Strebel rays. Zbl 1300.32014 Amano, Masanori 6 2014 Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current. Zbl 1370.37095 Okuyama, Yûsuke 5 2014 Conformal fractals for normal subgroups of free groups. Zbl 1342.37024 Jaerisch, Johannes 4 2014 Totally disconnected Julia set for different classes of meromorphic functions. Zbl 1333.37023 Domínguez, P.; Hernández, A.; Sienra, G. 3 2014 Classification of subdivision rules for geometric groups of low dimension. Zbl 1315.57024 Rushton, Brian 3 2014 Mappings of finite distortion from generalized manifolds. Zbl 1315.30011 Kirsilä, Ville 3 2014 Limit functions of discrete dynamical systems. Zbl 1336.37006 Beise, H.-P.; Meyrath, T.; Müller, J. 2 2014 Julia sets on \(\mathbb{R}\mathbb{P}^2\) and dianalytic dynamics. Zbl 1326.37037 Goodman, Sue; Hawkins, Jane 2 2014 Boundary values of the Thurston pullback map. Zbl 1370.37093 Logde, Russell 8 2013 Hyperbolic geometric versions of Schwarz’s lemma. Zbl 1321.30014 Betsakos, Dimitrios 5 2013 A Cantor set with hyperbolic complement. Zbl 1316.30045 Souto, Juan; Stover, Matthew 5 2013 Local convexity properties of balls in Apollonian and Seittenranta’s metrics. Zbl 1317.30028 Klén, Riku 4 2013 Compact Klein surfaces of genus 5 with a unique extremal disc. Zbl 1273.30034 Nakamura, Gou 3 2013 Parametrizations of some Teichmüller spaces by trace functions. 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Zbl 1250.30041 Komori, Yohei; Yamashita, Yasushi 4 2012 The Medusa algorithm for polynomial matings. Zbl 1291.37054 Boyd, Suzanne Hruska; Henriksen, Christian 4 2012 ...and 143 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,080 Authors 20 Fraser, Jonathan MacDonald 20 Pilgrim, Kevin M. 18 Vuorinen, Matti Keijo Kustaa 16 Fletcher, Alastair N. 16 Floyd, William J. 15 Gongopadhyay, Krishnendu 15 Parry, Walter R. 13 Li, Yaxiang 12 Schippers, Eric D. 12 Staubach, Wolfgang 11 Mukherjee, Sabyasachi 11 Okuyama, Yûsuke 11 Yang, Fei 10 Hawkins, Jane M. 10 Koss, Lorelei 10 Qiu, Weiyuan 9 Cannon, James W. 9 Jørgensen, Palle E. T. 9 Wang, Xiantao 8 Albin, Nathan 8 Betsakos, Dimitrios 8 Devaney, Robert L. 8 Martin, Gaven J. 8 Poggi-Corradini, Pietro 8 Ponnusamy, Saminathan 8 Zhou, Qingshan 7 Bergweiler, Walter 7 Blokh, Alexander M. 7 Buckley, Stephen M. 7 Chu, Yuming 7 Dey, Dibakar 7 Keen, Linda 7 Lodge, Russell 7 Miyachi, Hideki 7 Nicks, Daniel A. 7 Pakovich, Fedor 7 Pankka, Pekka 7 Radnell, David 7 Urbański, Mariusz 7 Wang, Miaokun 7 Yin, Yongcheng 6 Bücking, Ulrike 6 Cabrera, Carlos 6 Fässler, Katrin S. 6 Guo, Changyu 6 Hu, Guangming 6 Huang, Manzi 6 Klén, Riku 6 Lyubich, Mikhail 6 Makienko, Peter M. 6 Martio, Olli 6 Nakamura, Gou 6 Oversteegen, Lex G. 6 Peltonen, Kirsi 6 Rempe-Gillen, Lasse 6 Sixsmith, David Jonathan 6 Stephenson, Kenneth 6 Zdunik, Anna 5 Balogh, Zoltán M. 5 Barański, Krzysztof 5 Bartholdi, Laurent 5 Bonifant, Araceli M. 5 Bullett, Shaun R. 5 Cleanthous, Galatia 5 DeMarco, Laura Grace 5 Dutkay, Dorin Ervin 5 Eremenko, Alexandre Émmanuilovich 5 Gabrielov, Andrei 5 Gao, Yan 5 Gauthier, Thomas 5 Herron, David A. 5 Kiwi, Jan 5 Koch, Sarah Colleen 5 Koskela, Pekka 5 Lei, Tan 5 Majhi, Pradip 5 Malý, Jan 5 Mayer, Volker 5 Nakane, Shizuo 5 Qi, Yi 5 Romney, Matthew 5 Rushton, Brian 5 Schleicher, Dierk 5 Timorin, Vladlen Anatol’evich 5 Tyson, Jeremy T. 5 Vigny, Gabriel 5 Xie, Xiangdong 5 Zeng, Jinsong 4 Benini, Anna Miriam 4 Bowers, Philip L. 4 Chen, Tao 4 Dai, Daoqing 4 Dudko, Dzmitry 4 Fagella, Núria 4 Fujikawa, Ege 4 Gutlyanskiĭ, Vladimir Ya. 4 Haïssinsky, Peter 4 Heinonen, Juha 4 Hinojosa, Gabriela 4 Hitruhin, Lauri ...and 980 more Authors all top 5 Cited in 251 Journals 82 Conformal Geometry and Dynamics 46 Proceedings of the American Mathematical Society 34 Ergodic Theory and Dynamical Systems 31 Journal of Mathematical Analysis and Applications 29 Geometriae Dedicata 29 Transactions of the American Mathematical Society 28 Advances in Mathematics 24 Computational Methods and Function Theory 22 Journal d’Analyse Mathématique 21 The Journal of Geometric Analysis 16 Mathematische Zeitschrift 13 Geometric and Functional Analysis. 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Theory, Methods & Applications. Series A: Theory and Methods 3 Discrete & Computational Geometry 3 Aequationes Mathematicae 3 Indagationes Mathematicae. New Series 3 Potential Analysis 3 The Journal of Analysis 3 The Journal of Fourier Analysis and Applications 3 Journal of Inequalities and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Qualitative Theory of Dynamical Systems 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Complex Analysis and Operator Theory 3 Journal of Modern Dynamics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 ISRN Geometry 3 EMS Surveys in Mathematical Sciences 2 American Mathematical Monthly 2 Communications in Algebra 2 Physics Letters. A 2 Beiträge zur Algebra und Geometrie 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Archiv der Mathematik ...and 151 more Journals all top 5 Cited in 51 Fields 511 Functions of a complex variable (30-XX) 410 Dynamical systems and ergodic theory (37-XX) 125 Manifolds and cell complexes (57-XX) 119 Group theory and generalizations (20-XX) 117 Several complex variables and analytic spaces (32-XX) 115 Differential geometry (53-XX) 96 Measure and integration (28-XX) 57 Geometry (51-XX) 45 Convex and discrete geometry (52-XX) 44 Topological groups, Lie groups (22-XX) 44 Partial differential equations (35-XX) 39 Functional analysis (46-XX) 39 General topology (54-XX) 35 Potential theory (31-XX) 29 Number theory (11-XX) 27 Combinatorics (05-XX) 26 Real functions (26-XX) 26 Global analysis, analysis on manifolds (58-XX) 23 Special functions (33-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 Algebraic geometry (14-XX) 16 Operator theory (47-XX) 13 Ordinary differential equations (34-XX) 13 Probability theory and stochastic processes (60-XX) 11 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 8 Computer science (68-XX) 8 Quantum theory (81-XX) 8 Information and communication theory, circuits (94-XX) 7 Abstract harmonic analysis (43-XX) 7 Algebraic topology (55-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Nonassociative rings and algebras (17-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 General and overarching topics; collections (00-XX) 4 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Relativity and gravitational theory (83-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year