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: 307 Publications (since 1997) References Indexed: 305 Publications with 6,180 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 266 more Authors all top 5 Fields 178 Functions of a complex variable (30-XX) 134 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) 10 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 Algebraic geometry (14-XX) 7 General topology (54-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 Field theory and polynomials (12-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 237 Publications have been cited 1,271 times in 1,025 Documents Cited by ▼ Year ▼ Assouad dimension of self-affine carpets. Zbl 1278.37032Mackay, John M. 41 2011 Finite subdivision rules. Zbl 1060.20037Cannon, J. W.; Floyd, W. J.; Parry, W. R. 35 2001 Dynamics of the family \(\lambda \tan z\). Zbl 0884.30019Keen, Linda; Kotus, Janina 30 1997 Area, capacity and diameter versions of Schwarz’s lemma. Zbl 1233.30016Burckel, Robert B.; Marshall, Donald E.; Minda, David; Poggi-Corradini, Pietro; Ransford, Thomas J. 26 2008 Uniformly quasiregular mappings of Lattès type. Zbl 0897.30008Mayer, Volker 26 1997 Metric and geometric quasiconformality in Ahlfors regular Loewner spaces. Zbl 0981.30015Tyson, Jeremy T. 25 2001 Thirty-three yes or no questions about mappings, measures, and metrics. Zbl 0885.00006Heinonen, Juha; Semmes, Stephen 22 1997 On the dynamics of the McMullen family \(R(z)=z^m +\lambda/z^{\ell}\). Zbl 1185.37109Steinmetz, Norbert 22 2006 Nearly euclidean Thurston maps. Zbl 1329.37047Cannon, J. W.; Floyd, W. J.; Parry, W. R.; Pilgrim, K. M. 20 2012 A “regular” pentagonal tiling of the plane. Zbl 0883.05034Bowers, Philip L.; Stephenson, Kenneth 18 1997 Relatively and inner uniform domains. Zbl 0902.30017Väisälä, Jussi 18 1998 Parametrized dynamics of the Weierstrass elliptic function. Zbl 1076.30027Hawkins, Jane; Koss, Lorelei 18 2004 Cubic polynomial maps with periodic critical orbit. II: Escape regions. Zbl 1188.37047Bonifant, Araceli; Kiwi, Jan; Milnor, John 17 2010 Quasi-metric and metric spaces. Zbl 1113.54014Schroeder, Viktor 16 2006 \(z\)-classes of isometries of the hyperbolic space. Zbl 1206.51017Gongopadhyay, Krishnendu; Kulkarni, Ravi S. 15 2009 A uniqueness theorem for harmonic functions on the upper-half plane. Zbl 0970.31001Ou, Biao 15 2000 Dynamics in the Eremenko-Lyubich class. Zbl 1407.37068Sixsmith, David J. 15 2018 Indecomposable continua in exponential dynamics. Zbl 1062.37035Devaney, Robert L.; Jarque, Xavier 14 2002 Constructing rational maps from subdivision rules. Zbl 1077.37037Cannon, J. W.; Floyd, W. J.; Kenyon, R.; Parry, W. R. 14 2003 The McMullen domain: Satellite Mandelbrot sets and Sierpinski holes. Zbl 1162.37021Devaney, Robert L. 14 2007 Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 14 2016 Expansion complexes for finite subdivision rules. I. Zbl 1092.52502Cannon, J. W.; Floyd, W. J.; Parry, W. R. 14 2006 Convergence in discrete Cauchy problems and applications to circle patterns. Zbl 1128.30013Matthes, D. 13 2005 On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Zbl 1316.46034Dejarnette, Noel; Hajłasz, Piotr; Lukyanenko, Anton; Tyson, Jeremy T. 13 2014 Topics in special functions. II. Zbl 1133.30315Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. 13 2007 The role of the Ahlfors five islands theorem in complex dynamics. Zbl 0954.30012Bergweiler, Walter 12 2000 Discreteness criteria and the hyperbolic geometry of palindromes. Zbl 1193.30055Gilman, Jane; Keen, Linda 12 2009 On the classification of critically fixed rational maps. Zbl 1384.37054Cordwell, Kristin; Gilbertson, Selina; Nuechterlein, Nicholas; Pilgrim, Kevin M.; Pinella, Samantha 12 2015 Branch sets of uniformly quasiregular maps. Zbl 0889.30022Martin, G. J. 12 1997 Cusps in complex boundaries of one-dimensional Teichmüller space. Zbl 1054.30041Miyachi, Hideki 12 2003 Hilbert spaces of martingales supporting certain substitution-dynamical systems. Zbl 1128.37005Dutkay, Dorin Ervin; Jørgensen, Palle E. T. 11 2005 A census of rational maps. Zbl 0989.37038Brezin, Eva; Byrne, Rosemary; Levy, Joshua; Pilgrim, Kevin; Plummer, Kelly 11 2000 Rotation estimates and spirals. Zbl 0981.30014Gutlyanskii, Vladimir; Martio, Olli 11 2001 Modulus on graphs as a generalization of standard graph theoretic quantities. Zbl 1332.90322Albin, Nathan; Brunner, Megan; Perez, Roberto; Poggi-Corradini, Pietro; Wiens, Natalie 10 2015 Sphericalization and flattening. Zbl 1108.30033Balogh, Zoltán M.; Buckley, Stephen M. 10 2005 Almost Kenmotsu metric as a conformal Ricci soliton. Zbl 1420.53034Dey, Dibakar; Majhi, Pradip 10 2019 Dynamics of hyperbolic iwips. Zbl 1360.37089Uyanik, Caglar 9 2014 Constructing subdivision rules from rational maps. Zbl 1138.37023Cannon, J. W.; Floyd, W. J.; Parry, W. R. 9 2007 Metric conformal structures and hyperbolic dimension. Zbl 1165.20035Mineyev, Igor 9 2007 Global conformal Assouad dimension in the Heisenberg group. Zbl 1133.30323Tyson, Jeremy T. 9 2008 Fiber structure and local coordinates for the Teichmüller space of a bordered Riemann surface. Zbl 1196.30040Radnell, David; Schippers, Eric 8 2010 Ergodicity of conformal measures for unimodal polynomials. Zbl 0893.58046Prado, Eduardo A. 8 1998 Expansion complexes for finite subdivision rules. II. Zbl 1185.30045Cannon, J. W.; Floyd, W. J.; Parry, W. R. 8 2006 Potential theory and a characterization of polynomials in complex dynamics. Zbl 1252.37036Okuyama, Yûsuke; Stawiska, Małgorzata 8 2011 A dichotomy for Fatou components of polynomial skew products. Zbl 1218.32009Roeder, Roland K. W. 8 2011 Boundary values of the Thurston pullback map. Zbl 1370.37093Logde, Russell 8 2013 Examples of uniformly quasiregular mappings. Zbl 0945.30019Peltonen, Kirsi 7 1999 Unbounded components in parameter space of rational maps. Zbl 0948.37032Makienko, Peter M. 7 2000 A combination theorem for covering correspondences and an application to mating polynomial maps with Kleinian groups. Zbl 1027.37025Bullett, Shaun 7 2000 Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric. Zbl 1195.30004Herron, David A.; Ma, William; Minda, David 7 2008 Landing property of stretching rays for real cubic polynomials. Zbl 1077.37034Komori, Yohei; Nakane, Shizuo 7 2004 Normal families of holomorphic functions with multiple zeros. Zbl 1134.30024Pang, Xuecheng; Fang, Mingliang; Zalcman, Lawrence 7 2007 The location of critical points of finite Blaschke products. Zbl 1093.53019Singer, David A. 7 2006 Conformal tilings. I: Foundations, theory, and practice. Zbl 1364.52013Bowers, Philip L.; Stephenson, Kenneth 6 2017 Dynamics of singular complex analytic vector fields with essential singularities. I. Zbl 1368.32020Alvarez-Parrilla, Alvaro; Muciño-Raymundo, Jesús 6 2017 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 0999.30028Drumm, Todd A.; Poritz, Jonathan A. 6 1999 Properties of convergence groups and spaces. Zbl 0983.57029Freden, Eric M. 6 1997 Compact non-orientable hyperbolic surfaces with an extremal metric disc. Zbl 1185.30047Girondo, Ernesto; Nakamura, Gou 6 2007 Bers embedding of the Teichmüller space of a once-punctured torus. Zbl 1051.30039Komori, Yohei; Sugawa, Toshiyuki 6 2004 Uniform spaces and weak slice spaces. Zbl 1143.30012Buckley, Stephen M.; Herron, David A. 6 2007 Notes on complex hyperbolic triangle groups. Zbl 1220.22004Kamiya, Shigeyasu; Parker, John R.; Thompson, James M. 6 2010 Lattès-type mappings on compact manifolds. Zbl 1214.53032Astola, Laura; Kangaslampi, Riikka; Peltonen, Kirsi 6 2010 The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group. Zbl 1323.30057Falk, Kurt; Matsuzaki, Katsuhiko 5 2015 On behavior of pairs of Teichmüller geodesic rays. Zbl 1300.32013Amano, Masanori 5 2014 The asymptotic behavior of Jenkins-Strebel rays. Zbl 1300.32014Amano, Masanori 5 2014 Universal convexity for quasihyperbolic type metrics. Zbl 1338.53019Herron, David A. 5 2016 Conical limit points and the Cannon-Thurston map. Zbl 1375.20045Jeon, Woojin; Kapovich, Ilya; Leininger, Christopher; Ohshika, Ken’ichi 5 2016 Compact non-orientable surfaces of genus 4 with extremal metric discs. Zbl 1196.30037Nakamura, Gou 5 2009 Wild knots in higher dimensions as limit sets of Kleinian groups. Zbl 1197.57015Boege, Margareta; Hinojosa, Gabriela; Verjovsky, Alberto 5 2009 Simultaneous linearization of holomorphic germs in presence of resonances. Zbl 1188.37049Raissy, Jasmin 5 2009 Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current. Zbl 1370.37095Okuyama, Yûsuke 5 2014 The Teichmüller distance on the space of flat conformal structures. Zbl 0892.58010Izeki, Hiroyasu 5 1998 Pinching holomorphic correspondences. Zbl 1138.37022Bullett, Shaun; Haïssinsky, Peter 5 2007 Mappings of finite distortion: formation of cusps. II. Zbl 1133.30317Takkinen, Juhani 5 2007 Uniform continuity of quasiconformal mappings and conformal deformations. Zbl 1133.30320Koskela, Pekka; Nieminen, Tomi 5 2008 Conformal Grushin spaces. Zbl 1432.30046Romney, Matthew 5 2016 Finiteness theorems for commuting and semiconjugate rational functions. Zbl 1451.30053Pakovich, Fedor 5 2020 Iteration of quasiregular tangent functions in three dimensions. Zbl 1244.37029Fletcher, A. N.; Nicks, D. A. 5 2012 Mapping schemes realizable by obstructed topological polynomials. Zbl 1278.37043Kelsey, Gregory A. 5 2012 A Cantor set with hyperbolic complement. Zbl 1316.30045Souto, Juan; Stover, Matthew 5 2013 Generic \(2\)-parameter perturbations of parabolic singular points of vector fields in \(\mathbb C\). Zbl 1403.37057Klimeš, Martin; Rousseau, Christiane 5 2018 Hereditary circularity for energy minimal diffeomorphisms. Zbl 1456.30043Koh, Ngin-Tee 5 2017 Slowly divergent geodesics in moduli space. Zbl 1067.37036Cheung, Yitwah 4 2004 Trace coordinates of Teichmüller space of Riemann surfaces of signature \((0,4)\). Zbl 1065.32007Gauglhofer, Thomas; Semmler, Klaus-Dieter 4 2005 Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group. Zbl 1332.30037Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. 4 2015 Conformal fractals for normal subgroups of free groups. Zbl 1342.37024Jaerisch, Johannes 4 2014 Entropy degeneration of convex projective surfaces. Zbl 1335.52004Nie, Xin 4 2015 The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006Martio, O. 4 2016 Geometry of the Feigenbaum map. Zbl 0956.37032Buff, Xavier 4 1999 Squaring rectangles for dumbbells. Zbl 1191.30005Cannon, J. W.; Floyd, W. J.; Parry, W. R. 4 2008 Quasiconformally homogeneous planar domains. Zbl 1191.30008Bonfert-Taylor, Petra; Taylor, Edward C. 4 2008 Pure mapping class group acting on Teichmüller space. Zbl 1195.30066Fujikawa, Ege 4 2008 Jørgensen number and arithmeticity. Zbl 1196.30035Callahan, Jason 4 2009 Constructing subdivision rules from alternating links. Zbl 1196.57012Rushton, Brian 4 2010 A tableau approach of the KSS nest. Zbl 1189.37052Peng, Wenjuan; Qiu, Weiyuan; Roesch, Pascale; Tan, Lei; Yin, Yongcheng 4 2010 Topological conformal dimension. Zbl 1312.28006Dimarco, Claudio A. 4 2015 Orbit portraits of unicritical antiholomorphic polynomials. Zbl 1384.37055Mukherjee, Sabyasachi 4 2015 Mappings of finite distortion between metric measure spaces. Zbl 1317.30027Guo, Chang-Yu 4 2015 Diffeomorphisms of the circle and hyperbolic curvature. Zbl 1039.53020Singer, David A. 4 2001 Continuity of Hausdorff dimension of Julia-Lavaurs sets as a function of the phase. Zbl 0977.37025Urbanski, Mariusz; Zinsmeister, Michel 4 2001 Symmetrization of rational maps: arithmetic properties and families of Lattès maps of \(\mathbb{P}^k\). Zbl 1511.37114Gauthier, Thomas; Hutz, Benjamin; Kaschner, Scott 2 2023 Symmetric cubic laminations. Zbl 07725767Blokh, Alexander; Oversteegen, Lex; Selinger, Nikita; Timorin, Vladlen; Vejandla, Sandeep Chowdary 2 2023 Single and double toral band Fatou components in meromorphic dynamics. Zbl 1517.37053Hawkins, Jane; Koss, Lorelei 1 2023 Unicritical polynomial maps with rational multipliers. Zbl 1475.37108Huguin, Valentin 3 2021 Periodic points and smooth rays. Zbl 1494.37027Petersen, Carsten Lunde; Zakeri, Saeed 2 2021 Integral binary Hamiltonian forms and their waterworlds. Zbl 1475.11060Parkkonen, Jouni; Paulin, Frédéric 1 2021 The W. Thurston algorithm applied to real polynomial maps. Zbl 1487.37055Bonifant, Araceli; Milnor, John; Sutherland, Scott 1 2021 Transcendental Julia sets with fractional packing dimension. Zbl 1487.37062Burkart, Jack 1 2021 Combinatorics of criniferous entire maps with escaping critical values. Zbl 1511.37056Pardo-Simón, Leticia 1 2021 Uniformization of Cantor sets with bounded geometry. Zbl 1481.30017Vellis, Vyron 1 2021 Finiteness theorems for commuting and semiconjugate rational functions. Zbl 1451.30053Pakovich, Fedor 5 2020 Sublinear quasiconformality and the large-scale geometry of heintze groups. Zbl 07227678Pallier, Gabriel 4 2020 A locally hyperbolic 3-manifold that is not homotopy equivalent to any hyperbolic 3-manifold. Zbl 1464.57029Cremaschi, Tommaso 2 2020 Expansion properties for finite subdivision rules. II. Zbl 1436.37058Floyd, William; Parry, Walter; Pilgrim, Kevin M. 1 2020 Almost Kenmotsu metric as a conformal Ricci soliton. Zbl 1420.53034Dey, Dibakar; Majhi, Pradip 10 2019 On the dynamics of Riccati foliations with nonparabolic monodromy representations. Zbl 1442.37068Hussenot Desenonges, Nicolas 4 2019 Pluripotential theory on Teichmüller space. I: Pluricomplex Green function. Zbl 1472.30018Miyachi, Hideki 4 2019 Asymptotics of the translation flow on holomorphic maps out of the poly-plane. Zbl 1417.32002Gekhtman, Dmitri 4 2019 A model of the Teichmüller space of genus-zero bordered surfaces by period maps. Zbl 1426.30031Radnell, David; Schippers, Eric; Staubach, Wolfgang 4 2019 Analytic capacity and holomorphic motions. Zbl 1426.30015Pouliasis, Stamatis; Ransford, Thomas; Younsi, Malik 3 2019 Conformal tilings. II: Local isomorphism, hierarchy, and conformal type. Zbl 1429.52023Bowers, Philip L.; Stephenson, Kenneth 2 2019 Matings of cubic polynomials with fixed critical point. I: Thurston obstructions. Zbl 1433.37047Sharland, Thomas 2 2019 On NET maps: examples and nonexistence results. Zbl 1435.37069Saenz, Edgar A. 1 2019 Attractor sets and Julia sets in low dimensions. Zbl 1445.30014Fletcher, A. 1 2019 The quasiconformal equivalence of Riemann surfaces and the universal Schottky space. Zbl 1430.30022Shiga, Hiroshige 1 2019 Cusp excursions for the earthquake flow on the once-punctured torus. Zbl 1448.37041Fu, Ser-Wei 1 2019 Structural properties of quotient surfaces of a Hecke group. Zbl 1453.20068Farooq, K. 1 2019 Dynamics in the Eremenko-Lyubich class. Zbl 1407.37068Sixsmith, David J. 15 2018 Generic \(2\)-parameter perturbations of parabolic singular points of vector fields in \(\mathbb C\). Zbl 1403.37057Klimeš, Martin; Rousseau, Christiane 5 2018 A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract. Zbl 1395.30032Mayer, Volker 4 2018 Rotational properties of homeomorphisms with integrable distortion. Zbl 1416.30010Hitruhin, Lauri 3 2018 Cycle doubling, merging, and renormalization in the tangent family. Zbl 1407.37070Chen, Tao; Jiang, Yunping; Keen, Linda 3 2018 Conformal mapping, convexity and total absolute curvature. Zbl 1400.30025Kourou, Maria 2 2018 Discontinuity of a degenerating escape rate. Zbl 1406.37039Demarco, Laura; Okuyama, Yûsuke 2 2018 Geometric construction of quasiconformal mappings in the Heisenberg group. Zbl 1400.30057Timsit, Robin 2 2018 Immersions and translation structures. I: The space of structures on the pointed disk. Zbl 1415.37042Hooper, W. Patrick 1 2018 Monodromy, liftings of holomorphic maps, and extensions of holomorphic motions. Zbl 1420.32008Jiang, Yunping; Mitra, Sudeb 1 2018 Conformal tilings. I: Foundations, theory, and practice. Zbl 1364.52013Bowers, Philip L.; Stephenson, Kenneth 6 2017 Dynamics of singular complex analytic vector fields with essential singularities. I. Zbl 1368.32020Alvarez-Parrilla, Alvaro; Muciño-Raymundo, Jesús 6 2017 Hereditary circularity for energy minimal diffeomorphisms. Zbl 1456.30043Koh, Ngin-Tee 5 2017 Relative currents. Zbl 1400.20017Gupta, Radhika 4 2017 Compactification and trees of spheres covers. Zbl 1370.37092Arfeux, Matthieu 3 2017 Iterated function system quasiarcs. Zbl 1359.28008Iseli, Annina; Wildrick, Kevin 2 2017 The Teichmüller space of a countable set of points on a Riemann surface. Zbl 1361.30076Fujikawa, Ege; Taniguchi, Masahiko 1 2017 A compactification of the moduli space of self-maps of \(\mathbb{CP}^1\) via stable maps. Zbl 1380.37096Schmitt, Johannes 1 2017 Metrics with four conic singularities and spherical quadrilaterals. Zbl 1343.30007Eremenko, Alexandre; Gabrielov, Andrei; Tarasov, Vitaly 14 2016 Universal convexity for quasihyperbolic type metrics. Zbl 1338.53019Herron, David A. 5 2016 Conical limit points and the Cannon-Thurston map. Zbl 1375.20045Jeon, Woojin; Kapovich, Ilya; Leininger, Christopher; Ohshika, Ken’ichi 5 2016 Conformal Grushin spaces. Zbl 1432.30046Romney, Matthew 5 2016 The space of functions of bounded variation on curves in metric measure spaces. Zbl 1338.26006Martio, O. 4 2016 Deligne-mostow lattices with three fold symmetry and cone metrics on the sphere. Zbl 1354.32014Pasquinelli, Irene 4 2016 Böttcher coordinates at superattracting fixed points of holomorphic skew products. Zbl 1337.32028Ueno, Kohei 3 2016 Mating, paper folding, and an endomorphism of \(\mathbb {PC}^2\). Zbl 1408.37082Nekrashevych, Volodymyr 1 2016 Parametrizations of Teichmüller spaces by trace functions and action of mapping class groups. Zbl 1337.32025Nakamura, Gou; Nakanishi, Toshihiro 1 2016 Compact non-orientable surfaces of genus 6 with extremal metric discs. Zbl 1345.30049Nakamura, Gou 1 2016 On the classification of critically fixed rational maps. Zbl 1384.37054Cordwell, Kristin; Gilbertson, Selina; Nuechterlein, Nicholas; Pilgrim, Kevin M.; Pinella, Samantha 12 2015 Modulus on graphs as a generalization of standard graph theoretic quantities. Zbl 1332.90322Albin, Nathan; Brunner, Megan; Perez, Roberto; Poggi-Corradini, Pietro; Wiens, Natalie 10 2015 The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group. Zbl 1323.30057Falk, Kurt; Matsuzaki, Katsuhiko 5 2015 Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group. Zbl 1332.30037Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. 4 2015 Entropy degeneration of convex projective surfaces. Zbl 1335.52004Nie, Xin 4 2015 Topological conformal dimension. Zbl 1312.28006Dimarco, Claudio A. 4 2015 Orbit portraits of unicritical antiholomorphic polynomials. Zbl 1384.37055Mukherjee, Sabyasachi 4 2015 Mappings of finite distortion between metric measure spaces. Zbl 1317.30027Guo, Chang-Yu 4 2015 Conformal geometric inequalities on the Klein bottle. Zbl 1328.53041El Mir, Chady; Yassine, Zeina 4 2015 Global contact and quasiconformal mappings of Carnot groups. Zbl 1326.30047Cowling, Michael G.; Ottazzi, Alessandro 3 2015 Mating the basilica with a Siegel disk. Zbl 1333.37035Yang, Jonguk 1 2015 Dynamical properties of families of holomorphic mappings. Zbl 1333.37053Pal, Ratna; Verma, Kaushal 1 2015 On Poincaré extensions of rational maps. Zbl 1353.37092Cabrera, Carlos; Makienko, Peter; Sienra, Guillermo 1 2015 On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Zbl 1316.46034Dejarnette, Noel; Hajłasz, Piotr; Lukyanenko, Anton; Tyson, Jeremy T. 13 2014 Dynamics of hyperbolic iwips. Zbl 1360.37089Uyanik, Caglar 9 2014 On behavior of pairs of Teichmüller geodesic rays. Zbl 1300.32013Amano, Masanori 5 2014 The asymptotic behavior of Jenkins-Strebel rays. Zbl 1300.32014Amano, Masanori 5 2014 Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current. Zbl 1370.37095Okuyama, Yûsuke 5 2014 Conformal fractals for normal subgroups of free groups. Zbl 1342.37024Jaerisch, Johannes 4 2014 Classification of subdivision rules for geometric groups of low dimension. Zbl 1315.57024Rushton, Brian 3 2014 Mappings of finite distortion from generalized manifolds. Zbl 1315.30011Kirsilä, Ville 3 2014 Totally disconnected Julia set for different classes of meromorphic functions. Zbl 1333.37023Domínguez, P.; Hernández, A.; Sienra, G. 2 2014 Limit functions of discrete dynamical systems. Zbl 1336.37006Beise, H.-P.; Meyrath, T.; Müller, J. 2 2014 Julia sets on \(\mathbb{R}\mathbb{P}^2\) and dianalytic dynamics. Zbl 1326.37037Goodman, Sue; Hawkins, Jane 2 2014 Boundary values of the Thurston pullback map. Zbl 1370.37093Logde, Russell 8 2013 A Cantor set with hyperbolic complement. Zbl 1316.30045Souto, Juan; Stover, Matthew 5 2013 Hyperbolic geometric versions of Schwarz’s lemma. Zbl 1321.30014Betsakos, Dimitrios 3 2013 Local convexity properties of balls in Apollonian and Seittenranta’s metrics. Zbl 1317.30028Klén, Riku 3 2013 Compact Klein surfaces of genus 5 with a unique extremal disc. Zbl 1273.30034Nakamura, Gou 3 2013 Parametrizations of some Teichmüller spaces by trace functions. Zbl 1275.32014Nakamura, Gou; Nakanishi, Toshihiro 3 2013 Cross ratio coordinates for the deformation spaces of a marked Möbius group. Zbl 1317.30067Yamamoto, Kimiyo N.; Taniguchi, Masahiko 2 2013 Classification of quaternionic hyperbolic isometries. Zbl 1272.30070Gongopadhyay, Krishnendu; Parsad, Shiv 2 2013 Canonical Thurston obstructions for sub-hyperbolic semi-rational branched coverings. Zbl 1408.37085Chen, Tao; Jiang, Yunping 1 2013 Proof of a folklore Julia set connectedness theorem and connections with elliptic functions. Zbl 1279.37033Hawkins, Jane M. 1 2013 Nearly euclidean Thurston maps. Zbl 1329.37047Cannon, J. W.; Floyd, W. J.; Parry, W. R.; Pilgrim, K. 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Zbl 1266.37015Pit, Vincent 1 2012 The space-like surfaces with vanishing conformal form in the conformal space. Zbl 1271.53023Nie, Changxiong 1 2012 ...and 137 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,019 Authors 19 Pilgrim, Kevin M. 18 Fraser, Jonathan MacDonald 17 Vuorinen, Matti Keijo Kustaa 16 Floyd, William J. 15 Fletcher, Alastair N. 15 Parry, Walter R. 14 Gongopadhyay, Krishnendu 13 Li, Yaxiang 11 Yang, Fei 10 Koss, Lorelei 10 Okuyama, Yûsuke 10 Schippers, Eric D. 10 Staubach, Wolfgang 9 Cannon, James W. 9 Hawkins, Jane M. 9 Jørgensen, Palle E. T. 9 Mukherjee, Sabyasachi 8 Devaney, Robert L. 8 Martin, Gaven J. 8 Qiu, Weiyuan 8 Wang, Xiantao 7 Albin, Nathan 7 Bergweiler, Walter 7 Betsakos, Dimitrios 7 Blokh, Alexander M. 7 Buckley, Stephen M. 7 Dey, Dibakar 7 Keen, Linda 7 Pankka, Pekka 7 Poggi-Corradini, Pietro 7 Radnell, David 7 Urbański, Mariusz 7 Yin, Yongcheng 6 Bücking, Ulrike 6 Cabrera, Carlos 6 Chu, Yuming 6 Fässler, Katrin S. 6 Guo, Changyu 6 Huang, Manzi 6 Klén, Riku 6 Lodge, Russell 6 Lyubich, Mikhail 6 Nakamura, Gou 6 Nicks, Daniel A. 6 Oversteegen, Lex G. 6 Peltonen, Kirsi 6 Ponnusamy, Saminathan 6 Rempe-Gillen, Lasse 6 Sixsmith, David Jonathan 6 Wang, Miaokun 6 Zdunik, Anna 6 Zhou, Qingshan 5 Balogh, Zoltán M. 5 Barański, Krzysztof 5 Bartholdi, Laurent 5 Bonifant, Araceli M. 5 Bullett, Shaun R. 5 Cleanthous, Galatia 5 Dutkay, Dorin Ervin 5 Eremenko, Alexandre Émmanuilovich 5 Gabrielov, Andrei 5 Gao, Yan 5 Herron, David A. 5 Hu, Guangming 5 Kiwi, Jan 5 Koch, Sarah Colleen 5 Koskela, Pekka 5 Lei, Tan 5 Majhi, Pradip 5 Makienko, Peter M. 5 Mayer, Volker 5 Miyachi, Hideki 5 Nakane, Shizuo 5 Pakovich, Fedor 5 Romney, Matthew 5 Rushton, Brian 5 Schleicher, Dierk 5 Stephenson, Kenneth 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 DeMarco, Laura Grace 4 Dudko, Dzmitry 4 Fujikawa, Ege 4 Gauthier, Thomas 4 Haïssinsky, Peter 4 Heinonen, Juha 4 Hinojosa, Gabriela 4 Hitruhin, Lauri 4 Inou, Hiroyuki 4 Jiang, Yunping 4 Käenmäki, Antti 4 Kalaj, David 4 Kapovich, Ilya ...and 919 more Authors all top 5 Cited in 236 Journals 81 Conformal Geometry and Dynamics 45 Proceedings of the American Mathematical Society 33 Ergodic Theory and Dynamical Systems 29 Journal of Mathematical Analysis and Applications 29 Transactions of the American Mathematical Society 27 Advances in Mathematics 27 Geometriae Dedicata 24 Computational Methods and Function Theory 22 Journal d’Analyse Mathématique 21 The Journal of Geometric Analysis 14 Mathematische Zeitschrift 13 Annales Academiae Scientiarum Fennicae. Mathematica 12 Geometric and Functional Analysis. GAFA 12 Arnold Mathematical Journal 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Inventiones Mathematicae 11 Journal of the London Mathematical Society. Second Series 11 Topology and its Applications 11 Journal of Difference Equations and Applications 11 Discrete and Continuous Dynamical Systems 10 Israel Journal of Mathematics 10 Duke Mathematical Journal 10 Illinois Journal of Mathematics 10 Revista Matemática Iberoamericana 10 Geometry & Topology 9 Acta Mathematica Sinica. English Series 8 Mathematische Annalen 8 Algebraic & Geometric Topology 8 Annales Fennici Mathematici 7 Indiana University Mathematics Journal 7 Journal of Functional Analysis 7 Complex Variables and Elliptic Equations 7 Groups, Geometry, and Dynamics 7 Science China. Mathematics 6 Monatshefte für Mathematik 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Mathematical Sciences (New York) 6 Fractals 6 Communications in Contemporary Mathematics 6 Journal of Topology and Analysis 6 Analysis and Geometry in Metric Spaces 6 Journal of Fractal Geometry 5 Nonlinearity 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Osaka Journal of Mathematics 5 International Journal of Mathematics 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Experimental Mathematics 5 Analysis and Mathematical Physics 4 Bulletin of the Australian Mathematical Society 4 Communications in Mathematical Physics 4 Journal of Geometry and Physics 4 American Journal of Mathematics 4 Bulletin of the London Mathematical Society 4 Pacific Journal of Mathematics 4 International Journal of Algebra and Computation 4 Linear Algebra and its Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Calculus of Variations and Partial Differential Equations 4 Revista Matemática Complutense 4 Annals of Mathematics. Second Series 4 Journal of the Australian Mathematical Society 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Complex Analysis and its Synergies 3 Indian Journal of Pure & Applied Mathematics 3 Acta Mathematica 3 Annales de l’Institut Fourier 3 Commentarii Mathematici Helvetici 3 Fundamenta Mathematicae 3 Journal of Differential Equations 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the London Mathematical Society. Third Series 3 Results in Mathematics 3 Discrete & Computational Geometry 3 Aequationes Mathematicae 3 Indagationes Mathematicae. New Series 3 The Journal of Analysis 3 Journal of Inequalities and Applications 3 Qualitative Theory of Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Complex Analysis and Operator Theory 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 ISRN Geometry 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 2 Compositio Mathematica 2 Publications Mathématiques 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Algebra 2 Journal of Geometry ...and 136 more Journals all top 5 Cited in 50 Fields 485 Functions of a complex variable (30-XX) 384 Dynamical systems and ergodic theory (37-XX) 121 Manifolds and cell complexes (57-XX) 115 Group theory and generalizations (20-XX) 109 Several complex variables and analytic spaces (32-XX) 109 Differential geometry (53-XX) 92 Measure and integration (28-XX) 51 Geometry (51-XX) 45 Convex and discrete geometry (52-XX) 40 Partial differential equations (35-XX) 38 Topological groups, Lie groups (22-XX) 38 General topology (54-XX) 34 Potential theory (31-XX) 34 Functional analysis (46-XX) 27 Combinatorics (05-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Number theory (11-XX) 21 Real functions (26-XX) 21 Special functions (33-XX) 18 Algebraic geometry (14-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Probability theory and stochastic processes (60-XX) 13 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 11 Numerical analysis (65-XX) 9 Difference and functional equations (39-XX) 7 Algebraic topology (55-XX) 7 Quantum theory (81-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) 6 Computer science (68-XX) 5 Abstract harmonic analysis (43-XX) 5 Information and communication theory, circuits (94-XX) 4 Field theory and polynomials (12-XX) 4 Approximations and expansions (41-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Relativity and gravitational theory (83-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Citations by Year