Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Upper bounds for the moduli of polynomial-like maps. (English) Zbl 07801565 Nonlinearity 37, No. 3, Article ID 035003, 24 p. (2024). MSC: 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Nonlinearity 37, No. 3, Article ID 035003, 24 p. (2024; Zbl 07801565) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Immediate renormalization of cubic complex polynomials with empty rational lamination. (English) Zbl 07794632 Mosc. Math. J. 23, No. 4, 441-461 (2023). MSC: 37F25 37F10 37F46 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Mosc. Math. J. 23, No. 4, 441--461 (2023; Zbl 07794632) Full Text: arXiv Link
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Slices of the parameter space of cubic polynomials. (English) Zbl 1503.37061 Trans. Am. Math. Soc. 375, No. 8, 5313-5359 (2022). MSC: 37F20 37F10 37F50 37F46 PDFBibTeX XMLCite \textit{A. Blokh} et al., Trans. Am. Math. Soc. 375, No. 8, 5313--5359 (2022; Zbl 1503.37061) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Shepelevtseva, Anastasia; Timorin, Vladlen Modeling core parts of Zakeri slices. I. (English) Zbl 07551769 Mosc. Math. J. 22, No. 2, 265-294 (2022). MSC: 37F46 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Mosc. Math. J. 22, No. 2, 265--294 (2022; Zbl 07551769) Full Text: arXiv Link
Blokh, Alexander; Chéritat, Arnaud; Oversteegen, Lex; Timorin, Vladlen Location of Siegel capture polynomials in parameter spaces. (English) Zbl 1466.37034 Nonlinearity 34, No. 4, 2430-2453 (2021). MSC: 37F10 37F20 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Nonlinearity 34, No. 4, 2430--2453 (2021; Zbl 1466.37034) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Immediate renormalization of complex polynomials. arXiv:2102.10325 Preprint, arXiv:2102.10325 [math.DS] (2021). MSC: 37F20 37C25 37F10 37F50 BibTeX Cite \textit{A. Blokh} et al., ``Immediate renormalization of complex polynomials'', Preprint, arXiv:2102.10325 [math.DS] (2021) Full Text: arXiv OA License
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Dynamical generation of parameter laminations. (English) Zbl 1447.37053 Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 205-229 (2020). MSC: 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Contemp. Math. 744, 205--229 (2020; Zbl 1447.37053) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Laminational models for some spaces of polynomials of any degree. (English) Zbl 1508.37008 Memoirs of the American Mathematical Society 1288. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4176-0/pbk; 978-1-4704-6144-7/ebook). v, 105 p. (2020). MSC: 37-02 37F20 37F46 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Laminational models for some spaces of polynomials of any degree. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1508.37008) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen A model of the cubic connectedness locus. arXiv:2008.06025 Preprint, arXiv:2008.06025 [math.DS] (2020). MSC: 37F20 37F10 37F50 BibTeX Cite \textit{A. Blokh} et al., ``A model of the cubic connectedness locus'', Preprint, arXiv:2008.06025 [math.DS] (2020) Full Text: arXiv OA License
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Models for spaces of dendritic polynomials. (English) Zbl 1427.37037 Trans. Am. Math. Soc. 372, No. 7, 4829-4849 (2019). Reviewer: Mohammad Sajid (Buraidah) MSC: 37F44 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Trans. Am. Math. Soc. 372, No. 7, 4829--4849 (2019; Zbl 1427.37037) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Perfect subspaces of quadratic laminations. (English) Zbl 1407.37072 Sci. China, Math. 61, No. 12, 2121-2138 (2018). MSC: 37F45 37F20 37F10 37F50 37F25 PDFBibTeX XMLCite \textit{A. Blokh} et al., Sci. China, Math. 61, No. 12, 2121--2138 (2018; Zbl 1407.37072) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Complementary components to the cubic principal hyperbolic domain. (English) Zbl 1407.37071 Proc. Am. Math. Soc. 146, No. 11, 4649-4660 (2018). MSC: 37F45 37F10 37F20 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Proc. Am. Math. Soc. 146, No. 11, 4649--4660 (2018; Zbl 1407.37071) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Timorin, Vladlen Non-degenerate locally connected models for plane continua and Julia sets. (English) Zbl 1381.37052 Discrete Contin. Dyn. Syst. 37, No. 11, 5781-5795 (2017). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F20 37F50 54C10 54F15 PDFBibTeX XMLCite \textit{A. Blokh} et al., Discrete Contin. Dyn. Syst. 37, No. 11, 5781--5795 (2017; Zbl 1381.37052) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Combinatorial models for spaces of cubic polynomials. (Modèles combinatoires pour les espaces de polynômes cubiques.) (English. French summary) Zbl 1457.37060 C. R., Math., Acad. Sci. Paris 355, No. 5, 590-595 (2017). MSC: 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., C. R., Math., Acad. Sci. Paris 355, No. 5, 590--595 (2017; Zbl 1457.37060) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen The combinatorial Mandelbrot set as the quotient of the space of geolaminations. (English) Zbl 1351.37190 Kolyada, Sergiǐ (ed.) et al., Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2020-8/pbk; 978-1-4704-3498-4/ebook). Contemporary Mathematics 669, 37-62 (2016). MSC: 37F20 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Contemp. Math. 669, 37--62 (2016; Zbl 1351.37190) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Laminations from the Main Cubioid. (English) Zbl 1407.37069 Discrete Contin. Dyn. Syst. 36, No. 9, 4665-4702 (2016). MSC: 37F20 37C25 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Discrete Contin. Dyn. Syst. 36, No. 9, 4665--4702 (2016; Zbl 1407.37069) Full Text: DOI arXiv
Blokh, Alexander; Childers, Doug; Levin, Genadi; Oversteegen, Lex; Schleicher, Dierk An extended Fatou-Shishikura inequality and wandering branch continua for polynomials. (English) Zbl 1393.37058 Adv. Math. 288, 1121-1174 (2016). Reviewer: Rainer Brück (Dortmund) MSC: 37F10 37B45 37C25 37F20 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Adv. Math. 288, 1121--1174 (2016; Zbl 1393.37058) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen Dynamical cores of topological polynomials. (English) Zbl 1345.37051 Bonifant, Araceli (ed.) et al., Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15929-4/hbk; 978-1-400-85131-7/ebook). 27-48 (2014). MSC: 37F50 37F10 37B45 37E10 PDFBibTeX XMLCite \textit{A. Blokh} et al., in: Frontiers in complex dynamics. In celebration of John Milnor's 80th birthday. Based on a conference, Banff, Canada, February 2011. Princeton, NJ: Princeton University Press. 27--48 (2014; Zbl 1345.37051) Full Text: arXiv
Blokh, Alexander; Oversteegen, Lex; Ptacek, Ross; Timorin, Vladlen The main cubioid. (English) Zbl 1304.37030 Nonlinearity 27, No. 8, 1879-1897 (2014). Reviewer: Bernd O. Stratmann (Bremen) MSC: 37F45 37F10 37F20 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Nonlinearity 27, No. 8, 1879--1897 (2014; Zbl 1304.37030) Full Text: DOI arXiv
Blokh, Alexander M.; Fokkink, Robbert J.; Mayer, John C.; Oversteegen, Lex G.; Tymchatyn, E. D. Fixed point theorems for plane continua with applications. (English) Zbl 1341.37024 Mem. Am. Math. Soc. 1053, viii, 91 p. (2013). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 37F10 54H25 37C25 37B45 37F50 PDFBibTeX XMLCite \textit{A. M. Blokh} et al., Fixed point theorems for plane continua with applications. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1341.37024) Full Text: DOI arXiv
Blokh, Alexander Recurrent and periodic points in dendritic Julia sets. (English) Zbl 1326.37030 Proc. Am. Math. Soc. 141, No. 10, 3587-3599 (2013). Reviewer: Walter Bergweiler (Kiel) MSC: 37E25 37B45 37E05 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh}, Proc. Am. Math. Soc. 141, No. 10, 3587--3599 (2013; Zbl 1326.37030) Full Text: DOI arXiv
Blokh, Alexander; Curry, Clinton; Oversteegen, Lex Density of orbits in laminations and the space of critical portraits. (English) Zbl 1333.37038 Discrete Contin. Dyn. Syst. 32, No. 6, 2027-2039 (2012). MSC: 37F20 37B45 37F10 37F50 PDFBibTeX XMLCite \textit{A. Blokh} et al., Discrete Contin. Dyn. Syst. 32, No. 6, 2027--2039 (2012; Zbl 1333.37038) Full Text: DOI arXiv
Blokh, Alexander M.; Curry, Clinton P.; Oversteegen, Lex G. Locally connected models for Julia sets. (English) Zbl 1226.37028 Adv. Math. 226, No. 2, 1621-1661 (2011). Reviewer: Arnaud Chéritat (Toulouse) MSC: 37F50 37F10 37B45 PDFBibTeX XMLCite \textit{A. M. Blokh} et al., Adv. Math. 226, No. 2, 1621--1661 (2011; Zbl 1226.37028) Full Text: DOI arXiv
Blokh, A.; Buff, X.; Chéritat, A.; Oversteegen, L. The solar Julia sets of basic quadratic Cremer polynomials. (English) Zbl 1184.37041 Ergodic Theory Dyn. Syst. 30, No. 1, 51-65 (2010). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{A. Blokh} et al., Ergodic Theory Dyn. Syst. 30, No. 1, 51--65 (2010; Zbl 1184.37041) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex The Julia sets of basic unicremer polynomials of arbitrary degree. (English) Zbl 1196.37082 Conform. Geom. Dyn. 13, 139-159 (2009). Reviewer: Helena Mihaljevic-Brandt (Kiel) MSC: 37F10 37B45 37F50 54F15 37C25 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{L. Oversteegen}, Conform. Geom. Dyn. 13, 139--159 (2009; Zbl 1196.37082) Full Text: DOI arXiv
Blokh, Alexander; Oversteegen, Lex Wandering gaps for weakly hyperbolic polynomials. (English) Zbl 1185.37122 Schleicher, Dierk (ed.), Complex dynamics. Families and friends. Wellesley, MA: A K Peters (ISBN 978-1-56881-450-6/hbk). 139-168 (2009). Reviewer: Sang-Eon Han (Jeonju-City Jeonbuk) MSC: 37F50 37F10 37F15 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{L. Oversteegen}, in: Complex dynamics. Families and friends. Wellesley, MA: A K Peters. 139--168 (2009; Zbl 1185.37122)
Blokh, Alexander; Oversteegen, Lex Fixed points in non-invariant plane continua. arXiv:0805.1069 Preprint, arXiv:0805.1069 [math.GN] (2008). MSC: 37F10 37F50 37B45 37C25 54F15 54H25 BibTeX Cite \textit{A. Blokh} and \textit{L. Oversteegen}, ``Fixed points in non-invariant plane continua'', Preprint, arXiv:0805.1069 [math.GN] (2008) Full Text: arXiv OA License
Blokh, Alexander; Oversteegen, Lex The Julia sets of quadratic Cremer polynomials. (English) Zbl 1099.37034 Topology Appl. 153, No. 15, 3038-3050 (2006). MSC: 37F10 37B45 37C25 37F50 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{L. Oversteegen}, Topology Appl. 153, No. 15, 3038--3050 (2006; Zbl 1099.37034) Full Text: DOI
Blokh, Alexander; Cleveland, Chris; Misiurewicz, Michał Julia sets of expanding polymodials. (English) Zbl 1147.37334 Ergodic Theory Dyn. Syst. 25, No. 6, 1691-1718 (2005). MSC: 37F10 37E05 37F50 37F35 PDFBibTeX XMLCite \textit{A. Blokh} et al., Ergodic Theory Dyn. Syst. 25, No. 6, 1691--1718 (2005; Zbl 1147.37334) Full Text: DOI
Blokh, Alexander Necessary conditions for the existence of wandering triangles for cubic laminations. (English) Zbl 1076.37032 Discrete Contin. Dyn. Syst. 13, No. 1, 13-34 (2005). MSC: 37F10 37E25 57M50 37F50 PDFBibTeX XMLCite \textit{A. Blokh}, Discrete Contin. Dyn. Syst. 13, No. 1, 13--34 (2005; Zbl 1076.37032) Full Text: DOI
Blokh, A.; Levin, G. On dynamics of vertices of locally connected polynomial Julia sets. (English) Zbl 1080.37054 Proc. Am. Math. Soc. 130, No. 11, 3219-3230 (2002). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{G. Levin}, Proc. Am. Math. Soc. 130, No. 11, 3219--3230 (2002; Zbl 1080.37054) Full Text: DOI
Blokh, Alexander; Misiurewicz, Michał Attractors for graph critical rational maps. (English) Zbl 1009.37031 Trans. Am. Math. Soc. 354, No. 9, 3639-3661 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 37F10 37E25 37F50 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{M. Misiurewicz}, Trans. Am. Math. Soc. 354, No. 9, 3639--3661 (2002; Zbl 1009.37031) Full Text: DOI
Blokh, A.; Levin, G. An inequality for laminations, Julia sets and “growing trees”. (English) Zbl 1067.37058 Ergodic Theory Dyn. Syst. 22, No. 1, 63-97 (2002). MSC: 37F50 37F10 PDFBibTeX XMLCite \textit{A. Blokh} and \textit{G. Levin}, Ergodic Theory Dyn. Syst. 22, No. 1, 63--97 (2002; Zbl 1067.37058) Full Text: DOI