See Also

• [Virtualconference] Renormalization in complex dynamics / Author of the conference Shishikura, Mitsuhiro.
• [Multi angle] Docile transcendental entire functions / Author of the conference Waterman, James.
• [Virtualconference] Characterizing rational maps positively using graphs / Author of the conference Thurston, Dylan.
• [Multi angle] Transcendental Thurston Theory for entire functions and compositions / Author of the conference Shemyakov, Sergey.
• [Multi angle] Iterated monodromy groups and transcendental dynamics / Author of the conference Reinke, Bernhard.
• [Multi angle] A dynamical homeomorphism between the Mandelbrot set $M$ and the parabolic Mandelbrot set $M_{1}$ / Author of the conference Petersen, Carsten Lunde.
• [Virtualconference] Entire functions with Cantor bouquet Julia sets / Author of the conference Pardo-Simon, Leticia.
• [Multi angle] Contracting self-similar groups and conformal dimension / Author of the conference Nekrashevych, Volodymyr.
• [Virtualconference] Interbreeding in conformal dynamics, and its applications near and far / Author of the conference Mukherjee, Sabyasachi.
• [Multi angle] Wandering lakes of Wada / Author of the conference Martí-Pete, David.
• [Multi angle] Story of the Feigenbaum point / Author of the conference Lyubich, Mikhail.
• [Multi angle] Transcendental Julia sets of minimal Hausdorff dimension / Author of the conference Lazebnik, Kirill.
• [Multi angle] Introduction to Thurston's theorems / Author of the conference Hubbard, John H..
• [Multi angle] Decomposition results in rational dynamics / Author of the conference Hlushchanka, Mikhail.
• [Multi angle] Meromorphic maps of finite type: parameter space / Author of the conference Fagella, Nuria.
• [Multi angle] Hyperbolicity of renormalization for bi-cubic circle maps with bounded combinatorics / Author of the conference Estevez Jacinto, Gabriela Alexandra.
• [Virtualconference] Near-degenerate regime in neutral renormalization / Author of the conference Dudko, Dzmitry.
• [Multi angle] Box renormalization as a 'black box' / Author of the conference Drach, Kostiantyn.
• [Virtualconference] Arithmetic geometric models for the renormalisation of irrationally indifferent attractors / Author of the conference Cheraghi, Davoud.
• [Virtualconference] Tips of tongues in the double standard family / Author of the conference Buff, Xavier.
• [Multi angle] Eremenko's conjecture, Devaney's hairs, and the growth of counterexamples / Author of the conference Brown, Andrew.
• [Virtualconference] The visual sphere of an expanding Thurston map / Author of the conference Bonk, Mario.
• [Multi angle] Transcendental dynamics and infinite-dimensional Thurston theory / Author of the conference Bogdanov, Konstantin.
• [Virtualconference] Transcendental functions with small singular sets / Author of the conference Bishop, Christopher.
• [Multi angle] Polynomial versus transcendental dynamics / Author of the conference Benini, Anna Miriam.
• [Multi angle] Quadratic polynomials / Author of the conference Bartholdi, Laurent.

BELK, James, LANIER, Justin, MARGALIT, Dan, et al. Recognizing topological polynomials by lifting trees. arXiv preprint arXiv:1906.07680, 2019. - https://arxiv.org/abs/1906.07680


BARTHOLDI, Laurent et DUDKO, Dzmitry. Algorithmic aspects of branched coverings. In : Annales de la Faculté des sciences de Toulouse: Mathématiques. 2017. p. 1219-1296. - https://doi.org/10.5802/afst.1566


BARTHOLDI, Laurent et NEKRASHEVYCH, Volodymyr. Thurston equivalence of topological polynomials. Acta mathematica, 2006, vol. 197, no 1, p. 1-51. - http://dx.doi.org/10.1007/s11511-006-0007-3


BELK, James, LANIER, Justin, MARGALIT, Dan, et al. Recognizing topological polynomials by lifting trees. arXiv preprint arXiv:1906.07680, 2019. - https://arxiv.org/abs/1906.07680


BIELEFELD, Ben, FISHER, Yuval, et HUBBARD, John. The classification of critically preperiodic polynomials as dynamical systems. Journal of the American Mathematical Society, 1992, vol. 5, no 4, p. 721-762. - https://doi.org/10.2307/2152709


BONNOT, Sylvain, BRAVERMAN, Mark, et YAMPOLSKY, Michael. Thurston equivalence to a rational map is decidable. arXiv preprint arXiv:1009.5713, 2010. - https://arxiv.org/abs/1009.5713


CANNON, James, FLOYD, William, PARRY, Walter, et al. Nearly Euclidean Thurston maps. Conformal Geometry and Dynamics of the American Mathematical Society, 2012, vol. 16, no 12, p. 209-255. - http://dx.doi.org/10.1090/S1088-4173-2012-00248-2


CHEN, Lei, KORDEK, Kevin, et MARGALIT, Dan. Homomorphisms between braid groups. arXiv preprint arXiv:1910.00712, 2019. - https://arxiv.org/abs/1910.00712


DOUADY, Adrien et HUBBARD, John H. Etude dynamique des polynômes complexes. Partie I, volume 84 of Publications Mathématiques d'Orsay. 1984. -


DOUADY, Adrien et HUBBARD, John H. Étude dynamique des polynômes complexes. Partie II. With the collaboration of P. Lavaurs, Tan Lei and P. Sentenac. Publications Mathématiques d'Orsay, 1985, vol. 85, no 4. -


DOUADY, Adrien et HUBBARD, John H. A proof of Thurston's topological characterization of rational functions. Acta Mathematica, 1993, vol. 171, no 2, p. 263-297. - http://dx.doi.org/10.1007/BF02392534


FLOYD, William, PARRY, Walter, et PILGRIM, Kevin M. Modular groups, Hurwitz classes and dynamic portraits of NET maps. Groups, Geometry, and Dynamics, 2018, vol. 13, no 1, p. 47-88. - https://doi.org/10.4171/ggd/479


FLOYD, William, PARRY, Walter, et PILGRIM, Kevin M. Rationality is decidable for nearly Euclidean Thurston maps. Geometriae Dedicata, 2021, p. 1-26. - https://doi.org/10.1007/s10711-020-00593-9


HLUSHCHANKA, Mikhail. Invariant graphs, tilings, and iterated monodromy groups. 2017. Thèse de doctorat. Jacobs University Bremen. - http://nbn-resolving.org/urn:nbn:de:gbv:579-opus-1007507


HUBBARD, John et MASUR, Howard. Quadratic differentials and foliations. Acta Mathematica, 1979, vol. 142, no 1, p. 221-274. - http://dx.doi.org/10.1007/BF02395062


KELSEY, Gregory et LODGE, Russell. Quadratic Thurston maps with few postcritical points. Geometriae Dedicata, 2019, vol. 201, no 1, p. 33-55. - https://doi.org/10.1007/s10711-018-0387-5


LEVY, Silvio Vieira Ferreira. Critically finite rational maps (Thurston). 1985. Thèse de doctorat. Princeton University. -


LODGE, Russell. Boundary values of the Thurston pullback map. Conformal Geometry and Dynamics of the American Mathematical Society, 2013, vol. 17, no 8, p. 77-118. - http://dx.doi.org/10.1090/S1088-4173-2013-00255-5


NEKRASHEVYCH, Vladimir. Personal communication, 2020. -


Volodymyr Nekrashevych. Combinatorics of polynomial iterations. In Complex dynamics, pages 169-214. A K Peters, Wellesley, MA, 2009. -


NEKRASHEVYCH, Volodymyr. Combinatorial models of expanding dynamical systems. Ergodic Theory and Dynamical Systems, 2014, vol. 34, no 3, p. 938-985. - https://doi.org/10.1017/etds.2012.163


PFRANG, David, ROTHGANG, Michael, et SCHLEICHER, Dierk. Homotopy Hubbard Trees for post-singularly finite exponential maps. arXiv preprint arXiv:1812.11831, 2018. - https://arxiv.org/abs/1812.11831


PILGRIM, Kevin M. et LEI, Tan. Combining rational maps and controlling obstructions. Ergodic Theory and Dynamical Systems, 1998, vol. 18, no 1, p. 221-245. - https://doi.org/10.1017/S0143385798100329


RAFI, Kasra, SELINGER, Nikita, et YAMPOLSKY, Michael. Centralizers in Mapping Class Groups and Decidability of Thurston Equivalence. Arnold Mathematical Journal, 2020, vol. 6, no 2, p. 271-290 - https://doi.org/10.1007/s40598-020-00150-y


SELINGER, Nikita et YAMPOLSKY, Michael. Constructive geometrization of Thurston maps, C. R. Math. Rep. Acad. Sci. Canada, 2015, vol. 37 n°3, p. 100-113. - https://mr.math.ca/article/constructive-geometrization-of-thurston-maps/


SHEPELEVTSEVA, Anastasia et TIMORIN, Vladlen. Invariant spanning trees for quadratic rational maps. Arnold Mathematical Journal, 2019, vol. 5, no 4, p. 435-481. - https://doi.org/10.1007/s40598-019-00123-w