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Publications:

[28] (with M. Shishikura) The high type quadratic Siegel disks are Jordan domains, J. Eur. Math. Soc. (2024), 62 pages, available online.

[27] Parabolic and near-parabolic renormalizations for local degree three, Conform. Geom. Dyn. (2024), 50 pages, to appear, attachments, arXiv: 1510.00043v5.

[26] (with Y. Xiao) Disconnected Julia sets as buried Julia components, Math. Z. 308 (2024), no. 4, Paper No. 68, 23 pp.

[25] Rational maps with smooth degenerate Herman rings, Adv. Math. 452 (2024), Paper No. 109827, 40 pp. 

[24] A brief introduction to one-dimensional complex dynamics (in Chinese: 一维复动力系统简介),  Sci. Sin. Math. 54 (2024), no. 6, 871-946. 

[23] (with H. H. Rugh and L. Tan) Schwarzian versus a family of moving parabolic points, Experiment. Math.  33 (2024), no. 1, 136-149.   

[22] On the formulas of meromorphic functions with periodic Herman rings, Math. Ann. 384 (2022), no. 3-4, 989-1015.

[21] (with Y. Fu and G. Zhang) Quadratic rational maps with a 2-cycle of Siegel disks, J. Geom. Anal. 32 (2022), no. 10, Paper No. 244, 26 pp.

[20] (with H. Lu and W. Qiu), Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds, Nonlinearity 35 (2022), no. 1, 787-816.

[19] (with W. Qiu), Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets, Trans. Amer. Math. Soc. 374 (2021), no. 7, 5191-5223.

[18] Cantor Julia sets with Hausdorff dimension two, Int. Math. Res. Not. 2021 (2021), no. 7,  4994-5006.

[17] (with Y. Wang), Julia sets as buried Julia components, Trans. Amer. Math. Soc. 373 (2020), no. 10, 7287-7326.

[16] (with Y. Fu) Area and Hausdorff dimension of Sierpiński carpet Julia sets, Math. Z. 294 (2020), no. 3-4, 1441-1456.

[15] (with Y. Wang, S. Zhang and L. Liao) Escape Quartered theorem and the connectivity of the Julia sets of a family of rational maps, Discrete Contin. Dynam. Sys. 39 (2019), no. 9, 5185-5206.

[14] (with W. Qiu and J. Zeng) Quasisymmetric geometry of Sierpiński carpet Julia sets, Fund. Math. 244 (2019), no. 1, 73-107.

[13] (with W. Qiu and Y. Yin) Quasisymmetric geometry of the Julia sets of McMullen maps, Sci. China Math. 61, (2018), no. 12, 2283-2298.

[12] (with S. Zhang) Area of the complement of the fast escaping sets of a family of entire functions, Kodai Math. J. 41, (2018), no. 3, 531-553.

[11] A criterion to generate carpet Julia sets, Proc. Amer. Math. Soc. 146 (2018), no. 5, 2129-2141.

[10] (with Y. Xiao) Singular perturbations with multiple poles of the simple polynomials, Qual. Theory Dyn. Syst. 16 (2017), no. 3, 731-747.

[9] (with Y. Xiao) Singular perturbations of the unicritical polynomials with two parameters, Ergod. Th. Dynam. Sys. 37 (2017), no. 6, 1997-2016.

[8] Rational maps without Herman rings, Proc. Amer. Math. Soc. 145 (2017), no. 4, 1649-1659.

[7] (with W. Qiu and Y. Yin) Quasisymmetric geometry of the Cantor circles as the Julia sets of rational maps, Discrete Contin. Dynam. Sys. 36 (2016), no. 6, 3375-3416.

[6] (with W. Qiu and Y. Yin) Rational maps whose Julia sets are Cantor circles, Ergod. Th. Dynam. Sys. 35 (2015), no. 2, 499-529.

[5] (with J. Fu) On the dynamics of a family of singularly perturbed rational maps, J. Math. Anal. Appl. 424 (2015), no. 1, 104-121.

[4] (with X. Wang) Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps, Proc. Indian Acad. Sci. (Math. Sci.) 124 (2014), no. 4, 551-562.

[3] (with J. Zeng) On the dynamics of a family of generated renormalization transformations, J. Math. Anal. Appl. 413 (2014), no. 1, 361-377.

[2] On the dynamics of a family of entire functions, Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 11, 2047-2072.

[1] (with Y. Yin) A new proof of the realization of cubic tableaux, Bull. Aust. Math. Soc. 87 (2013), no. 2, 207-215.

Preprints:

◎ (with X. Wang) Capture components of cubic Siegel polynomials, arXiv: 2312.10929, (2023), 15 pages. 

◎ (with G. Cui and L. Yang) Renormalizations of rational maps and stable multicurves, arXiv: 2309.03464, (2023), 22 pages.  

◎ (with Y. Fu)  Mating Siegel and parabolic quadratic polynomials, arXiv: 2305.15180, (2023), 40 pages. 

◎ (with S. Wang, G. Zhang and Y. Zhang) Local connectivity of Julia sets for rational maps with Siegel disks, arXiv: 2106.07450v5, (2023), 46 pages.

◎ (with D. Cheraghi and A. DeZotti) Dimension paradox of irrationally indifferent attractors, arXiv: 2003.12340, (2020), 42 pages.

◎ (with A. Chéritat) Self-similarity of the boundary of high type Siegel disks in the quadratic family, preprint, (2016), 45 pages.

Collaborators:

Davoud Cheraghi, Arnaud Chéritat, Guizhen Cui (崔贵珍), Alexandre DeZotti, Jianxun Fu (付建勋), Yuming Fu (付宇铭), Liangwen Liao (廖良文), Hongbin Lu (陆竑斌), Weiyuan Qiu (邱维元),  Hans Henrik Rugh, Mitsuhiro Shishikura (宍倉 光広), Lei Tan (谭蕾), Shuyi Wang (王淑一), Xiaoguang Wang (王晓光), Youming Wang (王有明), Yingqing Xiao (肖映青), Luxian Yang (杨璐鲜), Yongcheng Yin (尹永成), Jinsong Zeng (曾劲松), Gaofei Zhang (张高飞), Song Zhang (张松), Yanhua Zhang (张艳华)