Xu Xu
Gender:Male
Education Level:研究生毕业
Paper Publications
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[1]. Xu Xu, Chao Zheng Rigidity of generalized Thurston's sphere packings on 3-dimensional manifolds with boundary. To appear in Commun. Contemp. Math..
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[2]. Xu Xu, Chao Zheng, On the classification of discrete conformal structures on surfaces. To appear in Math. Res. Lett.. 2024.
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[3]. Xu Xu; Parameterized discrete uniformization theorems and curvature flows for polyhedral surfaces, I. To appear in Comm. Anal. Geom.. 2024.
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[4]. Xu Xu Deformation of discrete conformal structures on surfaces. Calc. Var. Partial Differential Equations 63 (2024), no. 2, Paper no. 38.. 2024.
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[5]. Xu Xu,Chao Zheng, Rigidity and deformation of generalized sphere packings on 3-dimensional manifolds with boundary. Calc. Var. Partial Differential Equations 62 (2023), no. 8, Paper No. 232, 16 pp. 2023.
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[6]. Xu Xu Combinatorial curvature flows for generalized circle packings on surfaces with boundary. Int. Math. Res. Not. IMRN 2023, no. 20, 17704–17728. 2023.
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[7]. He, Xiaokai; Xu, Xu; Thurston's sphere packings on 3-dimensional manifolds, I. Calc. Var. Partial Differential Equations 62 (2023), no. 5, Paper No. 152, 23 pp. 2023.
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[8]. Xu Xu; A new class of discrete conformal structures on surfaces with boundary. Calc. Var. Partial Differential Equations 61 (2022), no. 4, Paper No. 141, 23 pp. 2022.
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[9]. Luo, Yanwen; Xu, Xu; Combinatorial Calabi flows on surfaces with boundary. Calc. Var. Partial Differential Equations 61 (2022), no. 3, Paper No. 81, 12 pp. 2022.
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[10]. Xu, Xu; Zheng, Chao; Parameterized discrete uniformization theorems and curvature flows for polyhedral surfaces, II. Trans. Amer. Math. Soc. 375 (2022), no. 4, 2763–2788. 2022.
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[11]. Xu, Xu; Zheng, Chao; Prescribing discrete Gaussian curvature on polyhedral surfaces. Calc. Var. Partial Differential Equations 61 (2022), no. 3, Paper No. 80, 17 pp. 2022.
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[12]. Xu Xu; Combinatorial Ricci flow on compact 3-manifolds with boundary. J. Funct. Anal. 283 (2022), no. 5, Paper No. 109556, 19 pp. 2022.
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[13]. Feng, Ke; Ge, Huabin; Hua, Bobo; Xu, Xu; Combinatorial Ricci flows with applications to the hyperbolization of cusped 3-manifolds. Int. Math. Res. Not. IMRN 2022, no. 20, 15549–15573. 2022.
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[14]. Xu, Xu; Zheng, Chao; Parameterized combinatorial curvatures and parameterized combinatorial curvature flows for discrete conformal structures on polyhedral surfaces. J. Funct. Anal. 282 (2022), no. 11, Paper No. 109442, 32 pp. 2022.
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[15]. Ge, Huabin; Xu, Xu; A combinatorial Yamabe problem on two and three dimensional manifolds. Calc. Var. Partial Differential Equations 60 (2021), no. 1, Paper No. 20, 45 pp. 2021.
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[16]. Xu Xu; A new proof of Bowers-Stephenson conjecture. Math. Res. Lett. 28 (2021), no. 4, 1283–1306. 2021.
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[17]. Xu, Xu; Zheng, Chao; A new proof for global rigidity of vertex scaling on polyhedral surfaces. Asian J. Math. 25 (2021), no. 6, 883–896. 2021.
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[18]. Xu Xu; Combinatorial Calabi flow on 3-manifolds with toroidal boundary. J. Funct. Anal. 280 (2021), no. 11, Paper No. 108990, 23 pp. 2021.
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[19]. Xu Xu; On the global rigidity of sphere packings on 3-dimensional manifolds. J. Differential Geom. 115 (2020), no. 1, 175–193. 2020.
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[20]. Zhu, Xiang; Xu, Xu; Combinatorial Calabi flow with surgery on surfaces. Calc. Var. Partial Differential Equations 58 (2019), no. 6, Paper No. 195, 20 pp. 2019.
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[21]. Ge, Huabin; Xu, Xu; On a combinatorial curvature for surfaces with inversive distance circle packing metrics. J. Funct. Anal. 275 (2018), no. 3, 523–558. 2018.
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[22]. Xu Xu; Rigidity of inversive distance circle packings revisited. Adv. Math. 332 (2018), 476–509. 2018.
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[23]. Ge, Huabin; Xu, Xu; Zhang, Shijin; Three-dimensional discrete curvature flows and discrete Einstein metrics. Pacific J. Math. 287 (2017), no. 1, 49–70. 2017.
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[24]. Ge, Huabin; Xu, Xu; A discrete Ricci flow on surfaces with hyperbolic background geometry. Int. Math. Res. Not. IMRN 2017, no. 11, 3510–3527. 2017.
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[25]. Ge, Huabin; Xu, Xu; 2-dimensional combinatorial Calabi flow in hyperbolic background geometry. Differential Geom. Appl. 47 (2016), 86–98. 2016.
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[26]. Ge, Huabin; Xu, Xu; α-curvatures and α-flows on low dimensional triangulated manifolds. Calc. Var. Partial Differential Equations 55 (2016), no. 1, Art. 12, 16 pp. 2016.
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[27]. Wang, Yaohua; Xu, Xu; Hyperbolic positive energy theorem with electromagnetic fields. Classical Quantum Gravity 32 (2015), no. 2, 025007, 20 pp. 2015.
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[28]. Wang, YaoHua; Xu, Xu; Positive energy theorem for (4+1)-dimensional asymptotically anti-de Sitter spacetimes. Sci. China Math. 57 (2014), no. 2, 389–396. 2014.
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[29]. Ge, Huabin; Xu, Xu; Discrete quasi-Einstein metrics and combinatorial curvature flows in 3-dimension. Adv. Math. 267 (2014), 470–497. 2014.
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[30]. Ge, Huabin; Xu, Xu; Lower eigenvalue estimates of a Dirac-type operator involving electromagnetic field. J. Geom. Phys. 70 (2013), 224–231. 2013.
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[31]. Chen, Yongfa; Xu, Xu; Some remarks on the Dirac-Witten operator on pseudo-Riemannian manifolds. J. Geom. Phys. 62 (2012), no. 10, 1999–2008. 2012.
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[32]. Xu, Xu; Ding, Lu; Positive mass theorems for high-dimensional spacetimes with black holes. Sci. China Math. 54 (2011), no. 7, 1389–1402. 2011.
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