Edit Profile (opens in new tab) Xiong, Ge Co-Author Distance Author ID: xiong.ge Published as: Xiong, Ge; Ge, Xiong Homepage: http://math.tongji.edu.cn/Data/View/3880 External Links: MGP · ResearchGate Documents Indexed: 55 Publications since 2002, including 1 Additional arXiv Preprint Reviewing Activity: 1 Review Co-Authors: 27 Co-Authors with 53 Joint Publications 398 Co-Co-Authors all top 5 Co-Authors 1 single-authored 11 Zou, Du 7 Li, Deyi 6 Cheung, Wingsum 6 Sun, Qiang 5 Hu, Jiaqi 5 Xiong, Jiawei 4 Ni, Jianhua 3 Liu, Yude 3 Lu, Xinbao 2 Du, Zou 2 Leng, Gangsong 2 Ruan, Zhengqian 1 Bo, Yunfei 1 Cheung, Wingsum 1 Jiang, Huifeng 1 Li, Yuhong 1 Ma, Yanwei 1 Si, Lin 1 Song, Xiaogang 1 Tao, Jiangyan 1 Wei, Zhengli 1 Xiao, Qiming 1 Xu, Jianrong 1 Xu, Lu 1 Xu, Zhihua 1 Zheng, Luzhou 1 Zhong, Lüzhou all top 5 Serials 6 Journal of Mathematics. Wuhan University 6 Journal of Shanghai University 4 Advances in Applied Mathematics 3 Advances in Mathematics 2 Journal of Mathematical Analysis and Applications 2 Proceedings of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 The Journal of Geometric Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Shanghai University. Natural Science 2 Science China. Mathematics 2 Annales Mathématiques du Québec 1 Israel Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Research & Exposition 1 Acta Mathematica Hungarica 1 Discrete & Computational Geometry 1 Communications in Analysis and Geometry 1 Acta Mathematica Sinica. English Series 1 Advances in Geometry 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Acta Mathematica Sinica. Chinese Series 1 Asian-European Journal of Mathematics 1 Communication on Applied Mathematics and Computation all top 5 Fields 53 Convex and discrete geometry (52-XX) 6 Potential theory (31-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 2 Geometry (51-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 297 times in 155 Documents Cited by ▼ Year ▼ Orlicz-John ellipsoids. Zbl 1301.52015 Zou, Du; Xiong, Ge 59 2014 Extremum problems for the cone volume functional of convex polytopes. Zbl 1213.52011 Ge, Xiong 48 2010 The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1453.31012 Du, Zou; Ge, Xiong 25 2020 Orlicz-Legendre ellipsoids. Zbl 1369.52015 Zou, Du; Xiong, Ge 24 2016 The \(L _p\) capacitary Minkowski problem for polytopes. Zbl 1441.52005 Xiong, Ge; Xiong, Jiawei; Xu, Lu 21 2019 Orlicz mixed quermassintegrals. Zbl 1328.52003 Ge, Xiong; Du, Zou 18 2014 The minimal Orlicz surface area. Zbl 1376.52017 Zou, Du; Xiong, Ge 14 2014 A unified treatment for \(L_p\) Brunn-Minkowski type inequalities. Zbl 1391.52011 Zou, Du; Xiong, Ge 9 2018 The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p} \)-capacity for \(\mathfrak{p} \geqslant n\). Zbl 1483.31025 Lu, Xinbao; Xiong, Ge 7 2021 The Orlicz Brunn-Minkowski inequality for the projection body. Zbl 1436.52008 Zou, Du; Xiong, Ge 5 2020 A new affine invariant geometric functional for polytopes and its associated affine isoperimetric inequalities. Zbl 1495.52014 Hu, Jiaqi; Xiong, Ge 5 2021 On mixed \(L_{p}\) John ellipsoids. Zbl 1433.52008 Hu, Jiaqi; Xiong, Ge; Zou, Du 5 2019 Orlicz mixed affine quermassintegrals. Zbl 1327.52011 Li, Deyi; Zou, Du; Xiong, Ge 4 2015 Inequalities for chord power integrals. Zbl 1145.52003 Xiong, Ge; Song, Xiaogang 4 2008 Affine isoperimetric inequalities for intersection mean ellipsoids. Zbl 1431.52007 Hu, Jiaqi; Xiong, Ge; Zou, Du 4 2019 New affine inequalities and projection mean ellipsoids. Zbl 1414.52005 Zou, Du; Xiong, Ge 4 2019 The Orlicz Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1503.52014 Xiong, Ge; Xiong, Jiawei 4 2022 Chord power integrals and radial mean bodies. Zbl 1142.52006 Xiong, Ge; Cheung, Wing-Sum 3 2008 Determination of convex bodies from \(\varGamma\)-section functions. Zbl 1174.52306 Xiong, Ge; Ma, Yanwei; Cheung, Wingsum 3 2008 A new approach to the Minkowski first mixed volume and the LYZ conjecture. Zbl 1469.52009 Lu, Xinbao; Sun, Qiang; Xiong, Ge 3 2021 Sharp affine isoperimetric inequalities for the Minkowski first mixed volume. Zbl 1443.52007 Sun, Qiang; Xiong, Ge 3 2020 The logarithmic capacitary Minkowski problem for polytopes. Zbl 1486.31017 Xiong, Ge; Xiong, Jia Wei 3 2022 Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. Zbl 1479.52015 Liu, Yude; Sun, Qiang; Xiong, Ge 3 2021 The logarithmic John ellipsoid. Zbl 1403.52008 Hu, Jiaqi; Xiong, Ge 3 2018 Reconstructing triangles inscribed in convex bodies from \(X\)-ray functions. Zbl 1083.52500 Xiong, Ge; Li, Deyi 2 2004 Radial mean bodies of simplices. Zbl 1140.52301 Ni, Jianhua; Xiong, Ge; Cheung, Wingsum 2 2007 Bounds for inclusion measures of convex bodies. Zbl 1158.52011 Xiong, Ge; Cheung, Wing-Sum; Li, De-Yi 2 2008 On the continuity of the solutions to the \(L_p\) capacitary Minkowski problem. Zbl 1466.52012 Xiong, Ge; Xiong, Jiawei 2 2021 The logarithmic Minkowski inequality for cylinders. Zbl 07660721 Tao, Jiangyan; Xiong, Ge; Xiong, Jiawei 2 2023 Convex bodies with identical John and LYZ ellipsoids. Zbl 1409.52016 Zou, Du; Xiong, Ge 2 2018 Intersection bodies and inclusion measures of convex bodies. Zbl 1068.52006 Xiong, Ge; Li, Deyi; Zhong, Lüzhou 1 2003 Inclusion measures of convex bodies. Zbl 1125.52006 Xiong, Ge; Ni, Jianhua; Ruan, Zhengqian 1 2007 Firey linear combinations of convex bodies. Zbl 1212.52007 Xiong, Ge; Xiao, Qiming; Cheung, Wingsum 1 2009 Steiner symmetrization \((n-1)\) times is sufficient to transform an ellipsoid to a ball in \(\mathbb{R}^n\). Zbl 1471.52002 Liu, Yude; Sun, Qiang; Xiong, Ge 1 2021 The logarithmic Minkowski inequality for cylinders. Zbl 07660721 Tao, Jiangyan; Xiong, Ge; Xiong, Jiawei 2 2023 The Orlicz Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1503.52014 Xiong, Ge; Xiong, Jiawei 4 2022 The logarithmic capacitary Minkowski problem for polytopes. Zbl 1486.31017 Xiong, Ge; Xiong, Jia Wei 3 2022 The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p} \)-capacity for \(\mathfrak{p} \geqslant n\). Zbl 1483.31025 Lu, Xinbao; Xiong, Ge 7 2021 A new affine invariant geometric functional for polytopes and its associated affine isoperimetric inequalities. Zbl 1495.52014 Hu, Jiaqi; Xiong, Ge 5 2021 A new approach to the Minkowski first mixed volume and the LYZ conjecture. Zbl 1469.52009 Lu, Xinbao; Sun, Qiang; Xiong, Ge 3 2021 Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes. Zbl 1479.52015 Liu, Yude; Sun, Qiang; Xiong, Ge 3 2021 On the continuity of the solutions to the \(L_p\) capacitary Minkowski problem. Zbl 1466.52012 Xiong, Ge; Xiong, Jiawei 2 2021 Steiner symmetrization \((n-1)\) times is sufficient to transform an ellipsoid to a ball in \(\mathbb{R}^n\). Zbl 1471.52002 Liu, Yude; Sun, Qiang; Xiong, Ge 1 2021 The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. Zbl 1453.31012 Du, Zou; Ge, Xiong 25 2020 The Orlicz Brunn-Minkowski inequality for the projection body. Zbl 1436.52008 Zou, Du; Xiong, Ge 5 2020 Sharp affine isoperimetric inequalities for the Minkowski first mixed volume. Zbl 1443.52007 Sun, Qiang; Xiong, Ge 3 2020 The \(L _p\) capacitary Minkowski problem for polytopes. Zbl 1441.52005 Xiong, Ge; Xiong, Jiawei; Xu, Lu 21 2019 On mixed \(L_{p}\) John ellipsoids. Zbl 1433.52008 Hu, Jiaqi; Xiong, Ge; Zou, Du 5 2019 Affine isoperimetric inequalities for intersection mean ellipsoids. Zbl 1431.52007 Hu, Jiaqi; Xiong, Ge; Zou, Du 4 2019 New affine inequalities and projection mean ellipsoids. Zbl 1414.52005 Zou, Du; Xiong, Ge 4 2019 A unified treatment for \(L_p\) Brunn-Minkowski type inequalities. Zbl 1391.52011 Zou, Du; Xiong, Ge 9 2018 The logarithmic John ellipsoid. Zbl 1403.52008 Hu, Jiaqi; Xiong, Ge 3 2018 Convex bodies with identical John and LYZ ellipsoids. Zbl 1409.52016 Zou, Du; Xiong, Ge 2 2018 Orlicz-Legendre ellipsoids. Zbl 1369.52015 Zou, Du; Xiong, Ge 24 2016 Orlicz mixed affine quermassintegrals. Zbl 1327.52011 Li, Deyi; Zou, Du; Xiong, Ge 4 2015 Orlicz-John ellipsoids. Zbl 1301.52015 Zou, Du; Xiong, Ge 59 2014 Orlicz mixed quermassintegrals. Zbl 1328.52003 Ge, Xiong; Du, Zou 18 2014 The minimal Orlicz surface area. Zbl 1376.52017 Zou, Du; Xiong, Ge 14 2014 Extremum problems for the cone volume functional of convex polytopes. Zbl 1213.52011 Ge, Xiong 48 2010 Firey linear combinations of convex bodies. Zbl 1212.52007 Xiong, Ge; Xiao, Qiming; Cheung, Wingsum 1 2009 Inequalities for chord power integrals. Zbl 1145.52003 Xiong, Ge; Song, Xiaogang 4 2008 Chord power integrals and radial mean bodies. Zbl 1142.52006 Xiong, Ge; Cheung, Wing-Sum 3 2008 Determination of convex bodies from \(\varGamma\)-section functions. Zbl 1174.52306 Xiong, Ge; Ma, Yanwei; Cheung, Wingsum 3 2008 Bounds for inclusion measures of convex bodies. Zbl 1158.52011 Xiong, Ge; Cheung, Wing-Sum; Li, De-Yi 2 2008 Radial mean bodies of simplices. Zbl 1140.52301 Ni, Jianhua; Xiong, Ge; Cheung, Wingsum 2 2007 Inclusion measures of convex bodies. Zbl 1125.52006 Xiong, Ge; Ni, Jianhua; Ruan, Zhengqian 1 2007 Reconstructing triangles inscribed in convex bodies from \(X\)-ray functions. Zbl 1083.52500 Xiong, Ge; Li, Deyi 2 2004 Intersection bodies and inclusion measures of convex bodies. Zbl 1068.52006 Xiong, Ge; Li, Deyi; Zhong, Lüzhou 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 150 Authors 30 Xiong, Ge 8 Böröczky, Karoly jun. 8 Feng, Yibin 8 Zou, Du 6 Wang, Weidong 5 Chen, Fangwei 5 Cheung, Wingsum 5 Hu, Zejun 5 Xiong, Jiawei 4 Henk, Martin 4 Hu, Jiaqi 4 Ma, Tongyi 4 Shi, Wei 4 Sun, Qiang 4 Wang, Wei 4 Yang, Congli 4 Zhao, Yiming 4 Zhou, Yanping 3 Chen, Shibing 3 Chen, Zhengmao 3 He, Binwu 3 He, Rigao 3 Hu, Jinrong 3 Hu, Shengnan 3 Ji, Lewen 3 Lin, Youjiang 3 Liu, Lijuan 3 Liu, Weiru 3 Lu, Xinbao 3 Wu, Denghui 3 Xu, Lu 3 Yang, Deane 3 Ye, Deping 3 Zhang, Ping 3 Zhang, Zengle 3 Zhou, Jiazu 3 Zhu, Baocheng 2 Bianchi, Gabriele 2 Colesanti, Andrea 2 Du, Zou 2 Hoehner, Steven D. 2 Hong, Han 2 Huang, Qingzhong 2 Huang, Yong 2 Li, Aijun 2 Li, Deyi 2 Liu, Jiaqian 2 Liu, Yannan 2 Lu, Jian 2 Lutwak, Erwin 2 Mou, Shuang 2 Ni, Jianhua 2 Xi, Dongmeng 2 Xia, Yunwei 2 Xie, Fengfan 2 Xing, Sudan 2 Xu, Wenxue 2 Yang, Jin 2 Yang, Yunlong 2 Yang, Zhihui 2 Zhang, Deyan 2 Zhang, Gaoyong 2 Zhao, Changjian 2 Zhu, Guangxian 1 Ahmadi Javid, Amir 1 Ai, Wen 1 Artstein-Avidan, Shiri 1 Barthe, Franck 1 Bo, Yunfei 1 Bryan, Paul 1 Cai, Xin 1 Chen, Beifang 1 Chen, ChuanQiang 1 Chen, Feixiang 1 Chen, Rui 1 Chen, RuiFang 1 Cheng, Manli 1 Colombo, Giovanni 1 Dai, Jin 1 Dai, Qiuyi 1 De, Apratim 1 Eller, Katharina 1 Fang, Niufa 1 Gorkavyĭ, Vasyl A. 1 Guo, Lujun 1 Haberl, Christoph 1 He, Jia 1 Heinrich, Lothar 1 Hu, Huilan 1 Ivaki, Mohammad N. 1 Jian, Huai-Yu 1 Ju, Hongjie 1 Kalantzopoulos, Pavlos 1 Kalinin, Dmytro 1 Ledford, Jeff 1 Leng, Gangsong 1 Li, Boya 1 Li, Chao 1 Li, Hai 1 Li, Juan ...and 50 more Authors all top 5 Cited in 52 Serials 18 Advances in Mathematics 16 Advances in Applied Mathematics 10 Journal of Mathematical Analysis and Applications 8 Proceedings of the American Mathematical Society 8 Calculus of Variations and Partial Differential Equations 7 The Journal of Geometric Analysis 6 Results in Mathematics 5 Geometriae Dedicata 5 Journal of Function Spaces 4 Monatshefte für Mathematik 4 Transactions of the American Mathematical Society 4 Journal of Inequalities and Applications 4 Journal of Shanghai University 4 Acta Mathematica Scientia. Series B. (English Edition) 3 Mathematical Inequalities & Applications 3 Science China. Mathematics 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Quaestiones Mathematicae 2 Acta Mathematica Hungarica 2 Journal of the American Mathematical Society 2 Indagationes Mathematicae. New Series 2 Advanced Nonlinear Studies 2 Journal of Mathematical Inequalities 2 Open Mathematics 1 Applicable Analysis 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematika 1 Bulletin of the Iranian Mathematical Society 1 Discrete & Computational Geometry 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Potential Analysis 1 Filomat 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Advances in Geometry 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Asian-European Journal of Mathematics 1 AIMS Mathematics all top 5 Cited in 17 Fields 143 Convex and discrete geometry (52-XX) 23 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 12 Potential theory (31-XX) 6 Functional analysis (46-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 4 Geometry (51-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year