Ge Xiong

Generating author description...

All published works

Action	Title	Year	Authors
+	On Legendre and LYZ ellipsoids	2025	Xinbao Lu Ge Xiong Jiangyan Tao
+	Connections between the LYZ functionals and volume decomposition functionals of polytopes	2024	Yude Liu Ge Xiong
+	Subspace concentration of zonoids and a sharp Minkowski mixed volume inequality	2024	Qiang Sun Ge Xiong
+	Sections of convex bodies and Hanner polytopes	2024	Xinbao Lu Jiangyan Tao Ge Xiong
+ PDF Chat	Recursion formulas, concentration polytope, and sharp affine isoperimetric inequalities for the volume decomposition functionals	2024	Yude Liu Qiang Sun Ge Xiong
+	The logarithmic Minkowski problem in $R^2$	2024	Yude Liu Xinbao Lu Qiang Sun Ge Xiong
+	The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity for $p \gt 1$ and $\mathfrak{p} \geqslant n^\ast$	2024	Xinbao Lu Ge Xiong Jiawei Xiong
+	Subspace concentration of mixed volume measures	2023	Qiang Sun Ge Xiong
+	The Lp John ellipsoids for negative indices	2022	Xinbao Lu Ge Xiong
+	The Orlicz Minkowski problem for the electrostatic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="fraktur">p</mml:mi></mml:math>-capacity	2022	Ge Xiong Jiawei Xiong
+	The Logarithmic Capacitary Minkowski Problem for Polytopes	2022	Ge Xiong Jia Wei Xiong
+	Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes	2021	Yude Liu Qiang Sun Ge Xiong
+ PDF Chat	On the continuity of the solutions to the $L_p$ capacitary Minkowski problem	2021	Ge Xiong Jiawei Xiong
+ PDF Chat	The $L_p$ Minkowski problem for the electrostatic $\mathfrak{p}$-capacity	2020	Du Zou Ge Xiong
+ PDF Chat	Correction to: Steiner symmetrization $$(n-1)$$ times is sufficient to transform an ellipsoid to a ball in $${\mathbb {R}}^{n}$$	2020	Yude Liu Qiang Sun Ge Xiong
+	Steiner symmetrization $$(n-1)$$ times is sufficient to transform an ellipsoid to a ball in $${\mathbb {R}}^n$$	2020	Yude Liu Qiang Sun Ge Xiong
+	Sharp affine isoperimetric inequalities for the Minkowski first mixed volume	2020	Qiang Sun Ge Xiong
+	A New Approach to the Minkowski First Mixed Volume and the LYZ Conjecture	2019	Xinbao Lu Qiang Sun Ge Xiong
+	Affine isoperimetric inequalities for intersection mean ellipsoids	2019	Jiaqi Hu Ge Xiong Du Zou
+	Extremal problems for L surface areas and John ellipsoids	2019	Yunfei Bo Ge Xiong
+	On mixed <i>L<sub>p</sub> </i> John ellipsoids	2019	Jiaqi Hu Ge Xiong Du Zou
+	The L capacitary Minkowski problem for polytopes	2019	Ge Xiong Jiawei Xiong Lu Xu
+	A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities	2019	Jiaqi Hu Ge Xiong
+	The Orlicz Brunn–Minkowski Inequality for the Projection Body	2019	Du Zou Ge Xiong
+	New affine inequalities and projection mean ellipsoids	2019	Du Zou Ge Xiong
+	The logarithmic John ellipsoid	2018	Jiaqi Hu Ge Xiong
+ PDF Chat	A unified treatment for $L_p$ Brunn-Minkowski type inequalities	2018	Du Zou Ge Xiong
+	Lp Minkowski problem for electrostatic $\mathfrak{p}$-capacity	2017	Du Zou Ge Xiong
+	Convex Bodies with Identical John and LYZ Ellipsoids	2016	Du Zou Ge Xiong
+	A unified treatment for Lp Brunn-Minkowski type inequalities	2016	Du Zou Ge Xiong
+ PDF Chat	Orlicz–Legendre Ellipsoids	2015	Du Zou Ge Xiong
+	Orlicz mixed affine quermassintegrals	2015	Deyi Li Du Zou Ge Xiong
+	The minimal Orlicz surface area	2014	Du Zou Ge Xiong
+	Orlicz–John ellipsoids	2014	Du Zou Ge Xiong
+	Orlicz mixed quermassintegrals	2014	Ge Xiong Du Zou
+	Orlicz-Legendre Ellipsoids	2014	Du Zou Ge Xiong
+	Extremum problems for the cone volume functional of convex polytopes	2010	Ge Xiong
+	The John Theorem for Simplex	2010	Lin Si Ge Xiong Gangsong Leng
+	The John Theorem for Simplex	2010	Lin Si Ge Xiong Gangsong Leng
+	CHORD POWER INTEGRALS OF SIMPLICES	2009	Wing‐Sum Cheung Ge Xiong
+	Firey linear combinations of convex bodies	2009	Ge Xiong Qiming Xiao Wing‐Sum Cheung
+	Bounds for inclusion measures of convex bodies	2008	Ge Xiong Wing‐Sum Cheung Deyi Li
+	Determination of convex bodies from Γ-section functions	2008	Ge Xiong Yan-wei Ma Wing‐Sum Cheung
+ PDF Chat	INEQUALITIES FOR CHORD POWER INTEGRALS	2008	Ge Xiong Xiaogang Song
+	Chord power integrals and radial mean bodies	2007	Ge Xiong Wing‐Sum Cheung
+	Inclusion measures of convex bodies (II)	2007	Ge Xiong Wing‐Sum Cheung
+	Radial mean bodies of simplices	2007	Jian-hua Ni Ge Xiong Wing‐Sum Cheung
+	The john theorem for simplex	2006	Lin Si Ge Xiong Gangsong Leng
+	Inclusion measures of convex bodies ( I )	2006	Ge Xiong Jian-hua Ni
+	Two Fundamental Inequalities of Convex Set in a Plane	2006	Ge Xiong

Common Coauthors

Coauthor	Papers Together
Du Zou	15
Qiang Sun	9
Wing‐Sum Cheung	7
Xinbao Lu	6
Yude Liu	6
Jiaqi Hu	4
Lin Si	3
Jiawei Xiong	3
Gangsong Leng	3
Deyi Li	2
Jiangyan Tao	2
Jian-hua Ni	2
Jia Wei Xiong	1
Yunfei Bo	1
Lu Xu	1
Qiming Xiao	1
Yan-wei Ma	1
Xiaogang Song	1
Jiawei Xiong	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	25
+ PDF Chat	The logarithmic Minkowski problem	2012	Károly J. Böröczky Erwin Lutwak Deane Yang Gaoyong Zhang	22
+	Convex Bodies The Brunn-MinkowskiTheory	2013	Rolf Schneider	20
+	Convex and Discrete Geometry	2007	Peter M. Gruber	20
+ PDF Chat	The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem	1993	Erwin Lutwak	18
+	Convex and Discrete Geometry	2007		18
+	Orlicz–John ellipsoids	2014	Du Zou Ge Xiong	17
+	Extremum problems for the cone volume functional of convex polytopes	2010	Ge Xiong	16
+ PDF Chat	Volume Ratios and a Reverse Isoperimetric Inequality	1991	Keith Ball	15
+	A new ellipsoid associated with convex bodies	2000	Erwin Lutwak Deane Yang Gaoyong Zhang	15
+	$L_p$ John Ellipsoids	2005	Erwin Lutwak Deane Yang Gaoyong Zhang	14
+	The log-Brunn–Minkowski inequality	2012	Károly J. Böröczky Erwin Lutwak Deane Yang Gaoyong Zhang	14
+	Cone-volume measures of polytopes	2013	Martin Henk Eva Linke	14
+ PDF Chat	A new affine invariant for polytopes and Schneider’s projection problem	2001	Erwin Lutwak Deane Yang Gaoyong Zhang	13
+	The Discrete Planar L0-Minkowski Problem	2002	Alina Stancu	12
+ PDF Chat	Ellipsoids of maximal volume in convex bodies	1992	Keith Ball	12
+	Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space	2006	Vitali Milman Alain Pajor	11
+ PDF Chat	Lp Affine Isoperimetric Inequalities	2000	Erwin Lutwak Deane Yang Gaoyong Zhang	11
+	The even Orlicz Minkowski problem	2010	Christoph Haberl Erwin Lutwak Deane Yang Gaoyong Zhang	11
+	Cone-volume measure of general centered convex bodies	2015	Károly J. Böröczky Martin Henk	11
+	Affine images of isotropic measures	2015	Károly J. Böröczky Erwin Lutwak Deane Yang Gaoyong Zhang	11
+ PDF Chat	Isotropic surface area measures	1999	Apostolos Giannopoulos Michael Papadimitrakis	10
+ PDF Chat	The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities	2014	Richard J. Gardner Daniel Hug Wolfgang Weil	10
+	Affine inequalities and radial mean bodies	1998	Richard J. Gardner Gaoyong Zhang	10
+	Ellipsoids and matrix-valued valuations	2003	Monika Ludwig	10
+ PDF Chat	General affine surface areas	2010	Monika Ludwig	10
+	Restricted chord projection and affine inequalities	1991	Gaoyong Zhang	10
+	Orlicz projection bodies	2009	Erwin Lutwak Deane Yang Gaoyong Zhang	10
+	The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ	2006	Assaf Naor	10
+ PDF Chat	On a reverse form of the Brascamp-Lieb inequality	1998	Franck Barthe	10
+ PDF Chat	Orlicz–Legendre Ellipsoids	2015	Du Zou Ge Xiong	9
+	A classification of SL(n) invariant valuations	2010	Monika Ludwig Matthias Reitzner	9
+ PDF Chat	On the $L_{p}$-Minkowski problem	2003	Erwin Lutwak Deane Yang Gaoyong Zhang	9
+	Ellipsoids defined by Banach ideal norms	1979	D. R. Lewis	9
+	Projection problems for symmetric polytopes	2006	Binwu He Gangsong Leng Kanghai Li	9
+ PDF Chat	Orlicz centroid bodies	2010	Erwin Lutwak Deane Yang Gaoyong Zhang	9
+	Extremal problems and isotropic positions of convex bodies	2000	Apostolos Giannopoulos Vitali Milman	9
+	Positions of convex bodies associated to extremal problems and isotropic measures	2003	Jesús Bastero Miguel Romance	9
+	The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-Minkowski problem and the Minkowski problem in centroaffine geometry	2005	Kai-Seng Chou Xu‐Jia Wang	9
+	Integral Geometry and Geometric Probability	2004	Luis A. Santaló Mark Kac	8
+	A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities	2019	Jiaqi Hu Ge Xiong	8
+ PDF Chat	An arithmetic proof of John’s ellipsoid theorem	2005	Peter M. Gruber Franz E. Schuster	8
+ PDF Chat	Volume Inequalities for Subspaces of L p	2004	Erwin Lutwak Deane Yang Gaoyong Zhang	8
+ PDF Chat	Operations between sets in geometry	2013	Richard J. Gardner Daniel Hug Wolfgang Weil	8
+ PDF Chat	A volume inequality for polar bodies	2010	Erwin Lutwak Deane Yang Gaoyong Zhang	8
+ PDF Chat	Surface area of a convex body under affine transformations	1961	C. M. Petty	8
+	On John-Type Ellipsoids	2004	Bo’az Klartag	8
+ PDF Chat	New <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> affine isoperimetric inequalities	2008	Elisabeth M. Werner Deping Ye	8
+	The Lp-Busemann–Petty Centroid Inequality	2002	Stefano Campi Paolo Gronchi	8
+ PDF Chat	Relative entropy of cone measures and <i>L</i> <sub> <i>p</i> </sub> centroid bodies	2011	Grigoris Paouris Elisabeth M. Werner	7