Convex and Discrete Geometry

[1] On The Discrete Orlicz Minkowski Problem

Yuchi Wu Shanghai University Dongmeng Xi Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:2112.40005

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 371, (3), 1795-1814, 2019.2
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[2] Orlicz affine isoperimetric inequalities for star bodies

Youjiang Lin Chongqing Technology and Business University Dongmeng Xi Shanghai University

Convex and Discrete Geometry mathscidoc:2112.40004

Advances in Applied Mathematics, 2021.12
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[3] General Affine Invariances Related to Mahler Volume

Dongmeng Xi Shanghai University Yiming Zhao Massachusetts Institute of Technology

Convex and Discrete Geometry mathscidoc:2112.40003

International Mathematics Research Notices, 2021.4
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[4] Affine Orlicz Pólya–Szegö Principles and Their Equality Cases

Youjiang Lin Chongqing Technology and Business University Dongmeng Xi Shanghai University; Fudan University

Convex and Discrete Geometry mathscidoc:2112.40002

International Mathematics Research Notices, (9), 7159-7204, 2021.1
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[5] The Lp Minkowski problem for the electrostatic P-capacity for P>n

Xinbao Lu Tongji University Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:2112.40001

Indiana University Mathematics Journal, 70, (5), 1869-1901, 2021.11
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[6] A New Affine Invariant Geometric Functional for Polytopes and Its Associated Affine Isoperimetric Inequalities

Hu Jiaqi Fudan University Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:2108.40004

International Mathematics Research Notices, 2021, No. 12, pp. 8977–8995, 2021.5
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[7] A New Approach to the Minkowski First Mixed Volume and the LYZ Conjecture

Lu Xinbao Tongji University Sun Qiang Tongji University Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:2108.40003

Discrete & Computational Geometry, 66, (2021)122–139, 2021.6
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[8] Sharp affine isoperimetric inequalities for the Minkowski first mixed volume

Sun Qiang Tongji University Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:2108.40002

Bull. London Math. Soc., 52, 52 (2020) 161–174, 2020.6
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[9] Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes

Liu Yude Tongji University Sun Qiang Tongji University Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:2108.40001

Advances in Mathematics, 389, 107902, 2021.8
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[10] Rigidity of inversive distance circle packings revisited

Xu Xu Wuhan University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2104.15003

Advances in Mathematics, 332, 476–509, 2018.5
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[11] Combinatorial Calabi flow with surgery on surfaces

Xu Xu Wuhan University Xiang Zhu Shanghai University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2104.15002

Calculus of Variations and Partial Differential Equations, 58, (6), 195, 2019.12
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[12] On the global rigidity of sphere packings on 3-dimensional manifolds

Xu Xu Wuhan University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2104.15001

Journal of Differential Geometry, 115, (1), 175-193, 2020.5
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[13] The Lp capacitary Minkowski problem for polytopes

Xiong Ge Tongji University Xiong Jiawei Tongji University Xu Lu Hunan University

Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2103.15001

Journal of Functional Analysis, 277, (9), 3131–3155, 2019
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[14] New affine inequalities and projectionmean ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Differential Geometry Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:2103.10003

Calculus of Variations and PDEs, 58, (2), 44, 2019
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[15] Nodal geometry of graphs on surfaces

Yong Lin Gbor Lippner Dan Mangoubi Shing-Tung Yau

Convex and Discrete Geometry mathscidoc:1912.43645

arXiv preprint arXiv:1307.3226, 2013.7
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[16] Eigenvalue inequalities for graphs and convex subgraphs

Fan RK Chung Shing-Tung Yau

Convex and Discrete Geometry mathscidoc:1912.43552

Communications in Analysis and Geometry, 5, (4), 575-623, 1997
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[17] A Harnack inequality for homogeneous graphs and subgraphs

Fan RK Chung Shing-Tung Yau

Convex and Discrete Geometry mathscidoc:1912.43539

Comm. Anal. Geom, 2, (4), 627-640, 1994
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[18] Upper bounds for eigenvalues of the discrete and continuous Laplace operators

Fan RK Chung A Grigor'Yan Shing-Tung Yau

Convex and Discrete Geometry mathscidoc:1912.43525

advances in mathematics, 117, (2), 165-178, 1996.2
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[19] Graph homotopy and Graham homotopy

Beifang Chen Shing-Tung Yau Yeong-Nan Yeh

Convex and Discrete Geometry mathscidoc:1912.43524

Discrete Mathematics, 241, 153-170, 2001.10
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[20] On the regularity of the solution of the <i>n</i>dimensional Minkowski problem

ShiuYuen Cheng Shing-Tung Yau

Convex and Discrete Geometry mathscidoc:1912.43480

Communications on pure and applied mathematics, 29, (5), 495-516, 1976.9
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[21] On the Lp dual Minkowski problem

Yong Huang Hunan University Yiming Zhao New York University

Convex and Discrete Geometry mathscidoc:1911.43009

Advances in Mathematics, (332), 57-84, 2018
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[22] Smooth solutions to the Lp dual Minkowski problem

Chuanqiang Chen Zhejiang University of Technology Yong Huang Hunan University Yiming Zhao Massachusetts Institute of Technology

Convex and Discrete Geometry mathscidoc:1911.43008

Math. Ann., 373, 953-976, 2019
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[23] A discrete uniformization theorem for polyhedral surfaces

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Nanjing Foreign Language School Tianqi Wu New York University

Differential Geometry Convex and Discrete Geometry mathscidoc:1911.03001

Distinguished Paper Award in 2019

j. differential geometry, 109, (2), 223-256, 2018
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[24] Circular cone convexity and some inequalities associated with circular cones

Jinchuan Zhou Jein-Shan Chen Hao-Feng Hung

Convex and Discrete Geometry mathscidoc:1910.43883

Journal of Inequalities and Applications, 2013, (1), 571, 2013.12
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[25] Volume inequalities for sections and projections ofWulff shapes and their polars

Ai-Jun Li Henan Polytechnic University Qingzhong Huang Jiaxing University Dongmeng Xi Shanghai University

Convex and Discrete Geometry mathscidoc:1908.40005

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[26] Sections and Projections of L_p-Zonoids and Their Polars

Ai-Jun Li Henan Polytechnic University Qingzhong Huang Jiaxing University Dongmeng Xi Shanghai University

Convex and Discrete Geometry mathscidoc:1908.40004

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[27] On the reverse dual Loomis-Whitney inequality

You-Ran Feng Henan Polytechnic University Qingzhong Huang Jiaxing University Ai-Jun Li Henan Polytechnic University

Convex and Discrete Geometry mathscidoc:1908.40003

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[28] New sine ellipsoids and related volume inequalities

Ai-Jun Li Henan Polytechnic University Qingzhong Huang Jiaxing University Dongmeng Xi Shanghai University

Convex and Discrete Geometry mathscidoc:1908.40002

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[29] the lp aleksandrov problem for origin-symmetric polytopes

Yiming Zhao Massachusetts Institute of Technology

Convex and Discrete Geometry mathscidoc:1908.40001

Proceedings of the American Mathematical Society, 2019
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[30] Existence of solutions to the even dual minkowski problem

Yiming Zhao New York University

Analysis of PDEs Convex and Discrete Geometry mathscidoc:1908.03002

Journal of Differential Geometry, 110, (3), 543-572, 2018
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[31] A note on deconvolution with completely monotone sequences and discrete fractional calculus

Lei Li Jian-Guo Liu

Convex and Discrete Geometry mathscidoc:1905.43015

Quart. Appl. Math., 76, 189-198, 2018
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[32] A geometric view of optimal transportation and generative model

Na Lei Dalian University of Technology Kehua Su Wuhan University Li Cui Beijing Normal University Shing-Tung Yau Harvard University Xianfeng Gu Stony Brook University

Computational Geometry Convex and Discrete Geometry Machine Learning TBD mathscidoc:1905.09001

Computer Aided Geometric Design, 68, 1-21, 2019.1
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[33] Affine function-valued valuations

Jin Li Vienna University of Technology

Convex and Discrete Geometry mathscidoc:1904.40003

International Mathematics Research Notices, 212, 2018
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[34] Sharp geometric inequalities for the general $p$-affine capacity

Han Hong Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Metric Geometry Convex and Discrete Geometry mathscidoc:1904.23001

J. Geom. Anal., 28, (3), 2254-2287, 2018.7
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[35] The dual Orlicz-Minkowski problem

Baocheng Zhu Hubei University for Nationalities Sudan Xing Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Analysis of PDEs Functional Analysis Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:1904.03005

J. Geom. Anal., 28, (14), 3829–3855, 2018.12
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[36] General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I

Richard J. Gardner Western Washington University Daniel Hug Karlsruhe Institute of Technology Wolfgang Weil Karlsruhe Institute of Technology Sudan Xing Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Analysis of PDEs Functional Analysis Geometric Analysis and Geometric Topology Convex and Discrete Geometry mathscidoc:1904.03004

Calc. Var. PDE., 58, 12, 2019
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[37] The Orlicz-Petty bodies

Baocheng Zhu Hubei University for Nationalities Han Hong Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland

Convex and Discrete Geometry mathscidoc:1904.40002

Int. Math. Res. Notices, 2018, 4356-4403, 2018.7
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[38] Sphere packing bounds via spherical codes

Henry Cohn Microsoft Research Yufei Zhao MIT

Convex and Discrete Geometry mathscidoc:1904.40001

Duke Mathematical Journal , 163, 1965--2002, 2014
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[39] SL(n) covariant vector valuations on polytopes

Chunna Zeng Chongqing Normal University Dan Ma Shanghai Normal University

Convex and Discrete Geometry mathscidoc:1903.40001

Transactions of the American Mathematical Society, 370, (12), 8999–9023, 2018.12
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[40] The Dual Orlicz-Brunn-Minkowski theory

Richard J. Gardner Western Washington University Daniel Hug Karlsruhe Institute of Technology Wolfgang Weil Karlsruhe Institute of Technology Deping Ye Memorial University of Newfoundland

Convex and Discrete Geometry mathscidoc:1806.40003

J. Math. Anal. Appl., 430, 810-829, 2015
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[41] $L_p$ geominimal surface areas and their inequalities

Deping Ye Memorial University of Newfoundland

Convex and Discrete Geometry mathscidoc:1806.40002

Int. Math. Res. Notes, 2015, 2465- 2498, 2015
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[42] On the monotone properties of general affine surface areas under the Steiner symmetrization

Deping Ye Memorial University of Newfoundland

Convex and Discrete Geometry mathscidoc:1806.40001

Indiana Univ. Math. J., 63, (1), 1-19, 2014
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[43] The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems

Han Hong Memorial University of Newfoundland Deping Ye Memorial University of Newfoundland Ning Zhang University of Alberta

Analysis of PDEs Functional Analysis Convex and Discrete Geometry mathscidoc:1805.03001

Calculus of Variations and Partial Differential Equations, 57, 5, 2018.2
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[44] Entanglement Thresholds for Random Induced States

Guillaume Aubrun Université Claude Bernard Lyon 1 Stanislaw J. Szarek Case Western Reserve University Deping Ye Memorial University of Newfoundland

Functional Analysis Information Theory Convex and Discrete Geometry mathscidoc:1805.12001

Comm. Pure Appl. Math., 67, (1), 129-171, 2014.1
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[45] Enumeration of points, lines, planes, etc.

June Huh Institute for Advanced Study Botong Wang University of Wisconsin-Madison

Combinatorics Convex and Discrete Geometry mathscidoc:1803.43005

Acta Mathematica, 218, (2), 2017
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[46] A Discrete Uniformization Theorem for Polyhedral Surfaces II

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Tsinghua University Tianqi Wu Tsinghua University

Differential Geometry Convex and Discrete Geometry mathscidoc:1705.10003

Accepted by Journal of Differential Geometry (JDG), 2016
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[47] A Discrete Uniformization Theorem for Polyhedral Surfaces I

Xianfeng Gu Stony Brook University Feng Luo Rutgers University Jian Sun Tsinghua University Tianqi Wu Tsinghua University

Differential Geometry Convex and Discrete Geometry mathscidoc:1705.10002

Accepted by Journal of Differential Geometry, 2016
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[48] Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization

Caihua Chen Nanjing University Raymond H. Chan The Chinese University of Hong Kong Shiqian Ma The Chinese University of Hong Kong Junfeng Yang Nanjing University

Optimization and Control Convex and Discrete Geometry mathscidoc:1705.27001

Distinguished Paper Award in 2017

SIAM Journal on Imaging Sciences, 8, (4), 2239-2267, 2015
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[49] Mixed brightness-integrals of convex bodies

Ni Li Hubei University for Nationalities Baocheng Zhu Hubei University for Nationalities

Convex and Discrete Geometry mathscidoc:1703.40041

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[50] Dual Orlicz-Brunn-Minkowski theory

Baocheng Zhu Hubei University for Nationalities Jiazu Zhou Southwest University Wenxue Xu Southwest University

Convex and Discrete Geometry mathscidoc:1703.40040

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[51] The mixed Lp geominimal surface areas for multiple convex bodies

Deping Ye Memorial University of Newfoundland Baocheng Zhu Hubei University for Nationalities Jiazu Zhou Southwest University

Convex and Discrete Geometry mathscidoc:1703.40039

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[52] Isoperimetric inequalities for Lp geominimal surface area

Baocheng Zhu Hubei University for Nationalities Ni Li Hubei University for Nationalities Jiazu Zhou Southwest University

Convex and Discrete Geometry mathscidoc:1703.40038

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[53] Lp mixed geominimal surfacearea

Baocheng Zhu Hubei University for Nationalities Jiazu Zhou Southwest University Wenxue Xu Southwest University

Convex and Discrete Geometry mathscidoc:1703.09002

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[54] Dar's conjecture and the log-Brunn-Minkowski inequality

Dongmeng Xi Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40037

Distinguished Paper Award in 2017

Journal of Differential Geometry, 103, 145-189, 2016
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[55] Affine inequalities for Lp mean zonoids

Dongmeng Xi Shanghai University Lujun Guo Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40036

Bulletin of the London Mathematical Society, 46, 367-378, 2014
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[56] The Orlicz Brunn-Minkowski inequality

Dongmeng Xi Shanghai University Hailin Jin Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40035

Advances in Mathematics, 260, 350-374, 2014.5
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[57] Lp minkowski valuations on polytopes

Jin Li Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40034

Adv. Math., 299, 139-173, 2016
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[58] Orlicz valuations

Jin Li Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40033

Indiana Univ. Math. J.
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[59] Lp-Blaschke valuations

Jin Li Shanghai University Shufeng Yuan Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40032

Trans. Amer. Math. Soc., 367, (5), 3161-3187, 2015
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[60] An asymmetric Orlicz centroid inequality for probability measures

Qingzhong Huang Shanghai university Binwu He Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40031

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[61] The Busemann theorem for complex p-convex bodies

Qingzhong Huang Shanghai University Binwu He Shanghai University Guangting Wang Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40030

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[62] Volume inequalities for complex isotropic measures

Qingzhong Huang Shanghai University Binwu He Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40029

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[63] On the Loomis-Whitney inequality for isotropic measures

Qingzhong Huang Jiaxing University Ai-Jun Li Henan Polytechnic University

Convex and Discrete Geometry mathscidoc:1703.40028

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[64] Gaussian inequalities for Wulff shapes

Qingzhong Huang Shanghai University Binwu He Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40027

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[65] Optimal Sobolev norms in the affine class

Qingzhong Huang Jiaxing university Ai-Jun Li Henan Polytechnic University

Convex and Discrete Geometry mathscidoc:1703.40026

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[66] On the Orlicz Minkowski problem for polytopes

Qingzhong Huang Shanghai University Binwu He Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40025

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[67] Convex bodies with minimal volume product in R^2-a new proof

Youjiang Lin

Convex and Discrete Geometry mathscidoc:1703.40024

Discrete Mathematics
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[68] The dual Loomis-Whitney inequality

Ai-Jun Li Henan Polytechnic University Qingzhong Huang Jiaxing University

Convex and Discrete Geometry mathscidoc:1703.40023

Bull. London Math. Soc., 48, 676–690, 2016
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[69] The Lp Loomis-Whitney inequality

Ai-Jun Li Henan Polytechnic University Qingzhong Huang Jiaxing University

Convex and Discrete Geometry mathscidoc:1703.40022

Advances in Applied Mathematics, 75, 94-115, 2016
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[70] Volume inequalities of convex bodies from cosine transforms on Grassmann manifolds

Ai-Jun Li Henan Polytechnic University Dongmeng Xi Shanghai University Gaoyong Zhang New York University

Convex and Discrete Geometry mathscidoc:1703.40021

Advances in Mathematics, 304, 494–538, 2017.1
[ Download ] [ 2017-03-04 09:02:29 uploaded by liaijun ] [ 646 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[71] On Bonnesen-type inequalities for a surface of constant curvature

Wenxue Xu Southwest University Jiazu Zhou Southwest University Baocheng Zhu Southwest University

Convex and Discrete Geometry mathscidoc:1703.40020

Proc. Amer. Math. Soc., 143, (11), 4925-4935, 2015.11
[ Download ] [ 2017-03-03 22:23:31 uploaded by WenxueXu ] [ 572 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[72] The Lp Minkowski problem for polytopes for p < 0

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40019

[ Download ] [ 2017-03-02 21:42:00 uploaded by guangxian ] [ 1222 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[73] On the discrete logarithmic Minkowski problem

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40018

[ Download ] [ 2017-03-02 21:38:18 uploaded by guangxian ] [ 795 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[74] The orlicz centroid inequality for star bodies

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40017

[ Download ] [ 2017-03-02 21:31:36 uploaded by guangxian ] [ 550 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[75] Optimal Sobolev norms and the Lp Minkowski problem

Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Convex and Discrete Geometry mathscidoc:1703.03002

International Mathematics Research Notices, 62987, 2006
[ Download ] [ 2017-03-02 06:38:57 uploaded by deaneyang ] [ 1319 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[76] Blaschke-Santaló inequalities

Erwin Lutwak New York University Gaoyong Zhang New York University

Convex and Discrete Geometry mathscidoc:1703.40016

Journal of Differential Geometry, 47, (1), 1–16, 1997
[ Download ] [ 2017-03-02 06:32:10 uploaded by lutwak ] [ 581 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[77] The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem

Erwin Lutwak New York University

Convex and Discrete Geometry mathscidoc:1703.40015

Journal of Differential Geometry, 38, (1), 131–150, 1993
[ Download ] [ 2017-03-02 06:28:19 uploaded by lutwak ] [ 1075 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[78] On some affine isoperimetric inequalities

Erwin Lutwak New York University

Convex and Discrete Geometry mathscidoc:1703.40014

Journal of Differential Geometry, 23, (1), 1–13, 1986
[ Download ] [ 2017-03-02 06:26:19 uploaded by lutwak ] [ 785 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[79] The logarithmic Minkowski problem for polytopes

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40013

[ Download ] [ 2017-03-02 06:09:09 uploaded by guangxian ] [ 913 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] The Lp Minkowski problem for polytopes

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40012

[ Download ] [ 2017-03-02 06:01:45 uploaded by guangxian ] [ 686 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] The centro-affine Minkowski problem for polytopes

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40011

[ Download ] [ 2017-03-02 05:55:40 uploaded by guangxian ] [ 327 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[82] The dual Minkowski problem for negative indices

Yiming Zhao New York University

Convex and Discrete Geometry mathscidoc:1703.40010

Calc. Var. Partial Differential Equations, 56, (2), 18, 2017
[ Download ] [ 2017-03-02 05:30:05 uploaded by yiming_zhao ] [ 494 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] On L_p affine surface area and curvature measures

Yiming Zhao New York University

Convex and Discrete Geometry mathscidoc:1703.40009

Int. Math. Res. Not. IMRN, (5), 1387-1423, 2016
[ Download ] [ 2017-03-02 05:21:26 uploaded by yiming_zhao ] [ 470 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[84] The log-Brunn-Minkowski inequality

Károly J. Böröczky Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York Uiversity

Convex and Discrete Geometry mathscidoc:1703.40008

Advances in Mathematics, 231, 1974–1997, 2012
[ Download ] [ 2017-03-02 05:14:56 uploaded by deaneyang ] [ 629 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[85] A volume inequality for polar bodies

Erwin Lutwak Deane Yang Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40007

[ Download ] [ 2017-03-02 04:18:04 uploaded by gaoyong_zhang ] [ 351 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] Volume inequalities for subspaces of L_p

Erwin Lutwak Deane Yang Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40006

[ Download ] [ 2017-03-02 04:14:15 uploaded by gaoyong_zhang ] [ 446 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[87] Sharp affine L_p Sobolev inequalities

Erwin Lutwak Deane Yang Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40005

[ Download ] [ 2017-03-02 04:10:35 uploaded by gaoyong_zhang ] [ 774 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[88] The affine Sobolev inequality

Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40004

[ Download ] [ 2017-03-02 04:08:48 uploaded by gaoyong_zhang ] [ 611 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[89] Blaschke-Santalo inequalities

Erwin Lutwak Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40003

[ Download ] [ 2017-03-02 04:07:15 uploaded by gaoyong_zhang ] [ 463 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] L_p affine isoperimetric inequalities

Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Convex and Discrete Geometry mathscidoc:1703.40002

[ Download ] [ 2017-03-02 04:04:51 uploaded by gaoyong_zhang ] [ 693 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] Laplace transforms and valuations

Jin Li Shanghai University Dan Ma Technische Universitat Wien & Shanghai Normal University

Convex and Discrete Geometry mathscidoc:1703.40001

Journal of Functional Analysis, 272, (2), 738-758, 2017.1
[ Download ] [ 2017-03-01 18:43:58 uploaded by madan ] [ 558 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] The minimal Orlicz surface area

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40009

Advances in Applied Mathematics, 61, (2), 25–45, 2014.8
[ Download ] [ 2017-02-28 13:09:22 uploaded by xiongge ] [ 699 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] Orlicz mixed quermassintegrals

Xiong Ge Tongji University Zou Du Wuhan University of Science and Technology

Convex and Discrete Geometry mathscidoc:1702.40008

SCIENCE CHINA MATHEMATICS, 57, (12), 2549–2562, 2014.12
[ Download ] [ 2017-02-28 13:05:26 uploaded by xiongge ] [ 736 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[94] A unified treatment for Lp Brunn-Minkowski type inequalities

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40007

Communications in Analysis and Geometry, 2017.5
[ Download ] [ 2017-02-28 13:01:49 uploaded by xiongge ] [ 557 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[95] Bounds for inclusion measures of convex bodies

Xiong Ge Tongji University Cheung Wing-Sum The University of Hongkong Li Deyi Wuhan University of Science and Technology

Convex and Discrete Geometry mathscidoc:1702.40006

Advances in Applied Mathematics, 41, (6), 584–598, 2008.12
[ Download ] [ 2017-02-28 12:58:04 uploaded by xiongge ] [ 374 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[96] Orlicz–Legendre ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40005

Journal of Geometric Analysis, 26, (6), 2474–2502, 2016
[ Download ] [ 2017-02-28 12:52:06 uploaded by xiongge ] [ 680 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[97] Orlicz–John ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40004

Advances in Mathematics, 265, (1), 132-168, 2014.8
[ Download ] [ 2017-02-28 12:48:36 uploaded by xiongge ] [ 1110 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[98] Convex Bodies with Identical John and LYZ Ellipsoids

Zou Du Wuhan University of Science and Technology Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40003

International Mathematics Research Notices, 1-22, 2016.12
[ Download ] [ 2017-02-28 12:41:32 uploaded by xiongge ] [ 618 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[99] Extremum problems for the cone volume functional of convex polytopes

Xiong Ge Tongji University

Convex and Discrete Geometry mathscidoc:1702.40002

Advances in Mathematics, 225, (6), 3214–3228, 2010.12
[ Download ] [ 2017-02-28 12:35:36 uploaded by xiongge ] [ 586 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[100] The logarithmic Minkowski problem

Károly J. Böröczky Alfréd Rényi Institute of Mathematics Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03082

Journal of the American Mathematical Society, 26, (3), 831–852, 2013
[ Download ] [ 2017-02-28 04:45:36 uploaded by deaneyang ] [ 768 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[101] Affine images of isotropic measures

Károly J. Böröczky Hungarian Academy of Sciences Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Convex and Discrete Geometry mathscidoc:1702.40001

Journal of Differential Geometry, 99, (3), 407-442, 2015
[ Download ] [ 2017-02-28 03:47:01 uploaded by deaneyang ] [ 601 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[102] Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

Yong Huang Hunan university Erwin Lutwak New York University Deane Yang New York University Gaoyong Zhang New York University

Analysis of PDEs Differential Geometry Convex and Discrete Geometry mathscidoc:1702.03003

Silver Award Paper in 2017

Acta Mathematica, 216, (2), 325–388, 2016.11
[ Download ] [ 2017-02-05 23:02:26 uploaded by YHuang ] [ 1414 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[103] Extremal functions for real convex bodies

Daniel M. Burns Department of Mathematics, University of Michigan Norman Levenberg Department of Mathematics, Indiana University Sione Ma‘u Department of Mathematics, University of Auckland

Convex and Discrete Geometry mathscidoc:1701.40001

Arkiv for Matematik, 53, (2), 203-236, 2013.12
[ Download ] [ 2017-01-08 20:36:40 uploaded by arkivadmin ] [ 437 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[104] Some combinatorial properties of flag simplicial pseudomanifolds and spheres

Christos A. Athanasiadis Department of Mathematics, University of Athens

Combinatorics Convex and Discrete Geometry mathscidoc:1701.06002

Arkiv for Matematik, 49, (1), 17-29, 2009.4
[ Download ] [ 2017-01-08 20:36:28 uploaded by arkivadmin ] [ 657 downloads ] [ 0 comments ] [ Cited by 10 ] [ Abstract ] [ Full ]
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[105] The Unified Discrete Surface Ricci flow

Min Zhang Stony Brook University Ren Guo Oregon State Univeristy Wei Zeng School of Computing and Information Sciences, Florida International University Feng Luo Rutgers University Shing Tung Yau Harvard University Xianfeng Gu Stony Brook Univerisity

Computational Geometry Differential Geometry Geometric Modeling and Processing Convex and Discrete Geometry mathscidoc:1612.01001

Distinguished Paper Award in 2017

Graphical Models/Geometric Modeling and Processing 2014, 76, (5), 321-339, 2014.9
[ Download ] [ 2016-12-02 01:19:10 uploaded by jacqueline ] [ 3311 downloads ] [ 1 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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