Convex and Discrete Geometry

[1] 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 ] [ 3772 downloads ] [ 1 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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[2] 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 ] [ 2138 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] 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
[ Download ] [ 2017-03-04 09:11:58 uploaded by liaijun ] [ 1992 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] 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
[ Download ] [ 2019-05-04 22:18:06 uploaded by ranier ] [ 1934 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] 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 ] [ 1629 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] 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
[ Download ] [ 2021-12-26 21:01:01 uploaded by xidongmeng ] [ 1592 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] 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

[ Download ] [ 2017-03-22 01:24:20 uploaded by zhubaocheng ] [ 1547 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] 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 ] [ 1484 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[9] 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 ] [ 1470 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] 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 ] [ 1454 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[11] 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
[ Download ] [ 2021-12-03 14:10:00 uploaded by xiongge ] [ 1449 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[12] 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
[ Download ] [ 2021-12-26 21:07:47 uploaded by xidongmeng ] [ 1394 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] 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
[ Download ] [ 2021-12-26 21:15:48 uploaded by xidongmeng ] [ 1327 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[14] 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
[ Download ] [ 2017-05-30 12:49:51 uploaded by yauawardadmin ] [ 1323 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] 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
[ Download ] [ 2017-03-04 09:17:10 uploaded by liaijun ] [ 1319 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] 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
[ Download ] [ 2017-03-10 21:14:18 uploaded by xidongmeng ] [ 1184 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] 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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[18] 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 ] [ 1150 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] 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 ] [ 1149 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] 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
[ Download ] [ 2017-03-10 21:04:36 uploaded by xidongmeng ] [ 1120 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] 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

[ Download ] [ 2017-03-22 01:00:24 uploaded by zhubaocheng ] [ 1081 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] 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 ] [ 1038 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] 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 ] [ 1019 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] 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 ] [ 1011 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] 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 ] [ 1000 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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