Convex and Discrete Geometry

[1] 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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[2] 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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[3] 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

SIAM Journal on Imaging Sciences, 8, (4), 2239-2267, 2015
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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] Dar's conjecture and the log-Brunn-Minkowski inequality

Dongmeng Xi Shanghai University Gangsong Leng Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40037

Journal of Differential Geometry, 103, 145-189, 2016
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[10] 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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[11] 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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[12] 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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[13] 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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[14] 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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[15] 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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[16] 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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[17] 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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[18] 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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[19] Gaussian inequalities for Wulff shapes

Qingzhong Huang Shanghai University Binwu He Shanghai University

Convex and Discrete Geometry mathscidoc:1703.40027

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[20] 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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[21] 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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[22] 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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[23] 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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[24] 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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[25] 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
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[26] On Bonnesen-type inequalities for a surface of constant curvature

Wenxue Xu Southwest Univer > 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
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[27] The Lp Minkowski problem for polytopes for p < 0

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40019

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[28] On the discrete logarithmic Minkowski problem

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40018

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[29] The orlicz centroid inequality for star bodies

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40017

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[30] 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
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[31] 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
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[32] 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
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[33] 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
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[34] The logarithmic Minkowski problem for polytopes

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40013

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[35] The Lp Minkowski problem for polytopes

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40012

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[36] The centro-affine Minkowski problem for polytopes

Guangxian Zhu

Convex and Discrete Geometry mathscidoc:1703.40011

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[37] 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
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[38] 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
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[39] 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
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[40] A volume inequality for polar bodies

Erwin Lutwak Deane Yang Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40007

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[41] Volume inequalities for subspaces of L_p

Erwin Lutwak Deane Yang Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40006

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[42] Sharp affine L_p Sobolev inequalities

Erwin Lutwak Deane Yang Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40005

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[43] The affine Sobolev inequality

Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40004

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[44] Blaschke-Santalo inequalities

Erwin Lutwak Gaoyong Zhang

Convex and Discrete Geometry mathscidoc:1703.40003

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[45] 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

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[46] 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 ] [ 47 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[47] 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
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[48] 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
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[49] 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
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[50] 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
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[51] 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
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[52] 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
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[53] 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
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[54] 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
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[55] 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
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[56] 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
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[57] 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

Acta Mathematica, 216, (2), 325–388, 2016.11
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[58] 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
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[59] 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
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[60] 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

Graphical Models/Geometric Modeling and Processing 2014, 76, (5), 321-339, 2014.9
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