# zbMATH — the first resource for mathematics

## Xu, Hao

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 Author ID: xu.hao Published as: Xu, Hao; Xu, H.
 Documents Indexed: 75 Publications since 2003, including 1 Book Reviewing Activity: 19 Reviews
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#### Co-Authors

 7 single-authored 13 Liu, Kefeng 5 Yau, Shing-Tung 4 Yung, Man-Hong 3 Chang, Xiao 3 Wu, Zhigang 3 Yu, Haibo 2 Cheng, Shiu-Yuen 2 Engliš, Miroslav 2 Ji, Lizhen 2 Li, Congming 2 Lu, Kaiwen 2 Sarangapani, Jagannathan 2 Xu, Changliang 2 Yang, Zhong 2 Zhang, Qiuyan 1 Arson, Chloé 1 Au, Thomas Kwok-Keung 1 Calvetti, Daniela 1 Chang, Le 1 Chen, Chen 1 Chen, Yiyang 1 Ding, Ruo 1 Güzey, Haci Mehmet 1 Hu, Sen 1 Hu, Yanli 1 Huang, Chuanfeng 1 Jagannathan, Sarangapani 1 Jia, Limin 1 Jiang, Chengzhi 1 Kang, Baoyuan 1 Liang, Le 1 Liu, Bowen 1 Liu, Chenkai 1 Liu, Fuxian 1 Liu, Yanjie 1 Loo, Boon Thau 1 Louge, M. 1 Luo, Cheng 1 Ma, Jianwei 1 Mulase, Motohico 1 Niu, Yaoming 1 Niu, Yongzheng 1 Park, Seyoung 1 Reeves, Anthony P. 1 Reichel, Lothar 1 Sahoo, Avimanyu 1 Sun, Huafei 1 Sun, Yuan 1 Tan, Yibo 1 Tang, Xiaoxian 1 Vakil, Ravi 1 Wang, Guoyu 1 Wang, Yixiu 1 Wang, Yousen 1 Wang, Zhenwen 1 Xia, Yuanqing 1 Xiao, Weidong 1 Xu, Hongwei 1 Xu, Zhenming 1 Xu, Zhiwei 1 Xue, Ying 1 Yang, Hongjiu 1 Yang, Peng 1 Yang, Ran 1 Yang, Xiao-Kui 1 Yin, Jinyan 1 Yue, Dequan 1 Zhang, Jianwen 1 Zhang, Jinhui 1 Zhang, Kai 1 Zhang, Mingliang 1 Zhao, Hongyu 1 Zhao, Liu 1 Zhao, Qiming 1 Zhou, Wenchao 1 Zhu, Mingxuan 1 Zou, Ruoqi
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#### Serials

 4 Physics Letters. B 3 Mathematical Problems in Engineering 3 Pure and Applied Mathematics Quarterly 2 Letters in Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 Optimal Control Applications & Methods 2 Mathematics in Practice and Theory 2 Proceedings of the National Academy of Sciences of the United States of America 2 ICCM Notices 1 Applicable Analysis 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Journal of the American Statistical Association 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Journal of Graph Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Annals of Global Analysis and Geometry 1 Journal of Systems Science and Mathematical Sciences 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 International Journal of Adaptive Control and Signal Processing 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 International Journal of Robust and Nonlinear Control 1 Continuum Mechanics and Thermodynamics 1 International Journal of Modern Physics D 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Journal of High Energy Physics 1 Basic Sciences Journal of Textile Universities 1 Nonlinear Dynamics and Systems Theory 1 Entropy 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Computational Methods 1 Computational Management Science 1 Mathematical Biosciences and Engineering 1 Periodical of Ocean University of China 1 Logical Methods in Computer Science 1 Journal of Statistical Theory and Practice 1 Acta Scientiarum Naturalium Universitatis Nankaiensis 1 Journal of Combinatorics 1 Operations Research Transactions
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#### Fields

 12 Algebraic geometry (14-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Operations research, mathematical programming (90-XX) 8 Partial differential equations (35-XX) 8 Differential geometry (53-XX) 8 Systems theory; control (93-XX) 6 Combinatorics (05-XX) 6 Probability theory and stochastic processes (60-XX) 6 Fluid mechanics (76-XX) 5 Relativity and gravitational theory (83-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 197 times in 84 Documents Cited by Year
A closed formula for the asymptotic expansion of the Bergman kernel. Zbl 1257.32003
Xu, Hao
2012
A proof of the Faber intersection number conjecture. Zbl 1206.14079
Liu, Kefeng; Xu, Hao
2009
Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059
Liu, Kefeng; Xu, Hao
2009
An explicit formula for the Berezin star product. Zbl 1259.53081
Xu, Hao
2012
Spanning trees and random walks on weighted graphs. Zbl 1307.05207
Chang, Xiao; Xu, Hao; Yau, Shing-Tung
2015
Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity. Zbl 1390.83227
Sun, Yuan; Xu, Hao; Zhao, Liu
2016
Solutions of the kinetic theory for bounded collisional granular flows. Zbl 1068.76562
Xu, H.; Louge, M.; Reeves, A.
2003
Discrete Green’s functions and random walks on graphs. Zbl 1256.05225
Xu, Hao; Yau, Shing-Tung
2013
Chung-Yau invariants and graphs with symmetric hitting times. Zbl 1367.05198
Chang, Xiao; Xu, Hao
2017
Maxwell’s equal area law for Lovelock thermodynamics. Zbl 1358.83077
Xu, Hao; Xu, Zhen-Ming
2017
Maximum principles and Bôcher type theorems. Zbl 1440.35343
Li, Congming; Wu, Zhigang; Xu, Hao
2018
New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043
Liu, Kefeng; Xu, Hao
2007
On a graph theoretic formula of Gammelgaard for Berezin-Toeplitz quantization. Zbl 1267.53098
Xu, Hao
2013
An explicit formula of hitting times for random walks on graphs. Zbl 1306.05228
Xu, Hao; Yau, Shing-Tung
2014
Global regularity to the Cauchy problem of the 3D heat conducting incompressible Navier-Stokes equations. Zbl 1392.35214
Xu, Hao; Yu, Haibo
2018
Formal pseudodifferential operators and Witten’s $$r$$-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
2017
Optimal control of uncertain quantized linear discrete-time systems. Zbl 1330.93150
Zhao, Q.; Xu, H.; Jagannathan, S.
2015
Symmetry properties in systems of fractional Laplacian equations. Zbl 1407.35221
Wu, Zhigang; Xu, Hao
2019
A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062
Liu, Kefeng; Xu, Hao
2014
Finite-horizon near optimal adaptive control of uncertain linear discrete-time systems. Zbl 1333.93149
Zhao, Qiming; Xu, Hao; Sarangapani, Jagannathan
2015
Neural network-based finite horizon optimal adaptive consensus control of mobile robot formations. Zbl 1348.93009
Guzey, H. M.; Xu, Hao; Sarangapani, Jagannathan
2016
Mirzakhani’s recursion formula is equivalent to the Witten-Kontsevich theorem. (Mirzakharni’s recursion formula is equivalent to the Witten-Kontsevich theorem.) Zbl 1194.14040
Liu, Kefeng; Xu, Hao
2009
Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids. Zbl 1407.35168
Xu, Hao; Yu, Haibo
2019
Anisotropic damage models for geomaterials: theoretical and numerical challenges. Zbl 1359.74366
Xu, Hao; Arson, Chloé
2014
Random walks on complete multipartite graphs. Zbl 1365.05266
Chang, Xiao; Xu, Hao
2015
New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056
Liu, Kefeng; Xu, Hao
2007
Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034
Liu, Kefeng; Xu, Hao
2011
The $$n$$-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034
Liu, Kefeng; Xu, Hao
2011
Bergman kernel and Kähler tensor calculus. Zbl 1292.32002
Xu, Hao
2013
A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044
Calvetti, D.; Reichel, L.; Xu, H.
2015
Intersection numbers and automorphisms of stable curves. Zbl 1223.14029
Liu, Kefeng; Xu, Hao
2009
Computing top intersections in the tautological ring of $${\mathcal{M}_g}$$. Zbl 1276.14041
Liu, Kefeng; Xu, Hao
2012
Weyl invariant polynomial and deformation quantization on Kähler manifolds. Zbl 1285.53082
Xu, Hao
2014
Penalized sample average approximation methods for stochastic programs in economic and secure dispatch of a power system. Zbl 1397.90246
Tong, X. J.; Xu, H.; Wu, F. F.; Zhao, Z.
2016
Multiobjective trajectory optimization and adaptive backstepping control for rubber unstacking robot based on RFWNN method. Zbl 1427.93166
Liang, Le; Liu, Yanjie; Xu, Hao
2018
On delegatability of some strong designated verifier signature schemes. Zbl 1407.94173
Kang, Baoyuan; Xu, Hao; Niu, Yongzheng
2014
On the thermodynamic phase structure of conformal gravity. Zbl 1411.83099
Xu, Hao; Yung, Man-Hong
2018
Non-negative solutions to fractional Laplace equations with isolated singularity. Zbl 1447.35083
Li, Congming; Liu, Chenkai; Wu, Zhigang; Xu, Hao
2020
Non-negative solutions to fractional Laplace equations with isolated singularity. Zbl 1447.35083
Li, Congming; Liu, Chenkai; Wu, Zhigang; Xu, Hao
2020
Symmetry properties in systems of fractional Laplacian equations. Zbl 1407.35221
Wu, Zhigang; Xu, Hao
2019
Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids. Zbl 1407.35168
Xu, Hao; Yu, Haibo
2019
Maximum principles and Bôcher type theorems. Zbl 1440.35343
Li, Congming; Wu, Zhigang; Xu, Hao
2018
Global regularity to the Cauchy problem of the 3D heat conducting incompressible Navier-Stokes equations. Zbl 1392.35214
Xu, Hao; Yu, Haibo
2018
Multiobjective trajectory optimization and adaptive backstepping control for rubber unstacking robot based on RFWNN method. Zbl 1427.93166
Liang, Le; Liu, Yanjie; Xu, Hao
2018
On the thermodynamic phase structure of conformal gravity. Zbl 1411.83099
Xu, Hao; Yung, Man-Hong
2018
Chung-Yau invariants and graphs with symmetric hitting times. Zbl 1367.05198
Chang, Xiao; Xu, Hao
2017
Maxwell’s equal area law for Lovelock thermodynamics. Zbl 1358.83077
Xu, Hao; Xu, Zhen-Ming
2017
Formal pseudodifferential operators and Witten’s $$r$$-spin numbers. Zbl 1454.14076
Liu, Kefeng; Vakil, Ravi; Xu, Hao
2017
Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity. Zbl 1390.83227
Sun, Yuan; Xu, Hao; Zhao, Liu
2016
Neural network-based finite horizon optimal adaptive consensus control of mobile robot formations. Zbl 1348.93009
Guzey, H. M.; Xu, Hao; Sarangapani, Jagannathan
2016
Penalized sample average approximation methods for stochastic programs in economic and secure dispatch of a power system. Zbl 1397.90246
Tong, X. J.; Xu, H.; Wu, F. F.; Zhao, Z.
2016
Spanning trees and random walks on weighted graphs. Zbl 1307.05207
Chang, Xiao; Xu, Hao; Yau, Shing-Tung
2015
Optimal control of uncertain quantized linear discrete-time systems. Zbl 1330.93150
Zhao, Q.; Xu, H.; Jagannathan, S.
2015
Finite-horizon near optimal adaptive control of uncertain linear discrete-time systems. Zbl 1333.93149
Zhao, Qiming; Xu, Hao; Sarangapani, Jagannathan
2015
Random walks on complete multipartite graphs. Zbl 1365.05266
Chang, Xiao; Xu, Hao
2015
A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044
Calvetti, D.; Reichel, L.; Xu, H.
2015
An explicit formula of hitting times for random walks on graphs. Zbl 1306.05228
Xu, Hao; Yau, Shing-Tung
2014
A remark on Mirzakhani’s asymptotic formulae. Zbl 1304.30062
Liu, Kefeng; Xu, Hao
2014
Anisotropic damage models for geomaterials: theoretical and numerical challenges. Zbl 1359.74366
Xu, Hao; Arson, Chloé
2014
Weyl invariant polynomial and deformation quantization on Kähler manifolds. Zbl 1285.53082
Xu, Hao
2014
On delegatability of some strong designated verifier signature schemes. Zbl 1407.94173
Kang, Baoyuan; Xu, Hao; Niu, Yongzheng
2014
Discrete Green’s functions and random walks on graphs. Zbl 1256.05225
Xu, Hao; Yau, Shing-Tung
2013
On a graph theoretic formula of Gammelgaard for Berezin-Toeplitz quantization. Zbl 1267.53098
Xu, Hao
2013
Bergman kernel and Kähler tensor calculus. Zbl 1292.32002
Xu, Hao
2013
A closed formula for the asymptotic expansion of the Bergman kernel. Zbl 1257.32003
Xu, Hao
2012
An explicit formula for the Berezin star product. Zbl 1259.53081
Xu, Hao
2012
Computing top intersections in the tautological ring of $${\mathcal{M}_g}$$. Zbl 1276.14041
Liu, Kefeng; Xu, Hao
2012
Descendent integrals and tautological rings of moduli spaces of curves. Zbl 1258.14034
Liu, Kefeng; Xu, Hao
2011
The $$n$$-point functions for intersection numbers on moduli spaces of curves. Zbl 1263.14034
Liu, Kefeng; Xu, Hao
2011
A proof of the Faber intersection number conjecture. Zbl 1206.14079
Liu, Kefeng; Xu, Hao
2009
Recursion formulae of higher Weil-Petersson volumes. Zbl 1186.14059
Liu, Kefeng; Xu, Hao
2009
Mirzakhani’s recursion formula is equivalent to the Witten-Kontsevich theorem. (Mirzakharni’s recursion formula is equivalent to the Witten-Kontsevich theorem.) Zbl 1194.14040
Liu, Kefeng; Xu, Hao
2009
Intersection numbers and automorphisms of stable curves. Zbl 1223.14029
Liu, Kefeng; Xu, Hao
2009
New properties of the intersection numbers on moduli spaces of curves. Zbl 1184.14043
Liu, Kefeng; Xu, Hao
2007
New results of intersection numbers on moduli spaces of curves. Zbl 1190.14056
Liu, Kefeng; Xu, Hao
2007
Solutions of the kinetic theory for bounded collisional granular flows. Zbl 1068.76562
Xu, H.; Louge, M.; Reeves, A.
2003
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#### Cited by 109 Authors

 10 Xu, Hao 7 Li, Shuchao 5 Feng, Zhiming 5 Loi, Andrea 4 Liu, Kefeng 3 Brézin, Edouard 3 Engliš, Miroslav 3 Hikami, Shinobu 3 Jørgensen, Palle E. T. 3 Karabegov, Alexander V. 3 Liu, Xiaobo 3 Mulase, Motohico 3 Shadrin, Sergey V. 3 Tian, Feng 3 Tu, Zhenhan 3 Yang, Di 3 Zograf, Peter 3 Zuddas, Fabio 2 Buryak, Alexandr Y. 2 Dai, Meifeng 2 Dubrovin, Boris Anatol’evich 2 Guo, Ziliang 2 Huang, Jing 2 Ioos, Louis 2 Liu, Siqi 2 Lu, Zhiqin 2 Ma, Xiaonan 2 Salis, Filippo 2 Shiffman, Bernard 2 Su, Weiyi 2 Vakil, Ravi 2 Wang, Shujing 2 Zhang, Youjin 2 Zhu, Shengmao 1 Alexakis, Spyros 1 Ali, Syed Twareque 1 Arezzo, Claudio 1 Bennett, Julia 1 Bertola, Marco 1 Beveridge, Andrew 1 Bi, Enchao 1 Cafasso, Mattia 1 Camosso, Simone 1 Cannas Aghedu, Francesco 1 Chang, Xiao 1 Charles, Laurent 1 Chen, Haiyan 1 Chen, Yingying 1 Clader, Emily 1 Cutkosky, Steven Dale 1 Delecroix, Vincent 1 Ding, Xiangmao 1 Dumitrescu, Olivia 1 Eynard, Bertrand 1 Garcia-Failde, Elba 1 Goujard, Elise 1 Goulden, Ian P. 1 Haimi, Antti 1 Hedenmalm, Håkan 1 Hernández Serrano, Daniel 1 Herzog, Jürgen 1 Hezari, Hamid 1 Hirachi, Kengo 1 Jackson, David M. 1 Janssen, Oliver 1 Ju, Tingting 1 Kelleher, Casey Lynn 1 Kimura, Takashi 1 Kramer, Reinier 1 Lewanski, Danilo 1 Li, Yin 1 Li, Yuping 1 Liu, Chiung-Ju 1 Lu, Wen 1 Marinescu, George 1 Mei, Xiaoling 1 Meng, Lingxian 1 Mirbabayi, Mehrdad 1 Mirzakhani, Maryam 1 Orantin, Nicolas 1 Pandharipande, Rahul 1 Penkava, Michael 1 Plaza Martín, Francisco José 1 Safnuk, Brad 1 Schlichenmaier, Martin 1 Seto, Shoo 1 Srinivasan, Hema 1 Sun, Yu 1 Tang, Hualong 1 Tien Cuong Dinh 1 Nguyên Viêt Anh 1 Wang, Chengyong 1 Wang, Xiaoqian 1 Woskoff, Kaitlin 1 Wu, Bo 1 Wu, Chaozhong 1 Wu, Yunhui 1 Xie, Zheng 1 Xu, Hang 1 Yau, Shing-Tung ...and 9 more Authors
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#### Cited in 42 Serials

 6 Letters in Mathematical Physics 5 Journal of Geometry and Physics 5 Annals of Global Analysis and Geometry 4 Communications in Mathematical Physics 4 Discrete Mathematics 4 Linear and Multilinear Algebra 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 The Journal of Geometric Analysis 3 Journal of High Energy Physics 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 Fractals 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Science China. Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Journal of Graph Theory 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Physica D 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Geometric and Functional Analysis. GAFA 1 Journal of Algebraic Geometry 1 Combinatorics, Probability and Computing 1 Opuscula Mathematica 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Analysis and Mathematical Physics
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#### Cited in 26 Fields

 26 Several complex variables and analytic spaces (32-XX) 26 Differential geometry (53-XX) 25 Algebraic geometry (14-XX) 20 Combinatorics (05-XX) 12 Quantum theory (81-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)