# zbMATH — the first resource for mathematics

## Xu, Fan

Compute Distance To:
 Author ID: xu.fan Published as: Xu, F.; Xu, Fan
 Documents Indexed: 37 Publications since 2008
all top 5

#### Co-Authors

 2 single-authored 12 Ding, Ming 9 Chen, Xueqing 8 Xiao, Jie 4 Bai, Liqian 2 Sheng, Jie 2 Zhang, Haicheng 1 Zhao, Minghui
all top 5

#### Serials

 6 Algebras and Representation Theory 3 Algebra Colloquium 2 Journal of Algebra 2 Acta Mathematica Sinica. English Series 2 Science China. Mathematics 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Frontiers of Mathematics in China 1 Kyoto Journal of Mathematics
all top 5

#### Fields

 24 Associative rings and algebras (16-XX) 11 Nonassociative rings and algebras (17-XX) 11 Category theory; homological algebra (18-XX) 10 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 1 Combinatorics (05-XX)

#### Citations contained in zbMATH

22 Publications have been cited 113 times in 78 Documents Cited by Year
Hall algebras associated to triangulated categories. Zbl 1168.18006
Xiao, Jie; Xu, Fan
2008
Integral bases of cluster algebras and representations of tame quivers. Zbl 1327.16006
Ding, Ming; Xiao, Jie; Xu, Fan
2013
Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions. Zbl 1176.93033
Xu, F.; Yu, Pei
2010
Bases of the quantum cluster algebra of the Kronecker quiver. Zbl 1268.16018
Ding, Ming; Xu, Fan
2012
Green’s formula with $$\mathbb{C}^*$$-action and Caldero-Keller’s formula for cluster algebras. Zbl 1235.16016
Xiao, Jie; Xu, Fan
2010
Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system. Zbl 1197.37037
Liao, Xiaoxin; Xu, F.; Wang, Pan; Yu, Pei
2009
A quantum analogue of generic bases for affine cluster algebras. Zbl 1271.16017
Ding, Ming; Xu, Fan
2012
Derived Hall algebras and lattice algebras. Zbl 1250.18013
Sheng, Jie; Xu, Fan
2012
Realizing enveloping algebras via varieties of modules. Zbl 1188.17009
Ding, Ming; Xiao, Jie; Xu, Fan
2010
On the cluster multiplication theorem for acyclic cluster algebras. Zbl 1200.16021
Xu, Fan
2010
Remarks on Hall algebras of triangulated categories. Zbl 1331.18017
Xiao, Jie; Xu, Fan
2015
Multidimensional discontinuous SPH method and its application to metal penetration analysis. Zbl 1352.74121
Xu, F.; Zhao, Y.; Yan, R.; Furukawa, T.
2013
Hall algebras of odd periodic triangulated categories. Zbl 1275.16018
Xu, Fan; Chen, Xueqing
2013
On the wrinkling and restabilization of highly stretched sheets. Zbl 1425.74309
Wang, T.; Fu, C.; Xu, F.; Huo, Y.; Potier-Ferry, M.
2019
A quantum analog of generalized cluster algebras. Zbl 1408.16008
Bai, Liqian; Chen, Xueqing; Ding, Ming; Xu, Fan
2018
On two Hall algebra approaches to odd periodic triangulated categories. Zbl 1390.18027
Sheng, Jie; Chen, Xueqing; Xu, Fan
2018
On homomorphisms from Ringel-Hall algebras to quantum cluster algebras. Zbl 1339.16013
Chen, Xueqing; Ding, Ming; Xu, Fan
2016
Some remarks on triangulated categories and Kac-Moody algebras. Zbl 1355.17027
Xu, Fan; Chen, Xueqing
2013
A $$\mathbb Z$$-basis for the cluster algebra of type $$\tilde D_4$$. Zbl 1288.14035
Ding, Ming; Xu, Fan
2012
Cluster characters for cyclic quivers. Zbl 1266.16010
Ding, Ming; Xu, Fan
2012
Green’s formula in Hall algebras and cluster algebras. Zbl 1214.16014
Xiao, Jie; Xu, Fan
2010
A multiplication formula for module subcategories of Ext-symmetry. Zbl 1200.16020
Xiao, Jie; Xu, Fan
2009
On the wrinkling and restabilization of highly stretched sheets. Zbl 1425.74309
Wang, T.; Fu, C.; Xu, F.; Huo, Y.; Potier-Ferry, M.
2019
A quantum analog of generalized cluster algebras. Zbl 1408.16008
Bai, Liqian; Chen, Xueqing; Ding, Ming; Xu, Fan
2018
On two Hall algebra approaches to odd periodic triangulated categories. Zbl 1390.18027
Sheng, Jie; Chen, Xueqing; Xu, Fan
2018
On homomorphisms from Ringel-Hall algebras to quantum cluster algebras. Zbl 1339.16013
Chen, Xueqing; Ding, Ming; Xu, Fan
2016
Remarks on Hall algebras of triangulated categories. Zbl 1331.18017
Xiao, Jie; Xu, Fan
2015
Integral bases of cluster algebras and representations of tame quivers. Zbl 1327.16006
Ding, Ming; Xiao, Jie; Xu, Fan
2013
Multidimensional discontinuous SPH method and its application to metal penetration analysis. Zbl 1352.74121
Xu, F.; Zhao, Y.; Yan, R.; Furukawa, T.
2013
Hall algebras of odd periodic triangulated categories. Zbl 1275.16018
Xu, Fan; Chen, Xueqing
2013
Some remarks on triangulated categories and Kac-Moody algebras. Zbl 1355.17027
Xu, Fan; Chen, Xueqing
2013
Bases of the quantum cluster algebra of the Kronecker quiver. Zbl 1268.16018
Ding, Ming; Xu, Fan
2012
A quantum analogue of generic bases for affine cluster algebras. Zbl 1271.16017
Ding, Ming; Xu, Fan
2012
Derived Hall algebras and lattice algebras. Zbl 1250.18013
Sheng, Jie; Xu, Fan
2012
A $$\mathbb Z$$-basis for the cluster algebra of type $$\tilde D_4$$. Zbl 1288.14035
Ding, Ming; Xu, Fan
2012
Cluster characters for cyclic quivers. Zbl 1266.16010
Ding, Ming; Xu, Fan
2012
Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions. Zbl 1176.93033
Xu, F.; Yu, Pei
2010
Green’s formula with $$\mathbb{C}^*$$-action and Caldero-Keller’s formula for cluster algebras. Zbl 1235.16016
Xiao, Jie; Xu, Fan
2010
Realizing enveloping algebras via varieties of modules. Zbl 1188.17009
Ding, Ming; Xiao, Jie; Xu, Fan
2010
On the cluster multiplication theorem for acyclic cluster algebras. Zbl 1200.16021
Xu, Fan
2010
Green’s formula in Hall algebras and cluster algebras. Zbl 1214.16014
Xiao, Jie; Xu, Fan
2010
Chaos control and synchronization for a special generalized Lorenz canonical system - the SM system. Zbl 1197.37037
Liao, Xiaoxin; Xu, F.; Wang, Pan; Yu, Pei
2009
A multiplication formula for module subcategories of Ext-symmetry. Zbl 1200.16020
Xiao, Jie; Xu, Fan
2009
Hall algebras associated to triangulated categories. Zbl 1168.18006
Xiao, Jie; Xu, Fan
2008
all top 5

#### Cited by 114 Authors

 18 Xu, Fan 12 Ding, Ming 9 Zhang, Haicheng 8 Chen, Xueqing 5 Sheng, Jie 4 Xiao, Jie 3 Rupel, Dylan C. 2 Alombah, N. Henry 2 Baek, Jaeho 2 Chen, Qinghua 2 Chen, Zhengxin 2 Dupont, Grégoire 2 Fotsin, Hilaire Bertrand 2 Lin, Ji 2 Lin, Zongzhu 2 Peng, Liangang 1 Acharya, Anish 1 Ai, Xingxing 1 Ali, Ahmed Mohammed 1 Avesani, Diego 1 Bai, Liqian 1 Bellin, Alberto 1 Bobiński, Grzegorz 1 Boukabou, Abdelkrim 1 Bridgeland, Tom 1 Buan, Aslak Bakke 1 Burban, Igor 1 Cerulli Irelli, Giovanni 1 Chen, Jinjing 1 Chen, Rong 1 Cooper, Benjamin 1 Cramer, Tim 1 Dabiri, Y. 1 Das, Saptarshi 1 Deng, Bangming 1 Ding, Rui 1 Dumbser, Michael 1 Er, Meng Joo 1 Esposito, Francesco 1 Fei, Jiarui 1 Felikson, Anna Aleksandrovna 1 Feng, De-Long 1 Franzen, Hans 1 Fu, Changjian 1 Fu, Chenbo 1 Gao, Bo 1 Geng, Shengfei 1 Guccione, Julius M. 1 Hadef, Souhila 1 He, Shaobo 1 He, Zhe 1 Hu, Jun 1 Jiang, Xiling 1 Kim, Seungwoo 1 Kocamaz, Uğur Erkin 1 Lai, Yongzeng 1 Lee, Heejin 1 Lee, Kyungyong 1 Li, Li 1 Li, Shuzhe 1 Li, Ya 1 Li, Yiqiang 1 Liao, Qiang 1 Lin, Jui-Sheng 1 Lin, Yanan 1 Liu, Lingling 1 Liu, Mingbin 1 Liu, Yongjian 1 Ma, Tengfei 1 Ma, Yingjie 1 Marsh, Robert James 1 Megam Ngouonkadi, E. B. 1 Nakajima, Hiraku 1 Nguazon, Tekou 1 Obul, Abdukadir 1 Pan, Indranil 1 Pan, Yongping 1 Pang, Guoping 1 Park, Mignon 1 Qin, Fan 1 Ramadhan, Saif M. 1 Reineke, Markus 1 Romanic, Kengne 1 Ruan, ShiQuan 1 Samuelson, Peter 1 Schiffmann, Olivier G. 1 Schmude, Janusz 1 Shirani, Milad 1 Shu, Xiaobao 1 Steigmann, David J. 1 Sun, Kehui 1 Sun, Tairen 1 Tahir, Fadhil Rahma 1 Tang, Wansheng 1 Taylor, Mark J. 1 Tumarkin, Pavel 1 Uyaroğlu, Yılmaz 1 Vaidyanathan, Sundarapandian 1 Wang, Hong 1 Wang, Huihai ...and 14 more Authors
all top 5

#### Cited in 37 Serials

 14 Journal of Algebra 5 Science China. Mathematics 4 Communications in Algebra 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Algebras and Representation Theory 3 Advances in Mathematics 3 Transactions of the American Mathematical Society 3 Frontiers of Mathematics in China 2 International Journal of Engineering Science 2 Journal of the Franklin Institute 2 Physics Letters. A 2 Chaos, Solitons and Fractals 2 Czechoslovak Mathematical Journal 2 Algebra Colloquium 2 Acta Mathematica Sinica. English Series 2 Kyoto Journal of Mathematics 1 Journal of Computational Physics 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Applied Mathematical Modelling 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Algebraic Combinatorics 1 Engineering Analysis with Boundary Elements 1 Nonlinear Dynamics 1 Chaos 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 Symmetry 1 Algebraic Combinatorics
all top 5

#### Cited in 20 Fields

 49 Associative rings and algebras (16-XX) 26 Nonassociative rings and algebras (17-XX) 21 Commutative algebra (13-XX) 17 Category theory; homological algebra (18-XX) 15 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Systems theory; control (93-XX) 6 Algebraic geometry (14-XX) 4 Information and communication theory, circuits (94-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)