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Wang, Zhenghan

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Author ID: wang.zhenghan Recent zbMATH articles by "Wang, Zhenghan"
Published as: Wang, Zhenghan; Wang, Z. H.; Wang, Z.; Wang, Zh.; Wang, Z.-H.
Homepage: http://www.math.ucsb.edu/~zhenghwa/
External Links: MGP
Documents Indexed: 128 Publications since 1986, including 3 Books
Reviewing Activity: 9 Reviews
all top 5

Co-Authors

10 single-authored
18 Rowell, Eric C.
15 Freedman, Michael Hartley
8 Cui, Shawn Xingshan
7 Galindo Martínez, César Neyit
5 Bruillard, Paul
5 Larsen, Michael Jeffrey
5 Lin, Xiao-Song
5 Nayak, Chetan
5 Ng, Siu-Hung
5 Walker, Kevin
4 Cheng, Meng
4 Kitaev, Alexei Yu.
4 Plavnik, Julia Yael
3 Barthès-Biesel, Dominique
3 Bonderson, Parsa
3 Cong, Iris
3 Delaney, Colleen
3 Ding, Jiu
3 Salsac, Anne-Virginie
3 Sui, Yi
3 Wang, Wenquan
3 Zini, Modjtaba Shokrian
2 Bloomquist, Wade
2 Chang, Liang
2 Dai, Ho-Kwok
2 Dunn, Jon Michael
2 Hagge, Tobias J.
2 He, Zheng-Xu
2 Hong, Seung-Moon
2 Ludwig, Andreas W. W.
2 Moss, Lawrence S.
2 Qiu, Yang
2 Stong, Richard A.
2 Wen, Xiaogang
1 Ardonne, Eddy
1 Brazhnikova, L. V.
1 Brennen, Gavin K.
1 Brink, James R.
1 Bryson, Steve
1 Chumlyakov, Yuriy I.
1 Efimenko, S. P.
1 Ellinas, Demosthenes
1 Escobar-Velásquez, Nicolás
1 Feng, C.-X. J.
1 Fidkowski, Lukasz M.
1 Franko, Jennifer M.
1 Gellmann, Roman
1 Gursul, Ismet
1 Hastings, Matthew B.
1 Hu, Yuting
1 Jian, Chao-Ming
1 Jin, LeSheng
1 Jin, Wei
1 Kádár, Zoltán
1 Kendon, Viv M.
1 Kirby, Robion Cromwell
1 Kireeva, I. V.
1 Kirk, Paul A.
1 Krushkal, Vyacheslav S.
1 Livingston, Charles
1 Luo, Zhu-Xi
1 Margaris, P.
1 Martin, Paul Purdon
1 McNail, D.
1 Mesiar, Radko
1 Movassagh, Ramis
1 Naaijkens, Pieter
1 Pachos, Jiannis K.
1 Panchenko, E. Yu.
1 Pu, XingTing
1 Ricci, Joseph
1 Ricoeur, Andreas
1 Ruan, X. X.
1 Sabelli, Hector C.
1 Samperton, Eric
1 Shtengel, Kirill
1 Slingerland, Johannes K.
1 Sun, Hao-Yu
1 Surikova, N. S.
1 Tener, James E.
1 Tian, Feng
1 Tian, Kevin T.
1 Tran, Alan
1 Trebst, Simon
1 Troyer, Matthias
1 Tsohantjis, Ioannis
1 Vardaki, E.
1 Vasquez, Jennifer F.
1 Williamson, Dominic J.
1 Wong, Helen M.
1 Yager, Ronald R.
1 Young, Amanda
1 Zhang, Weiping
all top 5

Serials

13 Communications in Mathematical Physics
5 Journal of Fluid Mechanics
5 Journal of Sound and Vibration
5 Annals of Physics
4 Journal of Knot Theory and its Ramifications
4 Quantum Information Processing
3 Pacific Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Nonlinear Dynamics
3 Journal of Physics A: Mathematical and Theoretical
2 International Journal of Modern Physics B
2 International Journal of Theoretical Physics
2 Journal of Mathematical Physics
2 Journal of Algebra
2 Journal of Pure and Applied Algebra
2 IMRN. International Mathematics Research Notices
2 Mathematical Research Letters
2 Geometry & Topology
2 Communications in Nonlinear Science and Numerical Simulation
2 Communications in Contemporary Mathematics
2 Nonlinear Analysis. Real World Applications
2 Quantum Topology
1 Modern Physics Letters A
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 Chaos, Solitons and Fractals
1 Biometrika
1 Glasgow Mathematical Journal
1 Journal of Computer and System Sciences
1 Journal of Differential Geometry
1 Journal of Philosophical Logic
1 The Journal of Symbolic Logic
1 Revista Colombiana de Matemáticas
1 Topology and its Applications
1 Stochastic Analysis and Applications
1 International Journal of Production Research
1 Journal of the American Mathematical Society
1 Annals of Operations Research
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Pattern Recognition
1 Doklady Akademii Nauk
1 Journal of Mathematical Sciences. University of Tokyo
1 Mathematical Problems in Engineering
1 Algebras and Representation Theory
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 European Journal of Mechanics. B. Fluids
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA)
1 International Journal of Computational Methods
1 Iranian Journal of Fuzzy Systems
1 Pure and Applied Mathematics Quarterly
1 Progress of Theoretical Physics. Supplement
1 Geometry and Topology Monographs
1 Nankai Tracts in Mathematics
1 Acta Mechanica Sinica
1 Science China. Mathematics
1 Physical Review B
1 CBMS Regional Conference Series in Mathematics
1 Peking Mathematical Journal
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Fields

52 Quantum theory (81-XX)
35 Manifolds and cell complexes (57-XX)
23 Category theory; homological algebra (18-XX)
15 Group theory and generalizations (20-XX)
12 Statistical mechanics, structure of matter (82-XX)
12 Systems theory; control (93-XX)
10 Ordinary differential equations (34-XX)
8 Associative rings and algebras (16-XX)
8 Computer science (68-XX)
7 Differential geometry (53-XX)
7 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
5 Combinatorics (05-XX)
5 Nonassociative rings and algebras (17-XX)
5 Mechanics of particles and systems (70-XX)
4 Topological groups, Lie groups (22-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Numerical analysis (65-XX)
4 Optics, electromagnetic theory (78-XX)
3 Number theory (11-XX)
3 \(K\)-theory (19-XX)
3 Algebraic topology (55-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Probability theory and stochastic processes (60-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 911 times in 463 Documents Cited by Year
Möbius energy of knots and unknots. Zbl 0817.57011
Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
72
1994
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
63
2003
A modular functor which is universal for quantum computation. Zbl 1012.81007
Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan
55
2002
Simulation of topological field theories by quantum computers. Zbl 1014.81006
Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan
43
2002
On classification of modular tensor categories. Zbl 1186.18005
Rowell, Eric; Stong, Richard; Wang, Zhenghan
39
2009
Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034
Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan
37
2006
The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027
Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan
33
2002
Rank-finiteness for modular categories. Zbl 1344.18008
Bruillard, Paul; Ng, Siu-Hung; Rowell, Eric C.; Wang, Zhenghan
27
2016
Stability switches of time-delayed dynamic systems with unknown parameters. Zbl 1237.93159
Wang, Z. H.; Hu, H. Y.
26
2000
General solution of the Bagley-Torvik equation with fractional-order derivative. Zbl 1221.34020
Wang, Z. H.; Wang, X.
25
2010
On gauging symmetry of modular categories. Zbl 1432.18016
Cui, Shawn X.; Galindo, César; Plavnik, Julia Yael; Wang, Zhenghan
23
2016
Fermionic modular categories and the 16-fold way. Zbl 1365.81098
Bruillard, Paul; Galindo, César; Hagge, Tobias; Ng, Siu-Hung; Plavnik, Julia Yael; Rowell, Eric C.; Wang, Zhenghan
21
2017
The Gassner representation for string links. Zbl 0989.57005
Kirk, Paul; Livingston, Charles; Wang, Zhenghan
19
2001
A class of \(P,T\)-invariant topological phases of interacting electrons. Zbl 1057.81053
Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan
16
2004
Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. Zbl 1037.57024
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan
16
2002
Stability and Hopf bifurcation of a class of TCP/AQM networks. Zbl 1188.93098
Zheng, Y. G.; Wang, Z. H.
15
2010
Localization of unitary braid group representations. Zbl 1245.81023
Rowell, Eric C.; Wang, Zhenghan
14
2012
A short introduction to Fibonacci anyon models. Zbl 1173.81362
Trebst, Simon; Troyer, Matthias; Wang, Zhenghan; Ludwig, Andreas W. W.
12
2008
Singular perturbation methods for nonlinear dynamic systems with time delays. Zbl 1197.34113
Hu, H. Y.; Wang, Z. H.
12
2009
Hamiltonian models for topological phases of matter in three spatial dimensions. Zbl 1368.81143
Williamson, Dominic J.; Wang, Zhenghan
12
2017
The \(N\)-eigenvalue problem and two applications. Zbl 1109.22008
Larsen, Michael J.; Rowell, Eric C.; Wang, Zhenghan
11
2005
Density of the \(\text{SO}(3)\) TQFT representation of mapping class groups. Zbl 1114.57012
Larsen, Michael; Wang, Zhenghan
11
2005
On metaplectic modular categories and their applications. Zbl 1305.81105
Hastings, Matthew B.; Nayak, Chetan; Wang, Zhenghan
11
2014
On exotic modular tensor categories. Zbl 1160.18302
Hong, Seung-Moon; Rowell, Eric; Wang, Zhenghan
11
2008
Integral geometry of plane curves and knot invariants. Zbl 0937.53006
Lin, Xiao-Song; Wang, Zhenghan
10
1996
On the classification of weakly integral modular categories. Zbl 1332.18011
Bruillard, Paul; Galindo, César; Ng, Siu-Hung; Plavnik, Julia Y.; Rowell, Eric C.; Wang, Zhenghan
9
2016
Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis. Zbl 1146.70013
Gao, F.; Wang, H. L.; Wang, Z. H.
8
2007
Universal quantum computation with weakly integral anyons. Zbl 1327.81127
Cui, Shawn X.; Hong, Seung-Moon; Wang, Zhenghan
8
2015
Stability analysis of damped sdof systems with two time delays in state feedback. Zbl 1235.93189
Hu, H. Y.; Wang, Z. H.
8
1998
Delay-independent stability of retarded dynamic systems of multiple degrees of freedom. Zbl 1235.70002
Wang, Z. H.; Hu, H. Y.
8
1999
Quantum logic as motivated by quantum computing. Zbl 1093.03036
Dunn, J. Michael; Hagge, Tobias J.; Moss, Lawrence S.; Wang, Zhenghan
8
2005
An iteration method for calculating the periodic solution of time-delay systems after a Hopf bifurcation. Zbl 1179.34071
Wang, Z. H.
8
2008
On classification of extremal non-holomorphic conformal field theories. Zbl 1362.81086
Tener, James E.; Wang, Zhenghan
8
2017
Local representations of the loop braid group. Zbl 1430.20006
Kádár, Zoltán; Martin, Paul; Rowell, Eric; Wang, Zhenghan
8
2017
Mathematics of topological quantum computing. Zbl 1437.81005
Rowell, Eric C.; Wang, Zhenghan
8
2018
Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions. Zbl 1456.83026
Jian, Chao-Ming; Ludwig, Andreas W. W.; Luo, Zhu-Xi; Sun, Hao-Yu; Wang, Zhenghan
8
2020
Möbius invariance of knot energy. Zbl 0776.57003
Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
7
1993
Burau representation and random walks on string links. Zbl 0903.57003
Lin, Xiao-Song; Tian, Feng; Wang, Zhenghan
7
1998
A modified averaging scheme with application to the secondary Hopf bifurcation of a delayed van der Pol oscillator. Zbl 1271.70053
Wang, Z. H.; Hu, H. Y.
7
2008
Universal quantum computation with metaplectic anyons. Zbl 1308.81056
Cui, Shawn X.; Wang, Zhenghan
7
2015
A graphical test for the interval stability of fractional-delay systems. Zbl 1228.93094
Yu, Y. J.; Wang, Z. H.
7
2011
Numerical stability test of neutral delay differential equations. Zbl 1166.65356
Wang, Z. H.
7
2008
An energy analysis of the local dynamics of a delayed oscillator near a Hopf bifurcation. Zbl 1170.70362
Wang, Z. H.; Hu, H. Y.
7
2006
Local unitary representations of the braid group and their applications to quantum computing. Zbl 1362.81023
Delaney, Colleen; Rowell, Eric C.; Wang, Zhenghan
7
2016
Stabilization of vibration systems via delayed state difference feedback. Zbl 1243.93094
Wang, Z. H.; Hu, H. Y.
6
2006
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
6
2005
Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter. Zbl 1381.37091
Cong, Iris; Cheng, Meng; Wang, Zhenghan
6
2017
Classification of metaplectic modular categories. Zbl 1345.18003
Ardonne, Eddy; Cheng, Meng; Rowell, Eric C.; Wang, Zhenghan
6
2016
On Ohtsuki’s invariants of integral homology 3-spheres. Zbl 0936.57011
Lin, Xiaosong; Wang, Zhenghan
5
1999
Topologization of electron liquids with Chern-Simons theory and quantum computation. Zbl 1134.81406
Wang, Zhenghan
5
2006
Robust stabilization to non-linear delayed systems via delayed state feedback: the averaging method. Zbl 1236.93089
Wang, Z. H.; Hu, H. Y.; Wang, H. L.
5
2005
Tolological quantum computation. Zbl 1239.81005
Wang, Zhenghan
5
2010
Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water. Zbl 1383.76064
Wang, Z.
5
2016
On classification of modular categories by rank. Zbl 1404.18016
Bruillard, Paul; Ng, Siu-Hung; Rowell, Eric C.; Wang, Zhenghan
5
2016
From string nets to nonabelions. Zbl 1196.82072
Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
4
2009
Classification of symmetric polynomials of infinite variables: construction of abelian and non-abelian quantum Hall states. Zbl 1243.81246
Wen, Xiao-Gang; Wang, Zhenghan
4
2008
Parallel computation of invariant measures. Zbl 0997.65007
Ding, J.; Wang, Z.
4
2001
On invariants of modular categories beyond modular data. Zbl 1439.18021
Bonderson, Parsa; Delaney, Colleen; Galindo, César; Rowell, Eric C.; Tran, Alan; Wang, Zhenghan
4
2019
of anyonic chains. Zbl 1430.81071
Zini, Modjtaba Shokrian; Wang, Zhenghan
4
2018
Congruence subgroups and super-modular categories. Zbl 06909759
Bonderson, Parsa; Rowell, Eric C.; Wang, Zhenghan; Zhang, Qing
4
2018
Editors’ introduction: The third life of quantum logic: Quantum logic inspired by quantum computing. Zbl 1276.03047
Dunn, J. Michael; Moss, Lawrence S.; Wang, Zhenghan
3
2013
On enriching the Levin-Wen model with symmetry. Zbl 1321.82009
Chang, Liang; Cheng, Meng; Cui, Shawn X.; Hu, Yuting; Jin, Wei; Movassagh, Ramis; Naaijkens, Pieter; Wang, Zhenghan; Young, Amanda
3
2015
Solutions to generalized Yang-Baxter equations via ribbon fusion categories. Zbl 1254.81026
Kitaev, Alexei; Wang, Zhenghan
3
2012
Random walk on knot diagrams, colored Jones polynomial and Ihara-Selberg zeta function. Zbl 0992.57001
Lin, Xiao-Song; Wang, Zhenghan
3
2001
Classification of super-modular categories by rank. Zbl 1441.18019
Bruillard, Paul; Galindo, César; Ng, Siu-Hung; Plavnik, Julia Y.; Rowell, Eric C.; Wang, Zhenghan
3
2020
Integrating data mining and rough set for customer group-based discovery of product configuration rules. Zbl 1128.90437
Shao, X.-Y.; Wang, Z.-H.; Li, P.-G.; Feng, C.-X. J.
3
2006
Motion of a spherical capsule in branched tube flow with finite inertia. Zbl 1383.76569
Wang, Z.; Sui, Yi; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
3
2016
Self-homeomorphisms of 4-manifolds with fundamental group \(\mathbb{Z}\). Zbl 0974.57014
Stong, Richard; Wang, Zhenghan
2
2000
Classification of closed nonorientable 4-manifolds with infinite cyclic fundamental group. Zbl 0844.57019
Wang, Zhenghan
2
1995
Fermat limit and congruence of Ohtsuki invariants. Zbl 0959.57008
Lin, Xiao-Song; Wang, Zhenghan
2
1999
Stability and Hopf bifurcations of an optoelectronic time-delay feedback system. Zbl 1176.93037
Zheng, Y. G.; Wang, Z. H.
2
2009
Path selection of a spherical capsule in a microfluidic branched channel: towards the design of an enrichment device. Zbl 1397.76194
Wang, Z.; Sui, Y.; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
2
2018
Topological quantum computation with gapped boundaries and boundary defects. Zbl 1442.81017
Cong, Iris; Wang, Zhenghan
2
2020
On topological quantum computing with mapping class group representations. Zbl 1422.81074
Bloomquist, Wade; Wang, Zhenghan
2
2019
On generalized symmetries and structure of modular categories. Zbl 1419.18012
Cui, Shawn Xingshan; Zini, Modjtaba Shokrian; Wang, Zhenghan
2
2019
On Bott polynomials. Zbl 0847.57004
Wang, Zhenghan
1
1994
Influence of inclined electric fields on the effective fracture toughness of piezoelectric ceramics. Zbl 1323.74031
Ricoeur, A.; Gellmann, R.; Wang, Z.
1
2015
Stability analysis of nonlinear dynamic systems with slowly and periodically varying delay. Zbl 1256.93090
Zheng, Y. G.; Wang, Z. H.
1
2012
Anyonic quantum walks. Zbl 1187.82048
Brennen, Gavin K.; Ellinas, Demosthenes; Kendon, Viv; Pachos, Jiannis K.; Tsohantjis, Ioannis; Wang, Zhenghan
1
2010
Complexity classes as mathematical axioms. II. Zbl 1336.68088
Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan
1
2016
A parallel algorithm for finding all minimal maximum subsequences via random walk. Zbl 1423.68576
Dai, H. K.; Wang, Z.
1
2015
Quantum phase transition of Bose Einstein condensation in optical cavity with nonlinear interaction. Zbl 1335.81147
Zhu, H. B.; Wang, Z. H.
1
2016
Spline boundary element method for plate bending problems. Zbl 0615.73098
Wang, Y. C.; Jiang, L. Z.; Li, J.; Wang, Z. H.
1
1986
Uncertainty propagation analysis of T/R modules. Zbl 07086724
Wang, Z. H.; Jiang, C.; Ruan, X. X.; Zhang, Y. Q.; Huang, Z. L.; Wang, C. S.; Fang, T.
1
2019
Beyond anyons. Zbl 1397.81328
Wang, Zhenghan
1
2018
Symmetry defects and their application to topological quantum computing. Zbl 1442.18037
Delaney, Colleen; Wang, Zhenghan
1
2020
Beyond anyons. Zbl 1426.82063
Wang, Zhenghan
1
2019
Control of wing vortices. Zbl 1396.76077
Gursul, I.; Vardaki, E.; Margaris, P.; Wang, Z.
1
2007
On picture \((2+1)\)-TQFTs. Zbl 1168.81024
Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
1
2008
State sum invariants of three manifolds from spherical multi-fusion categories. Zbl 1382.57014
Cui, Shawn X.; Wang, Zhenghan
1
2017
Quantum computing with octonions. Zbl 1457.81024
Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan
1
2019
Braid group representations from braiding gapped boundaries of Dijkgraaf-Witten theories. Zbl 1445.18012
Escobar-Velásquez, Nicolás; Galindo, César; Wang, Zhenghan
1
2019
Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions. Zbl 1456.83026
Jian, Chao-Ming; Ludwig, Andreas W. W.; Luo, Zhu-Xi; Sun, Hao-Yu; Wang, Zhenghan
8
2020
Classification of super-modular categories by rank. Zbl 1441.18019
Bruillard, Paul; Galindo, César; Ng, Siu-Hung; Plavnik, Julia Y.; Rowell, Eric C.; Wang, Zhenghan
3
2020
Topological quantum computation with gapped boundaries and boundary defects. Zbl 1442.81017
Cong, Iris; Wang, Zhenghan
2
2020
Symmetry defects and their application to topological quantum computing. Zbl 1442.18037
Delaney, Colleen; Wang, Zhenghan
1
2020
On invariants of modular categories beyond modular data. Zbl 1439.18021
Bonderson, Parsa; Delaney, Colleen; Galindo, César; Rowell, Eric C.; Tran, Alan; Wang, Zhenghan
4
2019
On topological quantum computing with mapping class group representations. Zbl 1422.81074
Bloomquist, Wade; Wang, Zhenghan
2
2019
On generalized symmetries and structure of modular categories. Zbl 1419.18012
Cui, Shawn Xingshan; Zini, Modjtaba Shokrian; Wang, Zhenghan
2
2019
Uncertainty propagation analysis of T/R modules. Zbl 07086724
Wang, Z. H.; Jiang, C.; Ruan, X. X.; Zhang, Y. Q.; Huang, Z. L.; Wang, C. S.; Fang, T.
1
2019
Beyond anyons. Zbl 1426.82063
Wang, Zhenghan
1
2019
Quantum computing with octonions. Zbl 1457.81024
Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan
1
2019
Braid group representations from braiding gapped boundaries of Dijkgraaf-Witten theories. Zbl 1445.18012
Escobar-Velásquez, Nicolás; Galindo, César; Wang, Zhenghan
1
2019
Mathematics of topological quantum computing. Zbl 1437.81005
Rowell, Eric C.; Wang, Zhenghan
8
2018
of anyonic chains. Zbl 1430.81071
Zini, Modjtaba Shokrian; Wang, Zhenghan
4
2018
Congruence subgroups and super-modular categories. Zbl 06909759
Bonderson, Parsa; Rowell, Eric C.; Wang, Zhenghan; Zhang, Qing
4
2018
Path selection of a spherical capsule in a microfluidic branched channel: towards the design of an enrichment device. Zbl 1397.76194
Wang, Z.; Sui, Y.; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
2
2018
Beyond anyons. Zbl 1397.81328
Wang, Zhenghan
1
2018
Fermionic modular categories and the 16-fold way. Zbl 1365.81098
Bruillard, Paul; Galindo, César; Hagge, Tobias; Ng, Siu-Hung; Plavnik, Julia Yael; Rowell, Eric C.; Wang, Zhenghan
21
2017
Hamiltonian models for topological phases of matter in three spatial dimensions. Zbl 1368.81143
Williamson, Dominic J.; Wang, Zhenghan
12
2017
On classification of extremal non-holomorphic conformal field theories. Zbl 1362.81086
Tener, James E.; Wang, Zhenghan
8
2017
Local representations of the loop braid group. Zbl 1430.20006
Kádár, Zoltán; Martin, Paul; Rowell, Eric; Wang, Zhenghan
8
2017
Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter. Zbl 1381.37091
Cong, Iris; Cheng, Meng; Wang, Zhenghan
6
2017
State sum invariants of three manifolds from spherical multi-fusion categories. Zbl 1382.57014
Cui, Shawn X.; Wang, Zhenghan
1
2017
Rank-finiteness for modular categories. Zbl 1344.18008
Bruillard, Paul; Ng, Siu-Hung; Rowell, Eric C.; Wang, Zhenghan
27
2016
On gauging symmetry of modular categories. Zbl 1432.18016
Cui, Shawn X.; Galindo, César; Plavnik, Julia Yael; Wang, Zhenghan
23
2016
On the classification of weakly integral modular categories. Zbl 1332.18011
Bruillard, Paul; Galindo, César; Ng, Siu-Hung; Plavnik, Julia Y.; Rowell, Eric C.; Wang, Zhenghan
9
2016
Local unitary representations of the braid group and their applications to quantum computing. Zbl 1362.81023
Delaney, Colleen; Rowell, Eric C.; Wang, Zhenghan
7
2016
Classification of metaplectic modular categories. Zbl 1345.18003
Ardonne, Eddy; Cheng, Meng; Rowell, Eric C.; Wang, Zhenghan
6
2016
Stability and dynamics of two-dimensional fully nonlinear gravity-capillary solitary waves in deep water. Zbl 1383.76064
Wang, Z.
5
2016
On classification of modular categories by rank. Zbl 1404.18016
Bruillard, Paul; Ng, Siu-Hung; Rowell, Eric C.; Wang, Zhenghan
5
2016
Motion of a spherical capsule in branched tube flow with finite inertia. Zbl 1383.76569
Wang, Z.; Sui, Yi; Salsac, A.-V.; Barthès-Biesel, D.; Wang, W.
3
2016
Complexity classes as mathematical axioms. II. Zbl 1336.68088
Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan
1
2016
Quantum phase transition of Bose Einstein condensation in optical cavity with nonlinear interaction. Zbl 1335.81147
Zhu, H. B.; Wang, Z. H.
1
2016
Universal quantum computation with weakly integral anyons. Zbl 1327.81127
Cui, Shawn X.; Hong, Seung-Moon; Wang, Zhenghan
8
2015
Universal quantum computation with metaplectic anyons. Zbl 1308.81056
Cui, Shawn X.; Wang, Zhenghan
7
2015
On enriching the Levin-Wen model with symmetry. Zbl 1321.82009
Chang, Liang; Cheng, Meng; Cui, Shawn X.; Hu, Yuting; Jin, Wei; Movassagh, Ramis; Naaijkens, Pieter; Wang, Zhenghan; Young, Amanda
3
2015
Influence of inclined electric fields on the effective fracture toughness of piezoelectric ceramics. Zbl 1323.74031
Ricoeur, A.; Gellmann, R.; Wang, Z.
1
2015
A parallel algorithm for finding all minimal maximum subsequences via random walk. Zbl 1423.68576
Dai, H. K.; Wang, Z.
1
2015
On metaplectic modular categories and their applications. Zbl 1305.81105
Hastings, Matthew B.; Nayak, Chetan; Wang, Zhenghan
11
2014
Editors’ introduction: The third life of quantum logic: Quantum logic inspired by quantum computing. Zbl 1276.03047
Dunn, J. Michael; Moss, Lawrence S.; Wang, Zhenghan
3
2013
Localization of unitary braid group representations. Zbl 1245.81023
Rowell, Eric C.; Wang, Zhenghan
14
2012
Solutions to generalized Yang-Baxter equations via ribbon fusion categories. Zbl 1254.81026
Kitaev, Alexei; Wang, Zhenghan
3
2012
Stability analysis of nonlinear dynamic systems with slowly and periodically varying delay. Zbl 1256.93090
Zheng, Y. G.; Wang, Z. H.
1
2012
A graphical test for the interval stability of fractional-delay systems. Zbl 1228.93094
Yu, Y. J.; Wang, Z. H.
7
2011
General solution of the Bagley-Torvik equation with fractional-order derivative. Zbl 1221.34020
Wang, Z. H.; Wang, X.
25
2010
Stability and Hopf bifurcation of a class of TCP/AQM networks. Zbl 1188.93098
Zheng, Y. G.; Wang, Z. H.
15
2010
Tolological quantum computation. Zbl 1239.81005
Wang, Zhenghan
5
2010
Anyonic quantum walks. Zbl 1187.82048
Brennen, Gavin K.; Ellinas, Demosthenes; Kendon, Viv; Pachos, Jiannis K.; Tsohantjis, Ioannis; Wang, Zhenghan
1
2010
On classification of modular tensor categories. Zbl 1186.18005
Rowell, Eric; Stong, Richard; Wang, Zhenghan
39
2009
Singular perturbation methods for nonlinear dynamic systems with time delays. Zbl 1197.34113
Hu, H. Y.; Wang, Z. H.
12
2009
From string nets to nonabelions. Zbl 1196.82072
Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
4
2009
Stability and Hopf bifurcations of an optoelectronic time-delay feedback system. Zbl 1176.93037
Zheng, Y. G.; Wang, Z. H.
2
2009
A short introduction to Fibonacci anyon models. Zbl 1173.81362
Trebst, Simon; Troyer, Matthias; Wang, Zhenghan; Ludwig, Andreas W. W.
12
2008
On exotic modular tensor categories. Zbl 1160.18302
Hong, Seung-Moon; Rowell, Eric; Wang, Zhenghan
11
2008
An iteration method for calculating the periodic solution of time-delay systems after a Hopf bifurcation. Zbl 1179.34071
Wang, Z. H.
8
2008
A modified averaging scheme with application to the secondary Hopf bifurcation of a delayed van der Pol oscillator. Zbl 1271.70053
Wang, Z. H.; Hu, H. Y.
7
2008
Numerical stability test of neutral delay differential equations. Zbl 1166.65356
Wang, Z. H.
7
2008
Classification of symmetric polynomials of infinite variables: construction of abelian and non-abelian quantum Hall states. Zbl 1243.81246
Wen, Xiao-Gang; Wang, Zhenghan
4
2008
On picture \((2+1)\)-TQFTs. Zbl 1168.81024
Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
1
2008
Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis. Zbl 1146.70013
Gao, F.; Wang, H. L.; Wang, Z. H.
8
2007
Control of wing vortices. Zbl 1396.76077
Gursul, I.; Vardaki, E.; Margaris, P.; Wang, Z.
1
2007
Extraspecial 2-groups and images of braid group representations. Zbl 1097.20034
Franko, Jennifer M.; Rowell, Eric C.; Wang, Zhenghan
37
2006
An energy analysis of the local dynamics of a delayed oscillator near a Hopf bifurcation. Zbl 1170.70362
Wang, Z. H.; Hu, H. Y.
7
2006
Stabilization of vibration systems via delayed state difference feedback. Zbl 1243.93094
Wang, Z. H.; Hu, H. Y.
6
2006
Topologization of electron liquids with Chern-Simons theory and quantum computation. Zbl 1134.81406
Wang, Zhenghan
5
2006
Integrating data mining and rough set for customer group-based discovery of product configuration rules. Zbl 1128.90437
Shao, X.-Y.; Wang, Z.-H.; Li, P.-G.; Feng, C.-X. J.
3
2006
The \(N\)-eigenvalue problem and two applications. Zbl 1109.22008
Larsen, Michael J.; Rowell, Eric C.; Wang, Zhenghan
11
2005
Density of the \(\text{SO}(3)\) TQFT representation of mapping class groups. Zbl 1114.57012
Larsen, Michael; Wang, Zhenghan
11
2005
Quantum logic as motivated by quantum computing. Zbl 1093.03036
Dunn, J. Michael; Hagge, Tobias J.; Moss, Lawrence S.; Wang, Zhenghan
8
2005
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
6
2005
Robust stabilization to non-linear delayed systems via delayed state feedback: the averaging method. Zbl 1236.93089
Wang, Z. H.; Hu, H. Y.; Wang, H. L.
5
2005
A class of \(P,T\)-invariant topological phases of interacting electrons. Zbl 1057.81053
Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan
16
2004
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
63
2003
A modular functor which is universal for quantum computation. Zbl 1012.81007
Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan
55
2002
Simulation of topological field theories by quantum computers. Zbl 1014.81006
Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan
43
2002
The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027
Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan
33
2002
Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. Zbl 1037.57024
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan
16
2002
The Gassner representation for string links. Zbl 0989.57005
Kirk, Paul; Livingston, Charles; Wang, Zhenghan
19
2001
Parallel computation of invariant measures. Zbl 0997.65007
Ding, J.; Wang, Z.
4
2001
Random walk on knot diagrams, colored Jones polynomial and Ihara-Selberg zeta function. Zbl 0992.57001
Lin, Xiao-Song; Wang, Zhenghan
3
2001
Stability switches of time-delayed dynamic systems with unknown parameters. Zbl 1237.93159
Wang, Z. H.; Hu, H. Y.
26
2000
Self-homeomorphisms of 4-manifolds with fundamental group \(\mathbb{Z}\). Zbl 0974.57014
Stong, Richard; Wang, Zhenghan
2
2000
Delay-independent stability of retarded dynamic systems of multiple degrees of freedom. Zbl 1235.70002
Wang, Z. H.; Hu, H. Y.
8
1999
On Ohtsuki’s invariants of integral homology 3-spheres. Zbl 0936.57011
Lin, Xiaosong; Wang, Zhenghan
5
1999
Fermat limit and congruence of Ohtsuki invariants. Zbl 0959.57008
Lin, Xiao-Song; Wang, Zhenghan
2
1999
Stability analysis of damped sdof systems with two time delays in state feedback. Zbl 1235.93189
Hu, H. Y.; Wang, Z. H.
8
1998
Burau representation and random walks on string links. Zbl 0903.57003
Lin, Xiao-Song; Tian, Feng; Wang, Zhenghan
7
1998
Integral geometry of plane curves and knot invariants. Zbl 0937.53006
Lin, Xiao-Song; Wang, Zhenghan
10
1996
Classification of closed nonorientable 4-manifolds with infinite cyclic fundamental group. Zbl 0844.57019
Wang, Zhenghan
2
1995
Möbius energy of knots and unknots. Zbl 0817.57011
Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
72
1994
On Bott polynomials. Zbl 0847.57004
Wang, Zhenghan
1
1994
Möbius invariance of knot energy. Zbl 0776.57003
Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
7
1993
Spline boundary element method for plate bending problems. Zbl 0615.73098
Wang, Y. C.; Jiang, L. Z.; Li, J.; Wang, Z. H.
1
1986
all top 5

Cited by 574 Authors

36 Wang, Zhenghan
32 Rowell, Eric C.
18 Xue, Kang
10 Bruillard, Paul
10 Galindo Martínez, César Neyit
10 Hu, Taotao
10 Plavnik, Julia Yael
9 Kauffman, Louis Hirsch
9 Sun, Chunfang
9 Wang, Gangcheng
8 Blatt, Simon
8 Ng, Siu-Hung
8 von der Mosel, Heiko
6 Cui, Shawn Xingshan
6 Delcamp, Clement
6 Freedman, Michael Hartley
6 Ge, Molin
6 Jones, Corey
6 Rasetti, Mario
6 Sakasai, Takuya
6 Zhang, Yong
5 Bonderson, Parsa
5 Dong, Jingcheng
5 Funar, Louis
5 Gustafson, Paul P.
5 Hong, Seung-Moon
5 Kong, Liang
5 Marzuoli, Annalisa
5 Nagasawa, Takeyuki
5 O’Hara, Jun
5 Rawdon, Eric J.
5 Reiter, Philipp
5 Schopieray, Andrew
5 Sosinskiĭ, Alekseĭ Bronislavovich
5 Stoimenow, Alexander
5 Strzelecki, Paweł
4 Ardonne, Eddy
4 Bigelow, Stephen J.
4 Bullivant, Alex
4 Ishizeki, Aya
4 Karpenkov, Oleg Nikolaevich
4 Larsen, Michael Jeffrey
4 Pachos, Jiannis K.
4 Ren, Hang
4 Simon, Jonathan K.
4 Wang, Qingyong
4 Wen, Xiaogang
4 Zhou, Chengcheng
3 Barter, Daniel
3 Bombín, Héctor
3 Buck, Gregory R.
3 Buican, Matthew
3 Cheng, Meng
3 Costantino, Francesco
3 Delaney, Colleen
3 Edie-Michell, Cain
3 Fendley, Paul
3 Gannon, Terry
3 Hasegawa, Masahito
3 Jones, Vaughan Frederick Randal
3 Kádár, Zoltán
3 Kitaev, Alexei Yu.
3 Kuperberg, Gregory John
3 Levaillant, Claire
3 Loebl, Martin
3 Lomonaco, Samuel J. jun.
3 Ludwig, Andreas W. W.
3 Marin, Ivan
3 Martin-Delgado, Miguel Angel
3 Martin, Paul Purdon
3 Morrison, Scott
3 Mukhi, Sunil
3 Nayak, Chetan
3 Nikshych, Dmitri
3 Snyder, Noah
3 Wong, Helen M.
3 Yu, Li-Wei
3 Zhao, Qing
3 Zheng, Hao
2 Agol, Ian
2 Aharonov, Dorit
2 Arroja Neves, André
2 Bar-Natan, Dror
2 Bergfeld, Jort Martinus
2 Bergholtz, Emil J.
2 Bischoff, Marcel
2 Bochniak, Arkadiusz
2 Bravyi, Sergey B.
2 Bridgeman, Jacob C.
2 Brunat, Olivier
2 Buerschaper, Oliver
2 Chang, Liang
2 Cimasoni, David
2 Cong, Iris
2 Conway, Anthony
2 Dai, Li
2 Debray, Arun
2 Dunfield, Nathan M.
2 Duran, Durgun
2 Durumeric, Oguz C.
...and 474 more Authors
all top 5

Cited in 125 Serials

40 Journal of High Energy Physics
37 Communications in Mathematical Physics
34 Journal of Knot Theory and its Ramifications
23 Quantum Information Processing
19 Journal of Mathematical Physics
16 New Journal of Physics
10 Journal of Algebra
10 Algebraic & Geometric Topology
9 Topology and its Applications
7 Advances in Mathematics
7 Geometriae Dedicata
7 Geometry & Topology
7 International Journal of Quantum Information
6 International Journal of Modern Physics B
6 International Journal of Theoretical Physics
6 Transactions of the American Mathematical Society
6 Russian Journal of Mathematical Physics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Nuclear Physics. B
5 Journal of the American Mathematical Society
5 Calculus of Variations and Partial Differential Equations
5 Quantum Topology
4 Proceedings of the American Mathematical Society
4 Annals of Physics
4 Bulletin of the American Mathematical Society. New Series
4 Physical Review Letters
4 Journal of Statistical Mechanics: Theory and Experiment
4 Proceedings of the Steklov Institute of Mathematics
3 Bulletin of the Australian Mathematical Society
3 Journal of Statistical Physics
3 Reviews of Modern Physics
3 Reviews in Mathematical Physics
3 Glasgow Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Pacific Journal of Mathematics
3 Tohoku Mathematical Journal. Second Series
3 MSCS. Mathematical Structures in Computer Science
3 The Journal of Geometric Analysis
3 Experimental Mathematics
3 Selecta Mathematica. New Series
3 Algebras and Representation Theory
3 Journal of Algebra and its Applications
3 Journal of Physics A: Mathematical and Theoretical
3 Physical Review A, Third Series
2 Letters in Mathematical Physics
2 Journal of Geometry and Physics
2 Acta Mathematica Vietnamica
2 Journal of Philosophical Logic
2 The Journal of Symbolic Logic
2 Advances in Applied Mathematics
2 International Journal of Mathematics
2 Linear Algebra and its Applications
2 Bulletin des Sciences Mathématiques
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Science China. Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Communications in Algebra
1 Computer Physics Communications
1 Inverse Problems
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Mathematical Biosciences
1 Mathematical Notes
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Fundamenta Mathematicae
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Studia Logica
1 Tokyo Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Statistical Science
1 Algorithmica
1 Mathematical and Computer Modelling
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Mathematical Imaging and Vision
1 Computational Complexity
1 Journal of Applied Non-Classical Logics
1 Theory and Applications of Categories
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Transformation Groups
...and 25 more Serials
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Cited in 50 Fields

219 Quantum theory (81-XX)
172 Manifolds and cell complexes (57-XX)
88 Category theory; homological algebra (18-XX)
73 Group theory and generalizations (20-XX)
54 Differential geometry (53-XX)
50 Associative rings and algebras (16-XX)
50 Statistical mechanics, structure of matter (82-XX)
28 Global analysis, analysis on manifolds (58-XX)
28 Computer science (68-XX)
25 Nonassociative rings and algebras (17-XX)
25 Functional analysis (46-XX)
25 Relativity and gravitational theory (83-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
16 Combinatorics (05-XX)
15 Information and communication theory, circuits (94-XX)
14 Number theory (11-XX)
11 Mathematical logic and foundations (03-XX)
9 Biology and other natural sciences (92-XX)
8 Partial differential equations (35-XX)
7 Algebraic geometry (14-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Commutative algebra (13-XX)
4 Operator theory (47-XX)
4 Numerical analysis (65-XX)
4 Mechanics of deformable solids (74-XX)
3 \(K\)-theory (19-XX)
3 Topological groups, Lie groups (22-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Ordinary differential equations (34-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Real functions (26-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Citations by Year