## Zhang, Tusheng S.

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 Author ID: zhang.tusheng-s Published as: Zhang, Tusheng; Zhang, T. S.; Zhang, Tu-Sheng; Zhang, T.-S.; Zhang, Tusheng S.; Zhang, Tu-sheng; Zhang, T. more...less Homepage: http://www.maths.manchester.ac.uk/~tzhang/ External Links: ResearchGate · dblp · GND
 Documents Indexed: 173 Publications since 1989, including 4 Books 2 Contributions as Editor Co-Authors: 69 Co-Authors with 146 Joint Publications 2,153 Co-Co-Authors
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### Co-Authors

 24 single-authored 30 Øksendal, Bernt Karsten 20 Röckner, Michael 15 Ubøe, Jan 12 Zhai, Jianliang 10 Chen, Zhen-Qing 9 Holden, Helge 9 Lindstrøm, Tom L. 8 Mohammed, Salah-Eldin A. 7 Fang, Shizan 6 Hu, Yaozhong 5 Albeverio, Sergio A. 5 Fitzsimmons, Patrick J. 5 Lyons, Terence John 5 Sulem, Agnès 5 Xu, Tiange 4 Dong, Zhao 4 Kuwae, Kazuhiro 4 Shang, Shijie 4 Wang, Feng-Yu 4 Yang, Xue 3 Matoussi, Anis 3 Ouyang, Huajiang 3 Wang, Ran 3 Yang, Saisai 3 Yue, Wen 3 Zhang, Rangrang 3 Zhang, Yongou 3 Zheng, Wuting 2 Benth, Fred Espen 2 Dalang, Robert C. 2 Di Nunno, Giulia 2 Li, Tianyun 2 Proske, Frank Norbert 2 Ran, Qikang 2 Sabbagh, Wissal 2 Takeda, Masayoshi 2 Wang, Chen 2 Wu, Jianglun 2 Xu, Lihu 2 Yan, Jia-An 2 Yang, Juan 1 Aida, Shigeki 1 Biagini, Francesca 1 Bo, Lijun 1 Bogachev, Vladimir Igorevich 1 Carlson, Ross P. 1 Doney, Ronald Arthur 1 Gjerde, Jon 1 Gjessing, Håkon K. 1 Hofmanová, Martina 1 Hu, Ying 1 Imkeller, Peter 1 Khoshnevisan, Davar 1 Klapper, Isaac 1 Ledoux, Michel 1 Liu, Kai 1 Lunt, John 1 Lv, Binglin 1 Ma, Zhi-Ming 1 Menoukeu Pamen, Olivier 1 Meyer-Brandis, Thilo 1 Nilssen, Torstein K. 1 Nualart, David 1 Pardoux, Etienne 1 Parker, Albert E. 1 Posilicano, Andrea 1 Qian, Zhongmin M. 1 Stewart, Philip S. 1 Winter, Matthias 1 Xiang, Kai-Nan 1 Xiao, Yimin 1 Xiong, Jie 1 Ying, Jiangang 1 Zhang, Xicheng 1 Zhao, Huaizhong 1 Zheng, Weian 1 Zhou, Xunyu
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### Serials

 20 Stochastic Processes and their Applications 11 The Annals of Probability 11 Potential Analysis 10 Journal of Functional Analysis 7 Stochastics and Stochastics Reports 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 Journal of Differential Equations 5 Probability Theory and Related Fields 4 Applied Mathematics and Optimization 4 Journal of Theoretical Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Mathematical Analysis and Applications 3 Osaka Journal of Mathematics 3 Stochastic Analysis and Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 The Annals of Applied Probability 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bernoulli 3 Stochastics and Dynamics 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 Communications in Partial Differential Equations 2 Stochastics 2 Communications in Mathematics and Statistics 2 Probability and its Applications 1 Advances in Applied Probability 1 Acta Mathematica Sinica 1 Bulletin of the London Mathematical Society 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Control and Optimization 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Journal of Mathematics. Wuhan University 1 Journal of Time Series Analysis 1 Chinese Annals of Mathematics. Series B 1 Forum Mathematicum 1 Science in China. Series A 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Engineering Analysis with Boundary Elements 1 Electronic Journal of Probability 1 Mathematical Problems in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Interdisciplinary Mathematical Sciences 1 Abel Symposia 1 Communications on Stochastic Analysis 1 International Journal of Stochastic Analysis 1 Universitext
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### Fields

 166 Probability theory and stochastic processes (60-XX) 54 Partial differential equations (35-XX) 34 Potential theory (31-XX) 16 Systems theory; control (93-XX) 11 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

146 Publications have been cited 2,019 times in 1,410 Documents Cited by Year
Stochastic calculus for fractional Brownian motion and applications. Zbl 1157.60002
Biagini, Francesca; Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng
2008
Stochastic partial differential equations. A modeling, white noise functional approach. Zbl 0860.60045
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
1996
A study of a class of stochastic differential equations with non-Lipschitzian coefficients. Zbl 1081.60043
Fang, Shizan; Zhang, Tusheng
2005
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
2007
Parabolic SPDEs driven by Poisson white noise. Zbl 0934.60055
Albeverio, Sergio; Wu, Jiang-Lun; Zhang, Tu-Sheng
1998
Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
2010
Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations. Zbl 1217.93183
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng
2011
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
2002
The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations. Zbl 1169.60014
Mohammed, Salah-Eldin A.; Zhang, Tusheng; Zhao, Huaizhong
2008
Local times of fractional Brownian sheets. Zbl 1009.60024
Xiao, Yimin; Zhang, Tusheng
2002
Decomposition of Dirichlet processes and its applications. Zbl 0804.60044
Lyons, T. J.; Zhang, T. S.
1994
Absolute continuity of symmetric Markov processes. Zbl 1053.60084
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S.
2004
White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles. Zbl 1175.60068
Xu, Tiange; Zhang, Tusheng
2009
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
Uniqueness of generalized Schrödinger operators and applications. Zbl 0779.35028
Röckner, Michael; Zhang, Tu-Sheng
1992
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
2010
A variational approach to the construction and Malliavin differentiability of strong solutions of SDEs. Zbl 1282.60057
Menoukeu-Pamen, Olivier; Meyer-Brandis, Thilo; Nilssen, Torstein; Proske, Frank; Zhang, Tusheng
2013
Uniqueness of generalized Schrödinger operators. II. Zbl 0799.35053
Röckner, Michael; Zhang, Tu-Sheng
1994
Stochastic calculus for symmetric Markov processes. Zbl 1142.31005
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
2008
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
Aida, Shigeki; Zhang, Tusheng
2002
The Burgers equation with a noisy force and the stochastic heat equation. Zbl 0804.35158
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
1994
Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1344.60030
Zhai, Jianliang; Zhang, Tusheng
2015
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
2015
A moderate deviation principle for 2-D stochastic Navier-Stokes equations. Zbl 1310.60100
Wang, Ran; Zhai, Jianliang; Zhang, Tusheng
2015
Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032
Röckner, Michael; Zhang, Tusheng
2012
On the small time asymptotics of diffusion processes on Hilbert spaces. Zbl 1044.60071
Zhang, T. S.
2000
Global flows for stochastic differential equations without global Lipschitz conditions. Zbl 1128.60046
Fang, Shizan; Imkeller, Peter; Zhang, Tusheng
2007
Perturbation of symmetric Markov processes. Zbl 1137.31004
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
2008
Integrability of functionals of Dirichlet processes, probabilistic representations of semigroups, and estimates of heat kernels. Zbl 0914.60045
Lunt, John; Lyons, T. J.; Zhang, T. S.
1998
Girsanov and Feynman-Kac type transformations for symmetric Markov processes. Zbl 1004.60077
Chen, Zhen-Qing; Zhang, Tu-Sheng
2002
Large deviation principles for 2-D stochastic Navier-Stokes equations driven by Lévy processes. Zbl 1210.60071
Xu, Tiange; Zhang, Tusheng
2009
Perturbed Skorohod equations and perturbed reflected diffusion processes. Zbl 1061.60056
Doney, R. A.; Zhang, Tusheng
2005
A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1356.60100
Dong, Zhao; Xiong, Jie; Zhai, Jianliang; Zhang, Tusheng
2017
Multiparameter fractional Brownian motion and quasi-linear stochastic partial differential equations. Zbl 0986.60056
Øksendal, Bernt; Zhang, Tusheng
2001
The Itô-Ventzell formula and forward stochastic differential equations driven by Poisson random measures. Zbl 1118.60052
Øksendal, Bernt; Zhang, Tusheng
2007
Girsanov transform for symmetric diffusions with infinite dimensional state space. Zbl 0776.60093
Albeverio, S.; Röckner, M.; Zhang, T. S.
1993
General fractional multiparameter white noise theory and stochastic partial differential equations. Zbl 1067.35161
Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng
2004
On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary. Zbl 0796.60062
Zhang, Tu-Sheng
1994
Large deviations for SPDEs of jump type. Zbl 1327.60074
Yang, Xue; Zhai, Jianliang; Zhang, Tusheng
2015
A class of stochastic differential equations with non-Lipschitzian coefficients: Pathwise uniqueness and no explosion. Zbl 1031.60051
Fang, Shizan; Zhang, Tusheng
2003
Absolute continuity of the law of the solution of a parabolic SPDE. Zbl 0777.60046
Pardoux, Etienne; Zhang, Tusheng
1993
Singular control and optimal stopping of SPDEs, and backward SPDEs with reflection. Zbl 1306.93078
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng
2014
On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drifts. Zbl 0932.60071
Fang, S.; Zhang, T. S.
1999
Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields. Zbl 1090.60057
Øksendal, Bernt; Proske, Frank; Zhang, Tusheng
2005
Large deviations for stochastic systems with memory. Zbl 1136.60021
Mohammed, Salah-Eldin A.; Zhang, Tusheng
2006
Time-reversal and elliptic boundary value problems. Zbl 1187.60064
Chen, Zhen-Qing; Zhang, Tusheng
2009
On general perturbations of symmetric Markov processes. Zbl 1176.60070
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
2009
Isotropic stochastic flow of homeomorphisms on $$S^{d}$$ for the critical Sobolev exponent. Zbl 1095.60020
Fang, Shizan; Zhang, Tusheng
2006
Large deviations for stochastic models of two-dimensional second grade fluids. Zbl 1370.60049
Zhai, Jianliang; Zhang, Tusheng
2017
Quasilinear parabolic stochastic partial differential equations: existence, uniqueness. Zbl 1372.60091
Hofmanová, Martina; Zhang, Tusheng
2017
Stochastic partial differential equations driven by multiparameter fractional white noise. Zbl 0982.60054
Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng
2000
Large deviations for the Brownian motion on loop groups. Zbl 1003.60028
Fang, Shizan; Zhang, Tusheng
2001
Characterizations of the white noise test functionals and Hida distributions. Zbl 0765.60031
Zhang, Tu-Sheng
1992
Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients. Zbl 1185.60065
Wang, Feng-Yu; Zhang, Tu-Sheng
2010
Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. Zbl 1285.60065
Wang, Feng-Yu; Zhang, Tusheng
2014
Markov uniqueness for a class of infinite dimensional Dirichlet operators. Zbl 0827.31007
Albeverio, Sergio; Röckner, Michael; Zhang, Tu-Sheng
1993
Generalized Feynman-Kac semigroups, associated quadratic forms and asymptotic properties. Zbl 0984.31006
Zhang, T. S.
2001
The dynamics of the stochastic shadow Gierer-Meinhardt system. Zbl 1337.60139
Winter, Matthias; Xu, Lihu; Zhai, Jianliang; Zhang, Tusheng
2016
Improved rectangular method on stochastic Volterra equations. Zbl 1221.65023
Wen, C. H.; Zhang, T. S.
2011
Strong convergence of Wong-Zakai approximations of reflected SDEs in a multidimensional general domain. Zbl 1311.60066
Zhang, Tusheng
2014
Existence and uniqueness of invariant measures: An approach via sectorial forms. Zbl 0953.31003
Bogachev, V.; Röckner, M.; Zhang, T. S.
2000
SPDEs driven by space-time white noise in high dimensions: Absolute continuity of the law and convergence of solutions. Zbl 1030.60042
Zhang, T. S.; Zheng, W. A.
2002
The pressure equation for fluid flow in a stochastic medium. Zbl 0834.60068
Holden, H.; Lindstrøm, T.; Øksendal, B.; Ubøe, J.; Zhang, T.-S.
1995
Convergence of non-symmetric Dirichlet processes. Zbl 0888.31005
Lyons, Terry; Zhang, Tusheng
1996
Large deviations for stochastic nonlinear beam equations. Zbl 1118.60021
Zhang, Tusheng
2007
Exponential mixing for stochastic model of two-dimensional second grade fluids. Zbl 1329.60223
Wang, Ran; Zhai, Jianliang; Zhang, Tusheng
2016
Approximation of arbitrary Dirichlet processes by Markov chains. Zbl 0898.31009
Ma, Zhiming; Röckner, Michael; Zhang, Tu-Sheng
1998
Finite dimensional approximation of diffusion processes on infinite dimensional spaces. Zbl 0885.60066
Röckner, M.; Zhang, T. S.
1996
Markov uniqueness and its applications to martingale problems, stochastic differential equations and stochastic quantization. Zbl 0767.31009
Albeverio, Sergio; Röckner, Michael; Zhang, Tu-Sheng
1993
Stochastic boundary value problems: A white noise functional approach. Zbl 0792.60055
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu-Sheng
1993
On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations. Zbl 1196.60119
Xu, Tiange; Zhang, Tusheng
2009
White noise driven SPDEss with two reflecting walls. Zbl 1235.60081
Zhang, Tusheng; Yang, Juan
2011
Large deviation principles for first-order scalar conservation laws with stochastic forcing. Zbl 1465.60025
Dong, Zhao; Wu, Jiang-Lun; Zhang, Rangrang; Zhang, Tusheng
2020
Optimal control with partial information for stochastic Volterra equations. Zbl 1214.49033
Øksendal, Bernt; Zhang, Tusheng
2010
Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise. Zbl 1418.60072
Dalang, Robert C.; Khoshnevisan, Davar; Zhang, Tusheng
2019
SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing. Zbl 1394.76105
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2015
The Wick product. Zbl 0820.60048
Gjessing, H.; Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
1993
Dynamics of stochastic 2D Navier-Stokes equations. Zbl 1213.60107
Mohammed, Salah; Zhang, Tusheng
2010
Stochastic Burgers equation with random initial velocities: a Malliavin calculus approach. Zbl 1274.60205
Mohammed, Salah-Eldin A.; Zhang, Tusheng
2013
Estimates of heat kernels with Neumann boundary conditions. Zbl 1262.35115
Yang, Xue; Zhang, Tusheng
2013
Backward doubly SDEs and semilinear stochastic PDEs in a convex domain. Zbl 1372.60085
Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng
2017
The stochastic Volterra equation. Zbl 0783.60060
Øksendal, Bernt; Zhang, Tu-Sheng
1993
Nonrobustness of some impulse control problems with respect to intervention costs. Zbl 1012.93066
Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
2002
Existence and uniqueness of invariant measures for SPDEs with two reflecting walls. Zbl 1308.60081
Yang, Juan; Zhang, Tusheng
2014
Stability properties of stochastic partial differential equations. Zbl 0829.60053
Lindstrøm, Tom; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
1995
The stochastic Wick-type Burgers equation. Zbl 0823.60050
Holden, Helge; Lindstrøm, Tom; Øksendal, Bernt; Ubøe, J.; Zhang, T.-S.
1995
Large deviations for invariant measures of SPDEs with two reflecting walls. Zbl 1248.60077
Zhang, Tusheng
2012
Absolute continuity of the laws of perturbed diffusion processes and perturbed reflected diffusion processes. Zbl 1325.60131
Yue, Wen; Zhang, Tusheng
2015
Small time asymptotics for Fleming-Viot processes. Zbl 1080.60504
Xiang, Kai-Nan; Zhang, Tu-Sheng
2005
Systems of stochastic partial differential equations with reflection: existence and uniqueness. Zbl 1218.60059
Zhang, Tusheng
2011
Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses. Zbl 1471.74046
Zhang, T.; Ouyang, H.; Zhang, Y. O.; Lv, B. L.
2016
Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise. Zbl 1403.60058
Shang, Shijie; Zhai, Jianliang; Zhang, Tusheng
2019
Moderate deviations for stochastic models of two-dimensional second grade fluids. Zbl 1396.60075
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting
2018
Backward stochastic differential equations with respect to general filtrations and applications to insider finance. Zbl 1331.91209
Øksendal, Bernt; Zhang, Tusheng
2012
Convergence of operator semigroups generated by elliptic operators. Zbl 0906.47027
Röckner, Michael; Zhang, Tu-Sheng
1997
On the small time large deviations of diffusion processes on configuration spaces. Zbl 1047.60081
Zhang, T. S.
2001
Note on convergence of Dirichlet processes. Zbl 0793.31006
Lyons, T. J.; Zhang, T. S.
1993
Hölder continuity of solutions of SPDEs with reflection. Zbl 1277.60107
Dalang, Robert C.; Zhang, Tusheng
2013
A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients. Zbl 1242.60072
Zhang, Tusheng
2011
Stochastic evolution equations driven by Lévy processes. Zbl 1237.60049
Chen, Zhen-Qing; Zhang, Tusheng
2011
Large deviation principles of obstacle problems for quasilinear stochastic PDEs. Zbl 1470.60188
Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng
2021
Large deviation principles for first-order scalar conservation laws with stochastic forcing. Zbl 1465.60025
Dong, Zhao; Wu, Jiang-Lun; Zhang, Rangrang; Zhang, Tusheng
2020
Large deviations for quasilinear parabolic stochastic partial differential equations. Zbl 1451.60064
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng
2020
Talagrand inequality on free path space and application to stochastic reaction diffusion equations. Zbl 1457.60041
Wang, Feng-yu; Zhang, Tu-sheng
2020
Approximations of stochastic Navier-Stokes equations. Zbl 1437.35713
Shang, Shijie; Zhang, Tusheng
2020
2D stochastic chemotaxis-Navier-Stokes system. Zbl 1439.60064
Zhai, Jianliang; Zhang, Tusheng
2020
Reflected backward stochastic partial differential equations in a convex domain. Zbl 1477.60104
Yang, Xue; Zhang, Qi; Zhang, Tusheng
2020
Multiscale flux-based modeling of biofilm communities. Zbl 1448.92144
Zhang, T.; Parker, A.; Carlson, R. P.; Stewart, P. S.; Klapper, I.
2020
Global solutions to stochastic reaction-diffusion equations with super-linear drift and multiplicative noise. Zbl 1418.60072
Dalang, Robert C.; Khoshnevisan, Davar; Zhang, Tusheng
2019
Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise. Zbl 1403.60058
Shang, Shijie; Zhai, Jianliang; Zhang, Tusheng
2019
Talagrand concentration inequalities for stochastic heat-type equations under uniform distance. Zbl 1427.60134
Shang, Shijie; Zhang, Tusheng
2019
Stochastic Burgers type equations with reflection: existence, uniqueness. Zbl 1415.60081
Zhang, Tusheng
2019
Small time asymptotics for Brownian motion with singular drift. Zbl 1447.60093
Chen, Zhen-Qing; Fang, Shizan; Zhang, Tusheng
2019
Moderate deviations for stochastic models of two-dimensional second grade fluids. Zbl 1396.60075
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting
2018
Moderate deviations for stochastic models of two-dimensional second-grade fluids driven by Lévy noise. Zbl 1404.60096
Zheng, Wuting; Zhai, Jianliang; Zhang, Tusheng
2018
Large deviations for stochastic heat equation with rough dependence in space. Zbl 1379.60069
Hu, Yaozhong; Nualart, David; Zhang, Tusheng
2018
Backward stochastic differential equations and Dirichlet problems of semilinear elliptic operators with singular coefficients. Zbl 1425.60061
Yang, Saisai; Zhang, Tusheng
2018
A moderate deviation principle for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1356.60100
Dong, Zhao; Xiong, Jie; Zhai, Jianliang; Zhang, Tusheng
2017
Large deviations for stochastic models of two-dimensional second grade fluids. Zbl 1370.60049
Zhai, Jianliang; Zhang, Tusheng
2017
Quasilinear parabolic stochastic partial differential equations: existence, uniqueness. Zbl 1372.60091
Hofmanová, Martina; Zhang, Tusheng
2017
Backward doubly SDEs and semilinear stochastic PDEs in a convex domain. Zbl 1372.60085
Matoussi, Anis; Sabbagh, Wissal; Zhang, Tusheng
2017
The dynamics of the stochastic shadow Gierer-Meinhardt system. Zbl 1337.60139
Winter, Matthias; Xu, Lihu; Zhai, Jianliang; Zhang, Tusheng
2016
Exponential mixing for stochastic model of two-dimensional second grade fluids. Zbl 1329.60223
Wang, Ran; Zhai, Jianliang; Zhang, Tusheng
2016
Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses. Zbl 1471.74046
Zhang, T.; Ouyang, H.; Zhang, Y. O.; Lv, B. L.
2016
Efficient SPH simulation of time-domain acoustic wave propagation. Zbl 1403.76173
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2016
Lattice approximations of reflected stochastic partial differential equations driven by space-time white noise. Zbl 1358.60075
Zhang, Tusheng
2016
A stochastic HJB equation for optimal control of forward-backward SDEs. Zbl 1354.60061
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng
2016
Approximations of stochastic partial differential equations. Zbl 1345.60053
Di Nunno, Giulia; Zhang, Tusheng
2016
Large deviations for 2-D stochastic Navier-Stokes equations driven by multiplicative Lévy noises. Zbl 1344.60030
Zhai, Jianliang; Zhang, Tusheng
2015
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
2015
A moderate deviation principle for 2-D stochastic Navier-Stokes equations. Zbl 1310.60100
Wang, Ran; Zhai, Jianliang; Zhang, Tusheng
2015
Large deviations for SPDEs of jump type. Zbl 1327.60074
Yang, Xue; Zhai, Jianliang; Zhang, Tusheng
2015
SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing. Zbl 1394.76105
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2015
Absolute continuity of the laws of perturbed diffusion processes and perturbed reflected diffusion processes. Zbl 1325.60131
Yue, Wen; Zhang, Tusheng
2015
Wong-Zakai approximations of backward doubly stochastic differential equations. Zbl 1325.60089
Hu, Ying; Matoussi, Anis; Zhang, Tusheng
2015
Singular control and optimal stopping of SPDEs, and backward SPDEs with reflection. Zbl 1306.93078
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng
2014
Log-Harnack inequality for mild solutions of SPDEs with multiplicative noise. Zbl 1285.60065
Wang, Feng-Yu; Zhang, Tusheng
2014
Strong convergence of Wong-Zakai approximations of reflected SDEs in a multidimensional general domain. Zbl 1311.60066
Zhang, Tusheng
2014
Existence and uniqueness of invariant measures for SPDEs with two reflecting walls. Zbl 1308.60081
Yang, Juan; Zhang, Tusheng
2014
A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients. Zbl 1296.60164
Chen, Zhen-Qing; Zhang, Tusheng
2014
Mixed boundary value problems of semilinear elliptic PDEs and BSDEs with singular coefficients. Zbl 1333.60152
Yang, Xue; Zhang, Tusheng
2014
A large deviation principle of retarded Ornstein-Uhlenbeck processes driven by Lévy noise. Zbl 1308.60029
Liu, Kai; Zhang, Tusheng
2014
A variational approach to the construction and Malliavin differentiability of strong solutions of SDEs. Zbl 1282.60057
Menoukeu-Pamen, Olivier; Meyer-Brandis, Thilo; Nilssen, Torstein; Proske, Frank; Zhang, Tusheng
2013
Stochastic Burgers equation with random initial velocities: a Malliavin calculus approach. Zbl 1274.60205
Mohammed, Salah-Eldin A.; Zhang, Tusheng
2013
Estimates of heat kernels with Neumann boundary conditions. Zbl 1262.35115
Yang, Xue; Zhang, Tusheng
2013
Hölder continuity of solutions of SPDEs with reflection. Zbl 1277.60107
Dalang, Robert C.; Zhang, Tusheng
2013
Stochastic generalized porous media equations with reflection. Zbl 1328.60152
Röckner, Michael; Wang, Feng-Yu; Zhang, Tusheng
2013
Anticipating stochastic 2D Navier-Stokes equations. Zbl 1282.35281
Mohammed, Salah; Zhang, Tusheng
2013
Stochastic 3D tamed Navier-Stokes equations: existence, uniqueness and small time large deviation principles. Zbl 1241.60032
Röckner, Michael; Zhang, Tusheng
2012
Large deviations for invariant measures of SPDEs with two reflecting walls. Zbl 1248.60077
Zhang, Tusheng
2012
Backward stochastic differential equations with respect to general filtrations and applications to insider finance. Zbl 1331.91209
Øksendal, Bernt; Zhang, Tusheng
2012
Optimal partial information control of SPDEs with delay and time-advanced backward SPDEs. Zbl 1283.93316
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng
2012
The Burgers equation with affine linear noise: dynamics and stability. Zbl 1248.60072
Mohammed, Salah; Zhang, Tusheng
2012
Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations. Zbl 1217.93183
Øksendal, Bernt; Sulem, Agnès; Zhang, Tusheng
2011
Improved rectangular method on stochastic Volterra equations. Zbl 1221.65023
Wen, C. H.; Zhang, T. S.
2011
White noise driven SPDEss with two reflecting walls. Zbl 1235.60081
Zhang, Tusheng; Yang, Juan
2011
Systems of stochastic partial differential equations with reflection: existence and uniqueness. Zbl 1218.60059
Zhang, Tusheng
2011
A probabilistic approach to Dirichlet problems of semilinear elliptic PDEs with singular coefficients. Zbl 1242.60072
Zhang, Tusheng
2011
Stochastic evolution equations driven by Lévy processes. Zbl 1237.60049
Chen, Zhen-Qing; Zhang, Tusheng
2011
Backward SDEs and Sobolev solutions for semilinear parabolic PDEs with singular coefficients. Zbl 1227.60089
Zhang, Tusheng; Ran, Qikang
2011
Stochastic partial differential equations. A modeling, white noise functional approach. 2nd ed. Zbl 1198.60005
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng
2010
Large deviations for stochastic tamed 3D Navier-Stokes equations. Zbl 1195.60093
Röckner, Michael; Zhang, Tusheng; Zhang, Xicheng
2010
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
2010
Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients. Zbl 1185.60065
Wang, Feng-Yu; Zhang, Tu-Sheng
2010
Optimal control with partial information for stochastic Volterra equations. Zbl 1214.49033
Øksendal, Bernt; Zhang, Tusheng
2010
Dynamics of stochastic 2D Navier-Stokes equations. Zbl 1213.60107
Mohammed, Salah; Zhang, Tusheng
2010
Existence and uniqueness of bounded weak solutions of a semilinear parabolic PDE. Zbl 1205.60116
Ran, Qikang; Zhang, Tusheng
2010
Large deviation principles for isotropic stochastic flow of homeomorphisms on $$S^{d}$$. Zbl 1205.60058
Xu, Tiange; Zhang, Tusheng
2010
White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles. Zbl 1175.60068
Xu, Tiange; Zhang, Tusheng
2009
Large deviation principles for 2-D stochastic Navier-Stokes equations driven by Lévy processes. Zbl 1210.60071
Xu, Tiange; Zhang, Tusheng
2009
Time-reversal and elliptic boundary value problems. Zbl 1187.60064
Chen, Zhen-Qing; Zhang, Tusheng
2009
On general perturbations of symmetric Markov processes. Zbl 1176.60070
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
2009
On the small time asymptotics of the two-dimensional stochastic Navier-Stokes equations. Zbl 1196.60119
Xu, Tiange; Zhang, Tusheng
2009
Invariant measures for stochastic evolution equations of pure jump type. Zbl 1157.60062
Dong, Zhao; Xu, Tiange; Zhang, Tusheng
2009
Large deviations for perturbed reflected diffusion processes. Zbl 1187.60018
Bo, Lijun; Zhang, Tusheng
2009
Anticipating stochastic differential systems with memory. Zbl 1196.60103
Mohammed, Salah; Zhang, Tusheng
2009
Stochastic calculus for fractional Brownian motion and applications. Zbl 1157.60002
Biagini, Francesca; Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng
2008
The stable manifold theorem for semilinear stochastic evolution equations and stochastic partial differential equations. Zbl 1169.60014
Mohammed, Salah-Eldin A.; Zhang, Tusheng; Zhao, Huaizhong
2008
Stochastic calculus for symmetric Markov processes. Zbl 1142.31005
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
2008
Perturbation of symmetric Markov processes. Zbl 1137.31004
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
2008
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
2007
Global flows for stochastic differential equations without global Lipschitz conditions. Zbl 1128.60046
Fang, Shizan; Imkeller, Peter; Zhang, Tusheng
2007
The Itô-Ventzell formula and forward stochastic differential equations driven by Poisson random measures. Zbl 1118.60052
Øksendal, Bernt; Zhang, Tusheng
2007
Large deviations for stochastic nonlinear beam equations. Zbl 1118.60021
Zhang, Tusheng
2007
The substitution theorem for semilinear stochastic partial differential equations. Zbl 1138.60048
Mohammed, Salah-Eldin A.; Zhang, Tusheng
2007
Large deviations for stochastic systems with memory. Zbl 1136.60021
Mohammed, Salah-Eldin A.; Zhang, Tusheng
2006
Isotropic stochastic flow of homeomorphisms on $$S^{d}$$ for the critical Sobolev exponent. Zbl 1095.60020
Fang, Shizan; Zhang, Tusheng
2006
A study of a class of stochastic differential equations with non-Lipschitzian coefficients. Zbl 1081.60043
Fang, Shizan; Zhang, Tusheng
2005
Perturbed Skorohod equations and perturbed reflected diffusion processes. Zbl 1061.60056
Doney, R. A.; Zhang, Tusheng
2005
Backward stochastic partial differential equations with jumps and application to optimal control of random jump fields. Zbl 1090.60057
Øksendal, Bernt; Proske, Frank; Zhang, Tusheng
2005
Small time asymptotics for Fleming-Viot processes. Zbl 1080.60504
Xiang, Kai-Nan; Zhang, Tu-Sheng
2005
Absolute continuity of symmetric Markov processes. Zbl 1053.60084
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S.
2004
General fractional multiparameter white noise theory and stochastic partial differential equations. Zbl 1067.35161
Hu, Yaozhong; Øksendal, Bernt; Zhang, Tusheng
2004
Convergence of symmetric diffusions on Wiener spaces. Zbl 1065.60111
Posilicano, A.; Zhang, T. S.
2004
A class of stochastic differential equations with non-Lipschitzian coefficients: Pathwise uniqueness and no explosion. Zbl 1031.60051
Fang, Shizan; Zhang, Tusheng
2003
Lower order perturbations of Dirichlet processes. Zbl 1021.60058
Röckner, M.; Zhang, T. S.
2003
A comparison theorem for solutions of backward stochastic differential equations with two reflecting barriers and its applications. Zbl 1062.60058
Zhang, T. S.
2003
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
2002
Local times of fractional Brownian sheets. Zbl 1009.60024
Xiao, Yimin; Zhang, Tusheng
2002
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
Aida, Shigeki; Zhang, Tusheng
2002
...and 46 more Documents
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### Cited by 1,442 Authors

 92 Zhang, Tusheng S. 32 Øksendal, Bernt Karsten 31 Röckner, Michael 29 Chen, Zhen-Qing 27 Yan, Litan 22 Wang, Feng-Yu 22 Xie, Yingchao 19 Zhai, Jianliang 18 Proske, Frank Norbert 17 Liu, Wei 15 Kuwae, Kazuhiro 15 Zhang, Xicheng 14 Wang, Ran 13 Hu, Yaozhong 12 Albeverio, Sergio A. 12 Duan, Jinqiao 12 Wu, Fuke 11 Gao, Hongjun 11 Luo, Dejun 11 Menoukeu Pamen, Olivier 11 Sun, Wei 11 Xiao, Yimin 11 Xiong, Jie 11 Yang, Xue 11 Yuan, Chenggui 10 Alpay, Daniel Aron 10 Inahama, Yuzuru 10 Lanconelli, Alberto 10 Wang, Yongjin 9 Dong, Zhao 9 Fang, Shizan 9 Fitzsimmons, Patrick J. 9 Meyer-Brandis, Thilo 9 Tachim Medjo, Theodore 9 Ubøe, Jan 9 Xu, Lihu 9 Zhao, Huaizhong 8 Agram, Nacira 8 Friz, Peter Karl 8 Hairer, Martin 8 Huang, Jianhua 8 Jiang, Yiming 8 Kondrat’yev, Yuriĭ Grygorovych 8 Li, Shihu 8 Li, Yumeng 8 Nualart, David 8 Seleši, Dora 8 Shen, Guangjun 8 Takeda, Masayoshi 8 Wu, Jianglun 8 Xie, Bin 8 Yin, Xiuwei 8 Zeng, Caibin 8 Zhang, Rangrang 7 Aida, Shigeki 7 Baños, David R. 7 Bo, Lijun 7 Brzeźniak, Zdzisław 7 Chen, Zhenlong 7 Hu, Shigeng 7 Kim, Daehong 7 Levajković, Tijana 7 Liu, Junfeng 7 Lu, Kening 7 Lv, Guangying 7 Matoussi, Anis 7 Neamţu, Alexandra 7 Priola, Enrico 7 Rozovskii, Boris L. 7 Wei, Jinlong 7 Wu, Dongsheng 7 Yang, Juan 6 Bao, Jianhai 6 Chen, Bin 6 Cui, Jing 6 Fan, Xiliang 6 Hausenblas, Erika 6 Holden, Helge 6 Leonenko, Nikolai N. 6 Liang, Zongxia 6 Ma, Zhi-Ming 6 Maslowski, Bohdan 6 Melnikova, Irina V. 6 Mohammed, Salah-Eldin A. 6 Mohan, Manil Thankamani 6 Russo, Francesco 6 Shi, KeHua 6 Sun, Xichao 5 Bonaccorsi, Stefano 5 Chen, Chuanzhong 5 Deugoue, Gabriel 5 Hinz, Michael 5 Hong, Wei 5 Huang, Chengming 5 Lindstrøm, Tom L. 5 Lototsky, Sergey V. 5 Mao, Xuerong 5 Nilssen, Torstein K. 5 Pei, Bin 5 Pilipović, Stevan ...and 1,342 more Authors
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### Cited in 268 Serials

 100 Stochastic Processes and their Applications 59 Journal of Functional Analysis 50 The Annals of Probability 49 Potential Analysis 48 Stochastic Analysis and Applications 45 Stochastics and Dynamics 44 Journal of Mathematical Analysis and Applications 44 Journal of Differential Equations 35 Journal of Theoretical Probability 32 Statistics & Probability Letters 27 Infinite Dimensional Analysis, Quantum Probability and Related Topics 26 Stochastics 23 Probability Theory and Related Fields 21 Bernoulli 21 Advances in Difference Equations 20 Applied Mathematics and Optimization 18 Journal of Mathematical Physics 17 Science China. Mathematics 16 Journal of Computational and Applied Mathematics 14 Chaos, Solitons and Fractals 14 Discrete and Continuous Dynamical Systems. Series B 14 Frontiers of Mathematics in China 13 Transactions of the American Mathematical Society 13 Bulletin des Sciences Mathématiques 13 Abstract and Applied Analysis 13 Acta Mathematica Sinica. English Series 13 Journal of Evolution Equations 11 Acta Applicandae Mathematicae 10 Journal of Optimization Theory and Applications 10 Proceedings of the American Mathematical Society 10 Acta Mathematicae Applicatae Sinica. English Series 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Mathematical Control and Related Fields 10 Stochastic and Partial Differential Equations. Analysis and Computations 9 Journal of Statistical Physics 8 Advances in Applied Probability 8 SIAM Journal on Control and Optimization 8 Systems & Control Letters 8 Discrete and Continuous Dynamical Systems 7 Tohoku Mathematical Journal. Second Series 7 The Annals of Applied Probability 7 Electronic Journal of Probability 7 Communications on Pure and Applied Analysis 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Chinese Annals of Mathematics. Series B 6 Fractional Calculus & Applied Analysis 6 Quantitative Finance 6 Journal of Systems Science and Complexity 6 International Journal of Stochastic Analysis 5 Computers & Mathematics with Applications 5 Applied Mathematics and Computation 5 Journal of Applied Probability 5 Osaka Journal of Mathematics 5 Theory of Probability and Mathematical Statistics 5 Journal of Inequalities and Applications 5 Differential Equations 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mediterranean Journal of Mathematics 5 Mathematics and Financial Economics 5 Afrika Matematika 5 AIMS Mathematics 4 Communications in Mathematical Physics 4 Computer Methods in Applied Mechanics and Engineering 4 Physics Letters. A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Automatica 4 BIT 4 Czechoslovak Mathematical Journal 4 Journal of the Mathematical Society of Japan 4 Forum Mathematicum 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Methodology and Computing in Applied Probability 4 Communications in Mathematics and Statistics 3 International Journal of Control 3 Journal of Computational Physics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Integral Equations and Operator Theory 3 Mathematische Annalen 3 Nagoya Mathematical Journal 3 Quarterly of Applied Mathematics 3 Journal of Scientific Computing 3 Science in China. Series A 3 Communications in Partial Differential Equations 3 Stochastics and Stochastics Reports 3 Journal of Dynamics and Differential Equations 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Random Operators and Stochastic Equations 3 The Journal of Fourier Analysis and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Nonlinear Dynamics 3 International Journal of Theoretical and Applied Finance 3 Journal of Mathematical Fluid Mechanics 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Advances in Mathematical Physics 3 Carpathian Mathematical Publications 3 SIAM/ASA Journal on Uncertainty Quantification ...and 168 more Serials
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### Cited in 51 Fields

 1,265 Probability theory and stochastic processes (60-XX) 406 Partial differential equations (35-XX) 131 Systems theory; control (93-XX) 116 Ordinary differential equations (34-XX) 96 Numerical analysis (65-XX) 93 Dynamical systems and ergodic theory (37-XX) 87 Operator theory (47-XX) 85 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 83 Potential theory (31-XX) 61 Fluid mechanics (76-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 44 Functional analysis (46-XX) 35 Statistical mechanics, structure of matter (82-XX) 34 Global analysis, analysis on manifolds (58-XX) 34 Statistics (62-XX) 30 Biology and other natural sciences (92-XX) 26 Real functions (26-XX) 25 Measure and integration (28-XX) 20 Integral equations (45-XX) 20 Quantum theory (81-XX) 12 Operations research, mathematical programming (90-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Functions of a complex variable (30-XX) 7 Geophysics (86-XX) 6 Computer science (68-XX) 5 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)