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Qian, Zhongmin M.

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Author ID: qian.zhongmin-m Recent zbMATH articles by "Qian, Zhongmin M."
Published as: Qian, Z.; Qian, Z. M.; Qian, Zhongmin; Qian, Zhongmin M.
Homepage: https://www.maths.ox.ac.uk/people/zhongmin.qian
External Links: MGP · Wikidata · dblp
Documents Indexed: 63 Publications since 1991, including 1 Book

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 873 times in 632 Documents Cited by Year
System control and rough paths. Zbl 1029.93001
Lyons, Terry; Qian, Zhongmin
218
2002
Stochastic analysis, rough path analysis and fractional Brownian motions. Zbl 1047.60029
Coutin, Laure; Qian, Zhongmin
123
2002
Estimates for weighted volumes and applications. Zbl 0902.53032
Qian, Zhongmin
86
1997
Some new results on eigenvectors via dimension, diameter, and Ricci curvature. Zbl 0980.58020
Bakry, Dominique; Qian, Zhongmin
58
2000
Volume comparison theorems without Jacobi fields. Zbl 1212.58019
Bakry, Dominique; Qian, Zhongmin
49
2005
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
41
2002
Harnack inequalities on a manifold with positive or negative Ricci curvature. Zbl 0924.58096
Bakry, Dominique; Qian, Zhongmin M.
38
1999
Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071
Ledoux, M.; Lyons, T.; Qian, Z.
22
2002
Sharp spectral gap and Li-Yau’s estimate on Alexandrov spaces. Zbl 1278.53077
Qian, Zhongmin; Zhang, Hui-Chun; Zhu, Xi-Ping
18
2013
Existence of solutions to a class of indefinite stochastic Riccati equations. Zbl 1266.60107
Qian, Zhongmin; Zhou, Xun Yu
15
2013
Flow of diffeomorphisms induced by a geometric multiplicative functional. Zbl 0918.60009
Lyons, Terry; Qian, Zhongmin
13
1998
Backward stochastic dynamics on a filtered probability space. Zbl 1238.60064
Liang, Gechun; Lyons, Terry; Qian, Zhongmin
12
2011
A representation formula for transition probability densities of diffusions and applications. Zbl 1070.60072
Qian, Zhongmin; Zheng, Weian
12
2004
A comparison theorem for an elliptic operator. Zbl 0930.58012
Qian, Zhongmin
10
1998
A gradient estimate on a manifold with convex boundary. Zbl 0885.58086
Qian, Zhongmin
10
1997
On conservation of probability and the Feller property. Zbl 0854.60080
Qian, Zhongmin
10
1996
Gradient estimates and heat kernel estimates. Zbl 0863.58064
Qian, Zhongmin
10
1995
The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries. Zbl 1212.35346
Chen, Guiqiang; Dan, Osborne; Qian, Zhongmin
9
2009
Comparison theorem and estimates for transition probability densities of diffusion processes. Zbl 1050.60061
Qian, Zhongmin; Russo, Francesco; Zheng, Weian
9
2003
Stochastic differential equations for fractional Brownian motions. Zbl 0981.60040
Coutin, Laure; Qian, Zhongmin
9
2000
A class of vector fields on path spaces. Zbl 0877.58059
Lyons, T. J.; Qian, Z. M.
9
1997
A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions. Zbl 1206.35193
Chen, Gui-Qiang; Qian, Zhongmin
8
2010
Sharp bounds for transition probability densities of a class of diffusions. Zbl 1015.60069
Qian, Zhongmin; Zheng, Weian
8
2002
Stochastic Jacobi fields and vector fields induced by varying area on path spaces. Zbl 0903.60008
Lyons, Terry; Qian, Zhongmin
8
1997
Flow equations on spaces of rough paths. Zbl 0890.58090
Lyons, Terry; Qian, Zhongmin
8
1997
Stability and approximations of symmetric diffusion semigroups and kernels. Zbl 0907.47036
Chen, Zhen-Qing; Qian, Zhongmin; Hu, Yaozhong; Zheng, Weian
7
1998
Stratonovich’s signatures of Brownian motion determine Brownian sample paths. Zbl 1291.60110
Le Jan, Yves; Qian, Zhongmin
6
2013
Uniqueness of signature for simple curves. Zbl 1294.60063
Boedihardjo, Horatio; Ni, Hao; Qian, Zhongmin
5
2014
On an inversion theorem for Stratonovich’s signatures of multidimensional diffusion paths. Zbl 1333.60171
Geng, X.; Qian, Z.
4
2016
On Harnack estimates for positive solutions of the heat equation on a complete manifold. Zbl 0903.58053
Bakry, Dominique; Qian, Zhongmin
4
1997
Backward problems for stochastic differential equations on the Sierpinski gasket. Zbl 1401.28014
Liu, Xuan; Qian, Zhongmin
3
2018
\(G\)-Brownian motion as rough paths and differential equations driven by \(G\)-Brownian motion. Zbl 1390.60205
Geng, Xi; Qian, Zhongmin; Yang, Danyu
3
2014
Backward stochastic differential equations associated with the vorticity equations. Zbl 1296.60145
Cruzeiro, A. B.; Qian, Z. M.
3
2014
Non-linear evolution equations driven by rough paths. Zbl 1280.35086
Cass, Thomas; Qian, Zhongmin; Tudor, Jan
3
2012
Calculus for multiplicative functionals, Itô’s formula and differential equations. Zbl 0862.60043
Lyons, T. J.; Qian, Z. M.
3
1996
Aronson’s estimates and conditional diffusion processes. Zbl 0811.58066
Qian, Zhongmin; Wei, Guoqiang
3
1994
Parabolic equations with singular divergence-free drift vector fields. Zbl 1423.35139
Qian, Zhongmin; Xi, Guangyu
2
2019
Quasi-sure existence of Gaussian rough paths and large deviation principles for capacities. Zbl 1362.60038
Boedihardjo, H.; Geng, X.; Qian, Z.
2
2016
Differential structure and flow equations on rough path space. Zbl 1229.60072
Qian, Zhongmin; Tudor, Jan
2
2011
Holomorphic Dirichlet forms on complex manifolds. Zbl 1065.53057
Gross, Leonard; Qian, Zhongmin
2
2004
Parabolic equations with divergence-free drift in space \(L_t^\ell L_x^q\). Zbl 1423.35142
Qian, Zhongmin; Xi, Guangyu
1
2019
Reflected backward stochastic differential equations with resistance. Zbl 1391.60144
Qian, Zhongmin; Xu, Mingyu
1
2018
BMO martingales and positive solutions of heat equations. Zbl 1336.60131
Hu, Ying; Qian, Zhongmin
1
2015
Martingale representations for diffusion processes and backward stochastic differential equations. Zbl 1254.60064
Qian, Zhongmin; Ying, Jiangang
1
2012
An estimate for the vorticity of the Navier-Stokes equation. Zbl 1155.35070
Qian, Zhongmin
1
2009
Dirichlet forms and Markov semigroups on non-associative vector bundles. Zbl 1203.31014
Chu, Cho-Ho; Qian, Zhongmin
1
2008
Large deviation property for Riemannian Brownian motion on a complete manifold. Zbl 0780.58048
Qian, Zhongmin
1
1993
Large deviations for symmetric diffusion processes. Zbl 0761.60024
Qian, Zhongmin; Wei, Guoqiang
1
1992
Parabolic equations with singular divergence-free drift vector fields. Zbl 1423.35139
Qian, Zhongmin; Xi, Guangyu
2
2019
Parabolic equations with divergence-free drift in space \(L_t^\ell L_x^q\). Zbl 1423.35142
Qian, Zhongmin; Xi, Guangyu
1
2019
Backward problems for stochastic differential equations on the Sierpinski gasket. Zbl 1401.28014
Liu, Xuan; Qian, Zhongmin
3
2018
Reflected backward stochastic differential equations with resistance. Zbl 1391.60144
Qian, Zhongmin; Xu, Mingyu
1
2018
On an inversion theorem for Stratonovich’s signatures of multidimensional diffusion paths. Zbl 1333.60171
Geng, X.; Qian, Z.
4
2016
Quasi-sure existence of Gaussian rough paths and large deviation principles for capacities. Zbl 1362.60038
Boedihardjo, H.; Geng, X.; Qian, Z.
2
2016
BMO martingales and positive solutions of heat equations. Zbl 1336.60131
Hu, Ying; Qian, Zhongmin
1
2015
Uniqueness of signature for simple curves. Zbl 1294.60063
Boedihardjo, Horatio; Ni, Hao; Qian, Zhongmin
5
2014
\(G\)-Brownian motion as rough paths and differential equations driven by \(G\)-Brownian motion. Zbl 1390.60205
Geng, Xi; Qian, Zhongmin; Yang, Danyu
3
2014
Backward stochastic differential equations associated with the vorticity equations. Zbl 1296.60145
Cruzeiro, A. B.; Qian, Z. M.
3
2014
Sharp spectral gap and Li-Yau’s estimate on Alexandrov spaces. Zbl 1278.53077
Qian, Zhongmin; Zhang, Hui-Chun; Zhu, Xi-Ping
18
2013
Existence of solutions to a class of indefinite stochastic Riccati equations. Zbl 1266.60107
Qian, Zhongmin; Zhou, Xun Yu
15
2013
Stratonovich’s signatures of Brownian motion determine Brownian sample paths. Zbl 1291.60110
Le Jan, Yves; Qian, Zhongmin
6
2013
Non-linear evolution equations driven by rough paths. Zbl 1280.35086
Cass, Thomas; Qian, Zhongmin; Tudor, Jan
3
2012
Martingale representations for diffusion processes and backward stochastic differential equations. Zbl 1254.60064
Qian, Zhongmin; Ying, Jiangang
1
2012
Backward stochastic dynamics on a filtered probability space. Zbl 1238.60064
Liang, Gechun; Lyons, Terry; Qian, Zhongmin
12
2011
Differential structure and flow equations on rough path space. Zbl 1229.60072
Qian, Zhongmin; Tudor, Jan
2
2011
A study of the Navier-Stokes equations with the kinematic and Navier boundary conditions. Zbl 1206.35193
Chen, Gui-Qiang; Qian, Zhongmin
8
2010
The Navier-Stokes equations with the kinematic and vorticity boundary conditions on non-flat boundaries. Zbl 1212.35346
Chen, Guiqiang; Dan, Osborne; Qian, Zhongmin
9
2009
An estimate for the vorticity of the Navier-Stokes equation. Zbl 1155.35070
Qian, Zhongmin
1
2009
Dirichlet forms and Markov semigroups on non-associative vector bundles. Zbl 1203.31014
Chu, Cho-Ho; Qian, Zhongmin
1
2008
Volume comparison theorems without Jacobi fields. Zbl 1212.58019
Bakry, Dominique; Qian, Zhongmin
49
2005
A representation formula for transition probability densities of diffusions and applications. Zbl 1070.60072
Qian, Zhongmin; Zheng, Weian
12
2004
Holomorphic Dirichlet forms on complex manifolds. Zbl 1065.53057
Gross, Leonard; Qian, Zhongmin
2
2004
Comparison theorem and estimates for transition probability densities of diffusion processes. Zbl 1050.60061
Qian, Zhongmin; Russo, Francesco; Zheng, Weian
9
2003
System control and rough paths. Zbl 1029.93001
Lyons, Terry; Qian, Zhongmin
218
2002
Stochastic analysis, rough path analysis and fractional Brownian motions. Zbl 1047.60029
Coutin, Laure; Qian, Zhongmin
123
2002
Large deviations and support theorem for diffusion processes via rough paths. Zbl 1075.60510
Ledoux, M.; Qian, Z.; Zhang, T.
41
2002
Lévy area of Wiener processes in Banach spaces. Zbl 1016.60071
Ledoux, M.; Lyons, T.; Qian, Z.
22
2002
Sharp bounds for transition probability densities of a class of diffusions. Zbl 1015.60069
Qian, Zhongmin; Zheng, Weian
8
2002
Some new results on eigenvectors via dimension, diameter, and Ricci curvature. Zbl 0980.58020
Bakry, Dominique; Qian, Zhongmin
58
2000
Stochastic differential equations for fractional Brownian motions. Zbl 0981.60040
Coutin, Laure; Qian, Zhongmin
9
2000
Harnack inequalities on a manifold with positive or negative Ricci curvature. Zbl 0924.58096
Bakry, Dominique; Qian, Zhongmin M.
38
1999
Flow of diffeomorphisms induced by a geometric multiplicative functional. Zbl 0918.60009
Lyons, Terry; Qian, Zhongmin
13
1998
A comparison theorem for an elliptic operator. Zbl 0930.58012
Qian, Zhongmin
10
1998
Stability and approximations of symmetric diffusion semigroups and kernels. Zbl 0907.47036
Chen, Zhen-Qing; Qian, Zhongmin; Hu, Yaozhong; Zheng, Weian
7
1998
Estimates for weighted volumes and applications. Zbl 0902.53032
Qian, Zhongmin
86
1997
A gradient estimate on a manifold with convex boundary. Zbl 0885.58086
Qian, Zhongmin
10
1997
A class of vector fields on path spaces. Zbl 0877.58059
Lyons, T. J.; Qian, Z. M.
9
1997
Stochastic Jacobi fields and vector fields induced by varying area on path spaces. Zbl 0903.60008
Lyons, Terry; Qian, Zhongmin
8
1997
Flow equations on spaces of rough paths. Zbl 0890.58090
Lyons, Terry; Qian, Zhongmin
8
1997
On Harnack estimates for positive solutions of the heat equation on a complete manifold. Zbl 0903.58053
Bakry, Dominique; Qian, Zhongmin
4
1997
On conservation of probability and the Feller property. Zbl 0854.60080
Qian, Zhongmin
10
1996
Calculus for multiplicative functionals, Itô’s formula and differential equations. Zbl 0862.60043
Lyons, T. J.; Qian, Z. M.
3
1996
Gradient estimates and heat kernel estimates. Zbl 0863.58064
Qian, Zhongmin
10
1995
Aronson’s estimates and conditional diffusion processes. Zbl 0811.58066
Qian, Zhongmin; Wei, Guoqiang
3
1994
Large deviation property for Riemannian Brownian motion on a complete manifold. Zbl 0780.58048
Qian, Zhongmin
1
1993
Large deviations for symmetric diffusion processes. Zbl 0761.60024
Qian, Zhongmin; Wei, Guoqiang
1
1992
all top 5

Cited by 588 Authors

33 Friz, Peter Karl
22 Qian, Zhongmin M.
20 Tindel, Samy
20 Wang, Linfeng
15 Hairer, Martin
15 Lyons, Terence John
14 Nualart, David
13 Gubinelli, Massimiliano
13 Inahama, Yuzuru
13 Wang, Feng-Yu
11 Deya, Aurélien
11 Wu, Jiayong
10 Baudoin, Fabrice
10 Victoir, Nicolas B.
9 Lejay, Antoine
9 Li, Xiang-Dong
9 Ohta, Shin-ichi
9 Riedel, Sebastian
9 Russo, Francesco
8 Cass, Thomas Richard
8 Geng, Xi
8 Hu, Yaozhong
8 Nourdin, Ivan
8 Oberhauser, Harald
8 Unterberger, Jérémie M.
7 Bailleul, Ismaël F.
7 Boedihardjo, Horatio
7 Coutin, Laure
7 Fan, Xiliang
7 Milman, Emanuel
7 Neustupa, Jiří
7 Ouyang, Cheng
7 Schmalfuß, Björn
6 Aida, Shigeki
6 Diehl, Joscha
6 Garrido-Atienza, María José
6 Neuenkirch, Andreas
6 Ruan, Qihua
6 Tudor, Ciprian A.
6 Zhang, Huichun
5 Kuwada, Kazumasa
5 Liu, Xuan
5 Penel, Patrick
5 Rigoli, Marco
5 Rimoldi, Michele
5 Rovira, Carles
4 Case, Jeffrey S.
4 Catellier, Rémi
4 Hu, Ying
4 Jiang, Renjin
4 Kolesnikov, Alexander V.
4 Ledoux, Michel
4 Marie, Nicolas
4 Mastrolia, Paolo
4 Saussereau, Bruno
4 Sturm, Karl-Theodor
4 Wylie, William C.
4 Yu, Zhiyong
4 Zheng, Weian
4 Zhu, Meng
3 Barros, Abdênago A.
3 Besalú, Mireia
3 Brault, Antoine
3 Coulhon, Thierry
3 Driver, Bruce K.
3 Duc, Luu Hoang
3 Gess, Benjamin
3 Huang, Guangyue
3 Huang, Jiacheng
3 Ito, Yu
3 León, Jorge A.
3 Li, Haizhong
3 Li, Na
3 Li, Xue-Mei
3 Litterer, Christian
3 Marty, Renaud
3 Prömel, David J.
3 Qian, Bin
3 Ribeiro, Ernani jun.
3 Rosales, César
3 Sakurai, Yohei
3 Schott, René
3 Setti, Alberto G.
3 Weber, Hendrik
3 Wei, Guofang
3 Xia, Qiaoling
3 Yang, Danyu
3 Yang, Xiangfeng
3 Zhang, Liangdi
3 Zhang, Qisheng
3 Zhao, Huaizhong
2 Amaba, Takafumi
2 Andrews, Ben
2 Arnaudon, Marc
2 Bakry, Dominique
2 Bass, Richard F.
2 Bensoussan, Alain
2 Bessaih, Hakima
2 Bianchi, Annamaria
2 Boufoussi, Brahim
...and 488 more Authors
all top 5

Cited in 151 Serials

47 Stochastic Processes and their Applications
44 Journal of Functional Analysis
29 The Annals of Probability
22 Journal of Mathematical Analysis and Applications
22 The Journal of Geometric Analysis
19 Journal of Differential Equations
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Probability Theory and Related Fields
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 Transactions of the American Mathematical Society
12 Potential Analysis
11 Proceedings of the American Mathematical Society
10 Stochastic Analysis and Applications
10 Bernoulli
9 Calculus of Variations and Partial Differential Equations
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Advances in Mathematics
8 Statistics & Probability Letters
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Bulletin des Sciences Mathématiques
8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
8 Stochastics and Dynamics
8 Science China. Mathematics
7 SIAM Journal on Control and Optimization
7 Annals of Global Analysis and Geometry
7 Differential Geometry and its Applications
6 Journal of Theoretical Probability
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Acta Mathematica Sinica. English Series
6 Stochastics
6 Frontiers of Mathematics in China
5 Mathematische Zeitschrift
5 Electronic Journal of Probability
5 Analysis and Geometry in Metric Spaces
4 Communications in Mathematical Physics
4 Communications on Pure and Applied Mathematics
4 Applied Mathematics and Optimization
4 Archiv der Mathematik
4 Journal of the Mathematical Society of Japan
4 Mathematische Annalen
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Acta Mathematicae Applicatae Sinica. English Series
4 Science in China. Series A
4 The Annals of Applied Probability
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Journal of Geometry and Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Geometriae Dedicata
3 Results in Mathematics
3 Tohoku Mathematical Journal. Second Series
3 Chinese Annals of Mathematics. Series B
3 Revista Matemática Iberoamericana
3 Annales Mathématiques Blaise Pascal
3 Journal of Mathematical Fluid Mechanics
3 Annals of Mathematics. Second Series
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Stochastic Analysis
2 General Relativity and Gravitation
2 Mathematical Methods in the Applied Sciences
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Automatica
2 Canadian Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of Statistical Planning and Inference
2 Proceedings of the London Mathematical Society. Third Series
2 SIAM Journal on Numerical Analysis
2 Systems & Control Letters
2 Journal of Dynamics and Differential Equations
2 Kyushu Journal of Mathematics
2 Discrete and Continuous Dynamical Systems
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Chaos
2 Statistical Inference for Stochastic Processes
2 Journal of Dynamical and Control Systems
2 Communications in Contemporary Mathematics
2 Annales Henri Poincaré
2 Journal of Evolution Equations
2 SIAM Journal on Financial Mathematics
2 Analysis and Mathematical Physics
2 Forum of Mathematics, Sigma
1 Analysis Mathematica
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Lithuanian Mathematical Journal
1 Physics Letters. B
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 Collectanea Mathematica
1 Commentationes Mathematicae Universitatis Carolinae
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Applied Probability
1 Journal of Computational and Applied Mathematics
1 Journal of Geometry
1 Journal of Optimization Theory and Applications
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
...and 51 more Serials
all top 5

Cited in 45 Fields

362 Probability theory and stochastic processes (60-XX)
162 Differential geometry (53-XX)
144 Global analysis, analysis on manifolds (58-XX)
140 Partial differential equations (35-XX)
44 Ordinary differential equations (34-XX)
28 Real functions (26-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
28 Systems theory; control (93-XX)
24 Functional analysis (46-XX)
21 Statistics (62-XX)
20 Numerical analysis (65-XX)
19 Fluid mechanics (76-XX)
17 Operator theory (47-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Measure and integration (28-XX)
8 Quantum theory (81-XX)
7 Functions of a complex variable (30-XX)
6 Potential theory (31-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Combinatorics (05-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Nonassociative rings and algebras (17-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Difference and functional equations (39-XX)
4 Convex and discrete geometry (52-XX)
3 Algebraic geometry (14-XX)
3 Associative rings and algebras (16-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
3 Information and communication theory, circuits (94-XX)
2 Topological groups, Lie groups (22-XX)
2 Geometry (51-XX)
2 Mechanics of deformable solids (74-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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