## Liao, Ming

Compute Distance To:
 Author ID: liao.ming Published as: Liao, Ming; Liao, M.; Ming, Liao more...less Homepage: http://www.auburn.edu/cosam/faculty/math_stats/liao/index.htm External Links: MGP · Math-Net.Ru
 Documents Indexed: 55 Publications since 1984, including 3 Books Co-Authors: 13 Co-Authors with 18 Joint Publications 340 Co-Co-Authors
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### Co-Authors

 36 single-authored 5 Wang, Longmin 4 Tam, Tin-Yau 3 Wu, Rong 1 Chung, Kai Lai 1 Flick, Allen 1 Gan, Luyining 1 Glover, Joseph 1 Guo, Yong 1 Hughes, Harry Randolph 1 Li, Chunming 1 Liu, Xuhua 1 Pinsky, Mark Allan 1 Rao, Murali 1 Zheng, Weian
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### Serials

 6 The Annals of Probability 4 Journal of Theoretical Probability 3 Transactions of the American Mathematical Society 2 Statistics & Probability Letters 2 Probability Theory and Related Fields 2 Stochastic Processes and their Applications 2 Acta Mathematica Sinica. New Series 2 Stochastics and Stochastics Reports 2 Potential Analysis 2 Journal of Lie Theory 2 Stochastics and Dynamics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Advances in Mathematics 1 Chinese Journal of Applied Probability and Statistics 1 Differential Geometry and its Applications 1 Notices of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Communications in Probability 1 Theory of Stochastic Processes 1 Iranian Journal of Fuzzy Systems 1 Cambridge Tracts in Mathematics 1 Science China. Mathematics 1 Scientia Sinica. Mathematica
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### Fields

 48 Probability theory and stochastic processes (60-XX) 25 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 5 Topological groups, Lie groups (22-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 1 Real functions (26-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 133 times in 99 Documents Cited by Year
Lévy processes in Lie groups. Zbl 1076.60004
Liao, Ming
2004
Lévy-Khinchin formula and existence of densities for convolution semigroups on symmetric spaces. Zbl 1127.58032
Liao, Ming; Wang, Longmin
2007
Symmetry groups of Markov processes. Zbl 0755.60061
Liao, Ming
1992
A decomposition of Markov processes via group actions. Zbl 1160.60328
Liao, Ming
2009
The Dirichlet problem of a discontinuous Markov process. Zbl 0778.60053
Liao, Ming
1989
Hitting distributions of small geodesic spheres. Zbl 0651.58037
Liao, Ming
1988
Radial part of Brownian motion on a Riemannian manifold. Zbl 0834.58038
Liao, M.; Zheng, W. A.
1995
Stochastic flows on the boundaries of Lie groups. Zbl 0754.60016
Liao, Ming
1992
Lévy processes and Fourier analysis on compact Lie groups. Zbl 1054.60003
Liao, Ming
2004
Invariant Markov processes under Lie group actions. Zbl 1460.60001
Liao, Ming
2018
Inhomogeneous Lévy processes in Lie groups and homogeneous spaces. Zbl 1302.60075
Liao, Ming
2014
Riesz representation and duality of Markov processes. Zbl 0561.60075
Liao, Ming
1985
Average under the Iwasawa transformation. Zbl 1171.22011
Liao, Ming; Wang, Longmin
2007
Random motion of a rigid body. Zbl 0876.60032
Liao, Ming
1997
Decomposition of stochastic flows and Lyapunov exponents. Zbl 0970.58021
Liao, Ming
2000
Lévy processes in semisimple Lie groups and stability of stochastic flows. Zbl 0909.60061
Liao, Ming
1998
A geometric mean for symmetric spaces of noncompact type. Zbl 1331.15011
Liao, Ming; Liu, Xuhua; Tam, Tin-Yau
2014
Factorization of diffusions on fibre bundles. Zbl 0682.58051
Liao, Ming
1989
Motion of a rigid body under random perturbation. Zbl 1111.60052
Liao, Ming; Wang, Longmin
2005
Isotropic self-similar Markov processes. Zbl 1227.60097
Liao, Ming; Wang, Longmin
2011
The existence of isometric stochastic flows for Riemannian Brownian motions. Zbl 0753.58035
Liao, Ming
1992
Markov processes invariant under a Lie group action. Zbl 1161.60327
Liao, Ming
2009
Stochastic flows on the boundaries of $$\text{SL}(n,\mathbb{R})$$. Zbl 0791.58110
Liao, Ming
1993
Invariant diffusion processes in Lie groups and stochastic flows. Zbl 0839.58065
Liao, Ming
1995
The Brownian motion and the canonical stochastic flow on a symmetric space. Zbl 0798.58082
Liao, Ming
1994
Lyapunov exponents of stochastic flows. Zbl 0921.58070
Liao, Ming
1997
Stable manifolds for stochastic flows induced by Lévy processes on Lie groups. Zbl 1018.58029
Liao, Ming
2001
Dynamical properties of Lévy processes in Lie groups. Zbl 1002.58017
Liao, Ming
2002
Convolution of probability measures on Lie groups and homogenous spaces. Zbl 1368.60009
Liao, Ming
2015
Limiting properties of Lévy processes in symmetric spaces of noncompact type. Zbl 1255.60075
Liao, Ming; Wang, Longmin
2012
Weight distribution of Iwasawa projection. Zbl 1371.22016
Liao, Ming; Tam, Tin-Yau
2017
Markov processes and group actions. Zbl 1374.60143
Liao, Ming
2016
The uniqueness of invariant measures of spatial homogeneous processes. Zbl 0635.60087
Liao, Ming; Wu, Rong
1987
The equilibrium measure and the last-exit distribution. Zbl 1001.60511
Li, Chunming; Wu, Rong; Liao, Ming
1993
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046
Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S.
2020
Applied stochastic processes. Zbl 1281.60001
Liao, Ming
2014
Joint influence of leakage delays and proportional delays on almost periodic solutions for FCNNs. Zbl 1429.34046
Xu, C.; Liao, M.; Li, P.; Guo, Yong; Yuan, S.
2020
Invariant Markov processes under Lie group actions. Zbl 1460.60001
Liao, Ming
2018
Weight distribution of Iwasawa projection. Zbl 1371.22016
Liao, Ming; Tam, Tin-Yau
2017
Markov processes and group actions. Zbl 1374.60143
Liao, Ming
2016
Convolution of probability measures on Lie groups and homogenous spaces. Zbl 1368.60009
Liao, Ming
2015
Inhomogeneous Lévy processes in Lie groups and homogeneous spaces. Zbl 1302.60075
Liao, Ming
2014
A geometric mean for symmetric spaces of noncompact type. Zbl 1331.15011
Liao, Ming; Liu, Xuhua; Tam, Tin-Yau
2014
Applied stochastic processes. Zbl 1281.60001
Liao, Ming
2014
Limiting properties of Lévy processes in symmetric spaces of noncompact type. Zbl 1255.60075
Liao, Ming; Wang, Longmin
2012
Isotropic self-similar Markov processes. Zbl 1227.60097
Liao, Ming; Wang, Longmin
2011
A decomposition of Markov processes via group actions. Zbl 1160.60328
Liao, Ming
2009
Markov processes invariant under a Lie group action. Zbl 1161.60327
Liao, Ming
2009
Lévy-Khinchin formula and existence of densities for convolution semigroups on symmetric spaces. Zbl 1127.58032
Liao, Ming; Wang, Longmin
2007
Average under the Iwasawa transformation. Zbl 1171.22011
Liao, Ming; Wang, Longmin
2007
Motion of a rigid body under random perturbation. Zbl 1111.60052
Liao, Ming; Wang, Longmin
2005
Lévy processes in Lie groups. Zbl 1076.60004
Liao, Ming
2004
Lévy processes and Fourier analysis on compact Lie groups. Zbl 1054.60003
Liao, Ming
2004
Dynamical properties of Lévy processes in Lie groups. Zbl 1002.58017
Liao, Ming
2002
Stable manifolds for stochastic flows induced by Lévy processes on Lie groups. Zbl 1018.58029
Liao, Ming
2001
Decomposition of stochastic flows and Lyapunov exponents. Zbl 0970.58021
Liao, Ming
2000
Lévy processes in semisimple Lie groups and stability of stochastic flows. Zbl 0909.60061
Liao, Ming
1998
Random motion of a rigid body. Zbl 0876.60032
Liao, Ming
1997
Lyapunov exponents of stochastic flows. Zbl 0921.58070
Liao, Ming
1997
Radial part of Brownian motion on a Riemannian manifold. Zbl 0834.58038
Liao, M.; Zheng, W. A.
1995
Invariant diffusion processes in Lie groups and stochastic flows. Zbl 0839.58065
Liao, Ming
1995
The Brownian motion and the canonical stochastic flow on a symmetric space. Zbl 0798.58082
Liao, Ming
1994
Stochastic flows on the boundaries of $$\text{SL}(n,\mathbb{R})$$. Zbl 0791.58110
Liao, Ming
1993
The equilibrium measure and the last-exit distribution. Zbl 1001.60511
Li, Chunming; Wu, Rong; Liao, Ming
1993
Symmetry groups of Markov processes. Zbl 0755.60061
Liao, Ming
1992
Stochastic flows on the boundaries of Lie groups. Zbl 0754.60016
Liao, Ming
1992
The existence of isometric stochastic flows for Riemannian Brownian motions. Zbl 0753.58035
Liao, Ming
1992
The Dirichlet problem of a discontinuous Markov process. Zbl 0778.60053
Liao, Ming
1989
Factorization of diffusions on fibre bundles. Zbl 0682.58051
Liao, Ming
1989
Hitting distributions of small geodesic spheres. Zbl 0651.58037
Liao, Ming
1988
The uniqueness of invariant measures of spatial homogeneous processes. Zbl 0635.60087
Liao, Ming; Wu, Rong
1987
Riesz representation and duality of Markov processes. Zbl 0561.60075
Liao, Ming
1985
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### Cited by 122 Authors

 16 Liao, Ming 8 Applebaum, David B. 4 De Vecchi, Francesco Carlo 4 Morando, Paola 4 Ruffino, Paulo Régis C. 4 Tam, Tin-Yau 4 Ugolini, Stefania 4 Wang, Longmin 3 Albeverio, Sergio A. 3 Song, Renming 2 Cébron, Guillaume 2 Da Silva, Fabiano Borges 2 Das, Biswarup 2 Didier, Gustavo 2 Duan, Jinqiao 2 Franz, Uwe 2 Kim, Panki 2 Kim, Yoontae 2 Lévy, Thierry 2 Li, Xue-Mei 2 Melo, Alison M. 2 Morgado, Leandro Batista 2 Park, Hyun Suk 2 Pipiras, Vladas 2 Tardif, Camille 2 Toniazzi, Lorenzo 2 Zhu, Quanxin 1 Angst, Jürgen 1 Bauer, Robert Otto 1 Behme, Anita Diana 1 Brockway, Rosemary Shewell 1 Bruned, Yvain 1 Catuogno, Pedro José 1 Chen, Zhen-Qing 1 Chevyrev, Ilya 1 Cipriani, Fabio 1 Dahlqvist, Antoine 1 De La Cruz, Ralph John Lamadrid 1 de Lara, Michel 1 Deleaval, Luc 1 Demni, Nizar 1 Dooley, Anthony Haynes 1 Elworthy, David 1 Florack, Luc M. J. 1 Freslon, Amaury 1 Friz, Peter Karl 1 Fuster, Andrea 1 Gabriel, Franck 1 Gaeta, Giuseppe 1 Gan, Luyining 1 Gasanenko, Vitalii Alekseevich 1 Gordina, Maria 1 Goswami, Debashish 1 Güneysu, Batu 1 Hara, Keisuke 1 He, Ping 1 Herold, Felix 1 Hmissi, Mohamed 1 Holmes, Randall R. 1 Hong, Jialin 1 Hu, Wei 1 Huang, Huajun 1 Huang, Qiao 1 Hug, Daniel 1 Hughes, Harry Randolph 1 Hungerbuhler, Norbert 1 Jedidi, Wissem 1 Jeon, Jong Woo 1 Johnston, Ifan 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kôzaki, Masanori 1 Kula, Anna 1 Kwong, Hok Shing 1 Lázaro-Camí, Joan-Andreu 1 Le Ngan, Trang 1 Ledesma, Diego Sebastian 1 Lindner, Alexander M. 1 Liu, Xuhua 1 Lu, Yi 1 Ma, Zhi-Ming 1 Maïda, Mylène 1 Manton, Jonathan H. 1 Meerschaert, Mark Marvin 1 Méliot, Pierre-Loïc 1 Nadarajah, Saralees 1 Nguyen Thanh Thien 1 Nguyen Tien Zung 1 Ortega, Juan-Pablo 1 Palmowski, Zbigniew 1 Perruchaud, Pierre 1 Picard, Jean 1 Plantinga, Birgit 1 Porod, Ursula 1 Posilicano, Andrea 1 Preiß, Rosa 1 Qiao, Huijie 1 Reyes, Edgar N. 1 Ruan, Jialin 1 Sadel, Christian 1 Said, Salem ...and 22 more Authors
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### Cited in 53 Serials

 9 The Annals of Probability 8 Stochastics and Dynamics 6 Stochastic Processes and their Applications 5 Probability Theory and Related Fields 5 Potential Analysis 4 Transactions of the American Mathematical Society 4 Journal of Theoretical Probability 3 Journal of Mathematical Analysis and Applications 3 Journal of Functional Analysis 3 Electronic Journal of Probability 2 Journal of Geometry and Physics 2 Stochastic Analysis and Applications 2 Linear Algebra and its Applications 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Advances in Applied Probability 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Physics Reports 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Semigroup Forum 1 Probability and Mathematical Statistics 1 Statistics 1 Differential Geometry and its Applications 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastics and Stochastics Reports 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Imaging and Vision 1 Journal of Mathematical Sciences (New York) 1 Random Operators and Stochastic Equations 1 Bulletin des Sciences Mathématiques 1 Bernoulli 1 Positivity 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Central European Journal of Mathematics 1 Journal of Noncommutative Geometry 1 Communications in Computational Physics 1 Science China. Mathematics 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Bulletin of Mathematical Sciences 1 Special Matrices
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### Cited in 28 Fields

 81 Probability theory and stochastic processes (60-XX) 35 Global analysis, analysis on manifolds (58-XX) 13 Partial differential equations (35-XX) 11 Topological groups, Lie groups (22-XX) 10 Operator theory (47-XX) 10 Differential geometry (53-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Abstract harmonic analysis (43-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 5 Ordinary differential equations (34-XX) 4 Potential theory (31-XX) 3 Nonassociative rings and algebras (17-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Group theory and generalizations (20-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)