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Chen, Zhen-Qing

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Author ID: chen.zhen-qing Recent zbMATH articles by "Chen, Zhen-Qing"
Published as: Chen, Zhen-Qing; Chen, Z. Q.; Chen, Z.-Q.; Chen, Z.; Chen, Zhenqing; Chen, Zhen-qing; Chen, Zhen Qing; Chen, Zen-Qing
Homepage: http://www.math.washington.edu/~zchen/
External Links: MGP · ResearchGate
Documents Indexed: 192 Publications since 1986, including 3 Books
all top 5

Serials

23 Probability Theory and Related Fields
21 The Annals of Probability
15 Journal of Functional Analysis
11 Stochastic Processes and their Applications
9 Transactions of the American Mathematical Society
6 Mathematische Annalen
6 Proceedings of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Illinois Journal of Mathematics
5 Potential Analysis
5 Science China. Mathematics
4 Journal of Computational Physics
3 Journal of Mathematical Analysis and Applications
3 Mathematische Zeitschrift
3 Forum Mathematicum
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Electronic Journal of Probability
2 Journal of Differential Equations
2 Journal of the Mathematical Society of Japan
2 Osaka Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Acta Applicandae Mathematicae
2 Revista Matemática Iberoamericana
2 Journal of Theoretical Probability
2 The Annals of Applied Probability
2 SIAM Journal on Mathematical Analysis
2 Electronic Communications in Probability
2 Journal of the European Mathematical Society (JEMS)
2 Acta Mathematica Sinica. English Series
2 Frontiers of Mathematics in China
1 Communications in Mathematical Physics
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Journal of Statistical Physics
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Tohoku Mathematical Journal. Second Series
1 Journal of East China Normal University. Natural Science Edition
1 Science in China. Series A
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Mathematical Research Letters
1 Bernoulli
1 The Korean Journal of Computational & Applied Mathematics
1 Journal of Evolution Equations
1 Oberwolfach Reports
1 Interdisciplinary Mathematical Sciences
1 London Mathematical Society Monographs Series
1 Advances in Applied Mathematics and Mechanics
1 Sankhyā
1 Communications in Mathematics and Statistics

Publications by Year

Citations contained in zbMATH Open

164 Publications have been cited 3,032 times in 1,349 Documents Cited by Year
Heat kernel estimates for stable-like processes on \(d\)-sets. Zbl 1075.60556
Chen, Zhen-Qing; Kumagai, Takashi
194
2003
Heat kernel estimates for jump processes of mixed types on metric measure spaces. Zbl 1131.60076
Chen, Zhen-Qing; Kumagai, Takashi
139
2008
Censored stable processes. Zbl 1032.60047
Bogdan, Krzysztof; Burdzy, Krzysztof; Chen, Zhen-Qing
127
2003
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
115
2009
Symmetric Markov processes, time change, and boundary theory. Zbl 1253.60002
Chen, Zhen-Qing; Fukushima, Masatoshi
105
2012
Estimates on Green functions and Poisson kernels for symmetric stable processes. Zbl 0918.60068
Chen, Zhen-Qing; Song, Renming
99
1998
Heat kernel estimates for the Dirichlet fractional Laplacian. Zbl 1203.60114
Chen, Zhen-Qing; Kim, Panki; Song, Renming
90
2010
Gaugeability and conditional gaugeability. Zbl 1006.60072
Chen, Zhen-Qing
71
2002
Global heat kernel estimates for symmetric jump processes. Zbl 1234.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
60
2011
Intrinsic ultracontractivity and conditional gauge for symmetric stable processes. Zbl 0886.60072
Chen, Zhen-Qing; Song, Renming
58
1997
Two-sided eigenvalue estimates for subordinate processes in domains. Zbl 1081.60056
Chen, Zhen-Qing; Song, Renming
58
2005
Drift transforms and Green function estimates for discontinuous processes. Zbl 1031.60071
Chen, Zhen-Qing; Song, Renming
53
2003
Space-time fractional diffusion on bounded domains. Zbl 1251.35177
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan
51
2012
Weighted Poincaré inequality and heat kernel estimates for finite range jump processes. Zbl 1156.60069
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
50
2008
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. Zbl 1264.60060
Chen, Zhen-Qing; Kim, Panki; Song, Renming
47
2012
Heat kernels and analyticity of non-symmetric jump diffusion semigroups. Zbl 1345.60086
Chen, Zhen-Qing; Zhang, Xicheng
38
2016
An SPH model for multiphase flows with complex interfaces and large density differences. Zbl 1351.76231
Chen, Z.; Zong, Z.; Liu, M. B.; Zou, L.; Li, H. T.; Shu, C.
38
2015
General gauge and conditional gauge theorems. Zbl 1017.60086
Chen, Zhen-Qing; Song, Renming
36
2002
Absolute continuity of symmetric Markov processes. Zbl 1053.60084
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S.
35
2004
Sharp heat kernel estimates for relativistic stable processes in open sets. Zbl 1235.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
35
2012
Two-sided heat kernel estimates for censored stable-like processes. Zbl 1190.60068
Chen, Zhen-Qing; Kim, Panki; Song, Renming
34
2010
Quasi-homeomorphisms of Dirichlet forms. Zbl 0811.31002
Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael
33
1994
Conditional gauge theorem for non-local Feynman-Kac transforms. Zbl 1025.60032
Chen, Zhen-Qing; Song, Renming
33
2003
Brownian motion with singular drift. Zbl 1029.60044
Bass, Richard F.; Chen, Zhen-Qing
33
2003
On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. Zbl 1171.60373
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
33
2009
On reflecting diffusion processes and Skorokhod decompositions. Zbl 0767.60074
Chen, Zhen-Qing
31
1993
A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps. Zbl 1200.60065
Chen, Zhen-Qing; Kumagai, Takashi
31
2010
Fractional time stochastic partial differential equations. Zbl 1322.60106
Chen, Zhen-Qing; Kim, Kyeong-Hun; Kim, Panki
31
2015
Stochastic calculus for symmetric Markov processes. Zbl 1142.31005
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
30
2008
Martin boundary and integral representation for harmonic functions of symmetric stable processes. Zbl 0954.60003
Chen, Zhen-Qing; Song, Renming
30
1998
Green function estimate for censored stable processes. Zbl 1016.60070
Chen, Zhen-Qing; Kim, Panki
29
2002
Systems of equations driven by stable processes. Zbl 1085.60035
Bass, Richard F.; Chen, Zhen-Qing
28
2006
The heat equation and reflected Brownian motion in time-dependent domains. Zbl 1046.60060
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
27
2004
Time fractional equations and probabilistic representation. Zbl 1374.60122
Chen, Zhen-Qing
26
2017
Perturbation of symmetric Markov processes. Zbl 1137.31004
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
24
2008
Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains. Zbl 0959.60035
Chen, Zhen-Qing; Song, Renming
23
2000
Heat kernels for non-symmetric diffusion operators with jumps. Zbl 1386.35131
Chen, Zhen-Qing; Hu, Eryan; Xie, Longjie; Zhang, Xicheng
23
2017
Girsanov and Feynman-Kac type transformations for symmetric Markov processes. Zbl 1004.60077
Chen, Zhen-Qing; Zhang, Tu-Sheng
22
2002
Symmetric jump processes and their heat kernel estimates. Zbl 1186.60073
Chen, Zhen-Qing
22
2009
Hardy inequality for censored stable processes. Zbl 1070.46021
Chen, Zhen-Qing; Song, Renming
22
2003
Dirichlet heat kernel estimates for rotationally symmetric Lévy processes. Zbl 1304.60080
Chen, Zhen-Qing; Kim, Panki; Song, Renming
22
2014
Limit theorems for branching Markov processes. Zbl 1125.60087
Chen, Zhen-Qing; Shiozawa, Yuichi
21
2007
Dirichlet heat kernel estimates for \(\Delta ^{\alpha /2} + \delta ^{\beta /2}\). Zbl 1268.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
21
2010
One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081
Bass, Richard F.; Chen, Zhen-Qing
20
2005
Multidimensional symmetric stable processes. Zbl 0937.60069
Chen, Zhen-Qing
18
1999
On reflected Dirichlet spaces. Zbl 0767.60073
Chen, Zhen-Qing
18
1992
Diffusion processes and second order elliptic operators with singular coefficients for lower order terms. Zbl 0876.35029
Chen, Z. Q.; Zhao, Z.
18
1995
Potential theory for elliptic systems. Zbl 0854.60062
Chen, Z. Q.; Zhao, Z.
18
1996
On notions of harmonicity. Zbl 1181.60118
Chen, Zhen-Qing
18
2009
Boundary Harnack principle for \(\Delta +\Delta ^{\alpha /2}\). Zbl 1271.31006
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran
18
2012
Uniqueness of stable processes with drift. Zbl 1335.60085
Chen, Zhen-Qing; Wang, Longmin
17
2016
Heat kernels for time-dependent non-symmetric stable-like operators. Zbl 06879540
Chen, Zhen-Qing; Zhang, Xicheng
17
2018
Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
16
2004
An almost sure scaling limit theorem for Dawson-Watanabe superprocesses. Zbl 1138.60054
Chen, Zhen-Qing; Ren, Yan-Xia; Wang, Hao
15
2008
Analytic characterization of conditional gaugeability for non-local Feynman-Kac transforms. Zbl 1023.60065
Chen, Zhen-Qing
15
2003
Heat kernel estimates for \(\Delta +\Delta ^{\alpha /2}\) in \(C^{1, 1}\) open sets. Zbl 1229.60089
Chen, Zhen-Qing; Kim, Panki; Song, Renming
15
2011
Global heat kernel estimates for fractional Laplacians in unbounded open sets. Zbl 1231.60078
Chen, Zhen-Qing; Tokle, Joshua
15
2011
Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. Zbl 1321.60149
Chen, Zhen-Qing; Kim, Panki; Song, Renming
15
2015
Traces of symmetric Markov processes and their characterizations. Zbl 1103.60067
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
14
2006
Discrete approximation of symmetric jump processes on metric measure spaces. Zbl 1274.60238
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
14
2013
Heat kernel estimates for \(\varDelta + \varDelta^{\alpha / 2}\) under gradient perturbation. Zbl 1329.60228
Chen, Zhen-Qing; Hu, Eryan
14
2015
Global heat kernel estimate for relativistic stable processes in exterior open sets. Zbl 1255.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
14
2012
Traps for reflected Brownian motion. Zbl 1085.60054
Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald E.
13
2006
The heat equation and reflected Brownian motion in time-dependent domains. II: Singularities of solutions. Zbl 1058.60062
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
13
2003
Discrete approximations to reflected Brownian motion. Zbl 1141.60014
Burdzy, Krzysztof; Chen, Zhen-Qing
13
2008
Stochastic flows for Lévy processes with Hölder drifts. Zbl 1420.60064
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng
13
2018
Harnack principle for weakly coupled elliptic systems. Zbl 0882.35039
Chen, Z.-Q.; Zhao, Z.
12
1997
Local time flow related to skew Brownian motion. Zbl 1037.60057
Burdzy, Krzysztof; Chen, Zhen-Qing
12
2001
Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
12
2007
On doubly Feller property. Zbl 1221.60111
Chen, Zhen-Qing; Kuwae, Kazuhiro
12
2009
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
12
2010
One-point reflection. Zbl 1327.60151
Chen, Zhen-Qing; Fukushima, Masatoshi
12
2015
Weak convergence of reflecting Brownian motions. Zbl 0901.60052
Burdzy, Krzysztof; Chen, Zen-Qing
11
1998
Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
11
2005
Stability of Martin boundary under non-local Feynman-Kac perturbations. Zbl 1051.31004
Chen, Zhen-Qing; Kim, Panki
11
2004
On the Robin problem in fractal domains. Zbl 1136.60045
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
11
2008
On general perturbations of symmetric Markov processes. Zbl 1176.60070
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
11
2009
Heat kernel estimates for time fractional equations. Zbl 1401.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
11
2018
Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains. Zbl 1374.60123
Chen, Zhen-Qing; Fukushima, Masatoshi; Rohde, Steffen
11
2016
Switched diffusion processes and systems of elliptic equations: A Dirichlet space approach. Zbl 0807.47056
Chen, Z. Q.; Zhao, Z.
10
1994
Time-reversal and elliptic boundary value problems. Zbl 1187.60064
Chen, Zhen-Qing; Zhang, Tusheng
10
2009
Ergodicity for time-changed symmetric stable processes. Zbl 1328.60191
Chen, Zhen-Qing; Wang, Jian
10
2014
Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components. Zbl 1333.60179
Chen, Zhen-Qing; Kim, Panki; Song, Renming
10
2016
Continuity of eigenvalues of subordinate processes in domains. Zbl 1090.60070
Chen, Zhen-Qing; Song, Renming
9
2006
Stochastic differential equations for Dirichlet processes. Zbl 0995.60053
Bass, Richard F.; Chen, Zhen-Qing
9
2001
Global heat kernel estimates for relativistic stable processes in half-space-like open sets. Zbl 1239.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
9
2012
Reflection Brownian motions: Quasimartingales and strong Caccioppoli sets. Zbl 0812.60065
Chen, Z. Q.; Fitzsimmons, P. J.; Williams, R. J.
8
1993
On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions. Zbl 0790.35038
Chen, Z. Q.; Williams, R. J.; Zhao, Z.
8
1994
Coalescence of synchronous couplings. Zbl 1004.60080
Burdzy, Krzysztof; Chen, Zhen-Qing
8
2002
Entrance law, exit system and Lévy system of time changed processes. Zbl 1098.60076
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
8
2006
Extending Markov processes in weak duality by Poisson point processes of excursions. Zbl 1138.60050
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
8
2007
Stochastic Komatu-Loewner evolutions and BMD domain constant. Zbl 1380.60076
Chen, Zhen-Qing; Fukushima, Masatoshi
8
2018
Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams. Zbl 1425.74228
Pourasghar, A.; Chen, Z.
8
2019
Stability and approximations of symmetric diffusion semigroups and kernels. Zbl 0907.47036
Chen, Zhen-Qing; Qian, Zhongmin; Hu, Yaozhong; Zheng, Weian
7
1998
Reflecting Brownian motions and a deletion result for Sobolev spaces of order \((1,2)\). Zbl 0859.46021
Chen, Zhen-Qing
7
1996
The heat equation in time dependent domains with insulated boundaries. Zbl 1087.35046
Burdzy, Chris; Chen, Zhen-Qing; Sylvester, John
7
2004
Boundary trace of reflecting Brownian motions. Zbl 1056.60075
Benjamini, Itai; Chen, Zhen-Qing; Rohde, Steffen
7
2004
Synchronous couplings of reflected Brownian motions in smooth domains. Zbl 1142.60053
Burdzy, Krzysztof; Chen, Zhen-Qing; Jones, Peter
7
2006
One-point extensions of Markov processes by darning. Zbl 1147.60051
Chen, Zhen-Qing; Fukushima, Masatoshi
7
2008
Shy couplings. Zbl 1113.60076
Benjamini, Itai; Burdzy, Krzysztof; Chen, Zhen-Qing
7
2007
Time fractional Poisson equations: representations and estimates. Zbl 1427.35312
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
5
2020
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms. Zbl 07258185
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
3
2020
Heat kernel for non-local operators with variable order. Zbl 1462.60106
Chen, Xin; Chen, Zhen-Qing; Wang, Jian
2
2020
Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms. Zbl 1455.35004
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
2
2020
Effect of hyperbolic heat conduction on the linear and nonlinear vibration of CNT reinforced size-dependent functionally graded microbeams. Zbl 1425.74228
Pourasghar, A.; Chen, Z.
8
2019
Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. Zbl 1415.35069
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
7
2019
Properties of switching jump diffusions: maximum principles and Harnack inequalities. Zbl 1440.60075
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George
5
2019
\(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups. Zbl 1423.31004
Chen, Zhen-Qing; Kim, Daehong; Kuwae, Kazuhiro
4
2019
Recurrence and ergodicity for A class of regime-switching jump diffusions. Zbl 1439.60072
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George
3
2019
Skeleton decomposition and law of large numbers for supercritical superprocesses. Zbl 1408.60075
Chen, Zhen-Qing; Ren, Yan-Xia; Yang, Ting
2
2019
\(L \log L\) criterion for a class of multitype superdiffusions with non-local branching mechanisms. Zbl 1420.60105
Chen, Zhen-Qing; Ren, Yan-Xia; Song, Renming
2
2019
Propagation of regularity in \(L^p\)-spaces for Kolmogorov-type hypoelliptic operators. Zbl 1430.42027
Chen, Zhen-Qing; Zhang, Xicheng
2
2019
Brownian motion on some spaces with varying dimension. Zbl 1466.60165
Chen, Zhen-Qing; Lou, Shuwen
1
2019
Small time asymptotics for Brownian motion with singular drift. Zbl 1447.60093
Chen, Zhen-Qing; Fang, Shizan; Zhang, Tusheng
1
2019
A multiphase smoothed particle hydrodynamics model with lower numerical diffusion. Zbl 1451.76097
Zheng, B. X.; Chen, Z.
1
2019
Heat kernels for time-dependent non-symmetric stable-like operators. Zbl 06879540
Chen, Zhen-Qing; Zhang, Xicheng
17
2018
Stochastic flows for Lévy processes with Hölder drifts. Zbl 1420.60064
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng
13
2018
Heat kernel estimates for time fractional equations. Zbl 1401.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
11
2018
Stochastic Komatu-Loewner evolutions and BMD domain constant. Zbl 1380.60076
Chen, Zhen-Qing; Fukushima, Masatoshi
8
2018
Perturbation by non-local operators. Zbl 1391.60190
Chen, Zhen-Qing; Wang, Jie-Ming
7
2018
\(L^p\)-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators. Zbl 1397.35072
Chen, Zhen-Qing; Zhang, Xicheng
3
2018
Heat kernels for non-symmetric non-local operators. Zbl 1404.35221
Chen, Zhen-Qing; Zhang, Xicheng
3
2018
Markov processes with darning and their approximations. Zbl 1405.60115
Chen, Zhen-Qing; Peng, Jun
2
2018
Backward stochastic differential equations with rank-based data. Zbl 1390.60202
Chen, Zhen-qing; Feng, Xinwei
1
2018
Time fractional equations and probabilistic representation. Zbl 1374.60122
Chen, Zhen-Qing
26
2017
Heat kernels for non-symmetric diffusion operators with jumps. Zbl 1386.35131
Chen, Zhen-Qing; Hu, Eryan; Xie, Longjie; Zhang, Xicheng
23
2017
Law of large numbers for branching symmetric hunt processes with measure-valued branching rates. Zbl 1418.60021
Chen, Zhen-Qing; Ren, Yan-Xia; Yang, Ting
5
2017
Stochastic Komatu-Loewner evolutions and SLEs. Zbl 1370.60140
Chen, Zhen-Qing; Fukushima, Masatoshi; Suzuki, Hiroyuki
5
2017
Hydrodynamic limits and propagation of chaos for interacting random walks in domains. Zbl 1372.60133
Chen, Zhen-Qing; Fan, Wai-Tong (Louis)
3
2017
Obliquely reflected Brownian motion in nonsmooth planar domains. Zbl 1392.60069
Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald; Ramanan, Kavita
2
2017
Systems of interacting diffusions with partial annihilation through membranes. Zbl 1361.60088
Chen, Zhen-Qing; Fan, Wai-Tong (Louis)
2
2017
Heat kernels and analyticity of non-symmetric jump diffusion semigroups. Zbl 1345.60086
Chen, Zhen-Qing; Zhang, Xicheng
38
2016
Uniqueness of stable processes with drift. Zbl 1335.60085
Chen, Zhen-Qing; Wang, Longmin
17
2016
Chordal Komatu-Loewner equation and Brownian motion with darning in multiply connected domains. Zbl 1374.60123
Chen, Zhen-Qing; Fukushima, Masatoshi; Rohde, Steffen
11
2016
Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components. Zbl 1333.60179
Chen, Zhen-Qing; Kim, Panki; Song, Renming
10
2016
Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space. Zbl 1361.60031
Chen, Zhen-Qing; Kim, Panki
5
2016
Fluctuation limit for interacting diffusions with partial annihilations through membranes. Zbl 1350.60101
Chen, Zhen-Qing; Fan, Wai-Tong Louis
3
2016
Drift perturbation of subordinate Brownian motions with Gaussian component. Zbl 1337.60202
Chen, Zhen-Qing; Dou, XiaoMan
2
2016
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators. Zbl 1351.60105
Chen, Zhen-Qing; Ren, Yan-Xia; Yang, Ting
1
2016
An SPH model for multiphase flows with complex interfaces and large density differences. Zbl 1351.76231
Chen, Z.; Zong, Z.; Liu, M. B.; Zou, L.; Li, H. T.; Shu, C.
38
2015
Fractional time stochastic partial differential equations. Zbl 1322.60106
Chen, Zhen-Qing; Kim, Kyeong-Hun; Kim, Panki
31
2015
Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation. Zbl 1321.60149
Chen, Zhen-Qing; Kim, Panki; Song, Renming
15
2015
Heat kernel estimates for \(\varDelta + \varDelta^{\alpha / 2}\) under gradient perturbation. Zbl 1329.60228
Chen, Zhen-Qing; Hu, Eryan
14
2015
One-point reflection. Zbl 1327.60151
Chen, Zhen-Qing; Fukushima, Masatoshi
12
2015
One-dimensional heat equation with discontinuous conductance. Zbl 1322.60129
Chen, Zhen-Qing; Zili, Mounir
7
2015
Strong law of large numbers for supercritical superprocesses under second moment condition. Zbl 1332.60044
Chen, Zhen-Qing; Ren, Yan-Xia; Song, Renming; Zhang, Rui
6
2015
Quenched invariance principles for random walks and elliptic diffusions in random media with boundary. Zbl 1338.60098
Chen, Zhen-Qing; Croydon, David A.; Kumagai, Takashi
5
2015
Corrigendum to: “Global heat kernel estimates for symmetric jump processes”. Zbl 1330.60102
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
2
2015
Functional central limit theorem for Brownian particles in domains with Robin boundary condition. Zbl 1342.60044
Chen, Zhen-Qing; Fan, Wai-Tong (Louis)
1
2015
Dirichlet heat kernel estimates for rotationally symmetric Lévy processes. Zbl 1304.60080
Chen, Zhen-Qing; Kim, Panki; Song, Renming
22
2014
Ergodicity for time-changed symmetric stable processes. Zbl 1328.60191
Chen, Zhen-Qing; Wang, Jian
10
2014
Hölder estimates for nonlocal-diffusion equations with drifts. Zbl 1310.60103
Chen, Zhen-Qing; Zhang, Xicheng
6
2014
An \(L_{p}\)-theory for non-divergence form SPDEs driven by Lévy processes. Zbl 1296.60163
Chen, Zhen-Qing; Kim, Kyeong-Hun
5
2014
A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients. Zbl 1296.60164
Chen, Zhen-Qing; Zhang, Tusheng
2
2014
Discrete approximation of symmetric jump processes on metric measure spaces. Zbl 1274.60238
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
14
2013
Reflecting random walk in fractal domains. Zbl 1286.60035
Burdzy, Krzysztof; Chen, Zhen-Qing
3
2013
Brownian earthworm. Zbl 1303.60074
Burdzy, Krzysztof; Chen, Zhen-Qing; Pal, Soumik
1
2013
Symmetric Markov processes, time change, and boundary theory. Zbl 1253.60002
Chen, Zhen-Qing; Fukushima, Masatoshi
105
2012
Space-time fractional diffusion on bounded domains. Zbl 1251.35177
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan
51
2012
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. Zbl 1264.60060
Chen, Zhen-Qing; Kim, Panki; Song, Renming
47
2012
Sharp heat kernel estimates for relativistic stable processes in open sets. Zbl 1235.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
35
2012
Boundary Harnack principle for \(\Delta +\Delta ^{\alpha /2}\). Zbl 1271.31006
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran
18
2012
Global heat kernel estimate for relativistic stable processes in exterior open sets. Zbl 1255.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
14
2012
Global heat kernel estimates for relativistic stable processes in half-space-like open sets. Zbl 1239.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
9
2012
\(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups. Zbl 1263.47053
Chen, Zhen-Qing
7
2012
Uniform integrability of exponential martingales and spectral bounds of non-local Feynman-Kac semigroups. Zbl 1282.60075
Chen, Zhen-Qing
7
2012
On subharmonicity for symmetric Markov processes. Zbl 1263.60073
Chen, Zhen-Qing; Kuwae, Kazuhiro
6
2012
An \(L _{2}\)-theory for a class of SPDEs driven by Lévy processes. Zbl 1274.60197
Chen, Zhen-Qing; Kim, KyeongHun
5
2012
A localization formula in Dirichlet form theory. Zbl 1245.60070
Chen, Zhen-Qing; Fukushima, Masatoshi
1
2012
Global heat kernel estimates for \(\Delta+\Delta^{\alpha/2}\) in half-space-like domains. Zbl 1247.60115
Chen, Zhen-Qing; Kim, Panki; Song, Renming
1
2012
Interacting superprocesses with discontinuous spatial motion. Zbl 1255.60149
Chen, Zhen-Qing; Wang, Hao; Xiong, Jie
1
2012
Global heat kernel estimates for symmetric jump processes. Zbl 1234.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
60
2011
Heat kernel estimates for \(\Delta +\Delta ^{\alpha /2}\) in \(C^{1, 1}\) open sets. Zbl 1229.60089
Chen, Zhen-Qing; Kim, Panki; Song, Renming
15
2011
Global heat kernel estimates for fractional Laplacians in unbounded open sets. Zbl 1231.60078
Chen, Zhen-Qing; Tokle, Joshua
15
2011
Green function estimates for relativistic stable processes in half-space-like open sets. Zbl 1235.60100
Chen, Zhen-Qing; Kim, Panki; Song, Renming
7
2011
Stochastic evolution equations driven by Lévy processes. Zbl 1237.60049
Chen, Zhen-Qing; Zhang, Tusheng
3
2011
Archimedes’ principle for Brownian liquid. Zbl 1241.60041
Burdzy, Krzysztof; Chen, Zhen-Qing; Pal, Soumik
2
2011
Heat kernel estimates for the Dirichlet fractional Laplacian. Zbl 1203.60114
Chen, Zhen-Qing; Kim, Panki; Song, Renming
90
2010
Two-sided heat kernel estimates for censored stable-like processes. Zbl 1190.60068
Chen, Zhen-Qing; Kim, Panki; Song, Renming
34
2010
A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps. Zbl 1200.60065
Chen, Zhen-Qing; Kumagai, Takashi
31
2010
Dirichlet heat kernel estimates for \(\Delta ^{\alpha /2} + \delta ^{\beta /2}\). Zbl 1268.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
21
2010
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
12
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
6
2010
Sharp Green function estimates for \(\Delta + \delta ^{\alpha /2}\) in \(C^{1,1}\) open sets and their applications. Zbl 1257.31002
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran
6
2010
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
115
2009
On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces. Zbl 1171.60373
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
33
2009
Symmetric jump processes and their heat kernel estimates. Zbl 1186.60073
Chen, Zhen-Qing
22
2009
On notions of harmonicity. Zbl 1181.60118
Chen, Zhen-Qing
18
2009
On doubly Feller property. Zbl 1221.60111
Chen, Zhen-Qing; Kuwae, Kazuhiro
12
2009
On general perturbations of symmetric Markov processes. Zbl 1176.60070
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
11
2009
Time-reversal and elliptic boundary value problems. Zbl 1187.60064
Chen, Zhen-Qing; Zhang, Tusheng
10
2009
Schramm-Loewner equations driven by symmetric stable processes. Zbl 1173.82025
Chen, Zhen-Qing; Rohde, Steffen
7
2009
Exit time, Green function and semilinear elliptic equations. Zbl 1190.60056
Atar, Rami; Athreya, Siva; Chen, Zhen-Qing
5
2009
On unique extension of time changed reflecting Brownian motions. Zbl 1189.60141
Chen, Zhen-Qing; Fukushima, Masatoshi
3
2009
Heat kernel estimates for jump processes of mixed types on metric measure spaces. Zbl 1131.60076
Chen, Zhen-Qing; Kumagai, Takashi
139
2008
Weighted Poincaré inequality and heat kernel estimates for finite range jump processes. Zbl 1156.60069
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
50
2008
Stochastic calculus for symmetric Markov processes. Zbl 1142.31005
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
30
2008
Perturbation of symmetric Markov processes. Zbl 1137.31004
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
24
2008
An almost sure scaling limit theorem for Dawson-Watanabe superprocesses. Zbl 1138.60054
Chen, Zhen-Qing; Ren, Yan-Xia; Wang, Hao
15
2008
Discrete approximations to reflected Brownian motion. Zbl 1141.60014
Burdzy, Krzysztof; Chen, Zhen-Qing
13
2008
...and 64 more Documents
all top 5

Cited by 1,227 Authors

125 Chen, Zhen-Qing
64 Kim, Panki
64 Song, Renming
36 Wang, Jian
26 Burdzy, Krzysztof
25 Kumagai, Takashi
24 Vondraček, Zoran
22 Fukushima, Masatoshi
22 Takeda, Masayoshi
20 Bogdan, Krzysztof
19 Bass, Richard F.
19 Zhang, Xicheng
18 Kuwae, Kazuhiro
18 Warma, Mahamadi
17 Kulczycki, Tadeusz
17 Ren, Yanxia
16 Grigor’yan, Alexander Asaturovich
16 Nane, Erkan
16 Zhang, Tusheng S.
15 Ryznar, Michał
14 Grzywny, Tomasz
14 Jakubowski, Tomasz
14 Kaleta, Kamil
14 Kassmann, Moritz
14 Ying, Jiangang
13 Kwaśnicki, Mateusz
13 Shiozawa, Yuichi
13 Sun, Wei
12 Chen, Huyuan
12 Duan, Jinqiao
12 Vazquez, Juan Luis
11 Fitzsimmons, Patrick J.
11 Li, Liping
11 Ma, Zhi-Ming
11 Xie, Longjie
10 Chen, Xin
10 Mimica, Ante
10 Schilling, René Leander
10 Sztonyk, Paweł
10 Uemura, Toshihiro
9 Foondun, Mohammud
9 Teplyaev, Alexander
8 Barlow, Martin T.
8 Hinz, Michael
8 Kim, Daehong
8 Masamune, Jun
8 Xu, Lihu
7 Bañuelos, Rodrigo
7 Bonforte, Matteo
7 Hu, Jiaxin
7 Knopova, Victoria Pavlovna
7 Lörinczi, József
7 Yan, Litan
7 Zili, Mounir
6 Capitanelli, Raffaela
6 Gal, Ciprian Gheorghe Sorin
6 Grubb, Gerd
6 Hansen, Wolfhard
6 Hirata, Kentaro
6 Kim, KyeongHun
6 Kyprianou, Andreas E.
6 Lv, Guangying
6 Mâagli, Habib
6 Pietruska-Pałuba, Katarzyna
6 Röckner, Michael
6 Ros-Oton, Xavier
6 Tong, Jinying
6 Topp, Erwin
6 Tsuchida, Kaneharu
6 Yin, George Gang
6 Zhang, Zhenzhong
5 Abatangelo, Nicola
5 Acuña Valverde, Luis
5 Andres, Sebastian
5 Barles, Guy
5 Biswas, Anup
5 Chen, Chuanzhong
5 Hu, Eryan
5 Keller, Matthias
5 Kolokoltsov, Vassili N.
5 Małecki, Jacek
5 Murugan, Mathav Kishore
5 Sire, Yannick
5 Trutnau, Gerald
5 Véron, Laurent
5 Wang, Feng-Yu
5 Wang, Jieming
5 Xie, Yingchao
5 Zhang, Rui
5 Zhao, Zhongxin
5 Zou, Guang’an
5 Zougar, Eya
4 Beznea, Lucian
4 da Silva, José Luís
4 D’Ovidio, Mirko
4 Duo, Siwei
4 Dyda, Bartłomiej
4 Guan, Qing-Yang
4 Gunzburger, Max D.
4 He, Ping
...and 1,127 more Authors
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Cited in 223 Serials

99 Potential Analysis
85 Stochastic Processes and their Applications
62 Journal of Functional Analysis
54 The Annals of Probability
51 Transactions of the American Mathematical Society
43 Journal of Mathematical Analysis and Applications
37 Probability Theory and Related Fields
37 Journal of Theoretical Probability
34 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
33 Journal of Differential Equations
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Science China. Mathematics
22 Proceedings of the American Mathematical Society
21 Fractional Calculus & Applied Analysis
19 Bernoulli
17 Statistics & Probability Letters
16 Electronic Journal of Probability
16 Discrete and Continuous Dynamical Systems
15 Mathematische Zeitschrift
14 Stochastic Analysis and Applications
14 Journal of Evolution Equations
13 Tohoku Mathematical Journal. Second Series
13 The Annals of Applied Probability
12 Computers & Mathematics with Applications
12 Illinois Journal of Mathematics
12 Mathematische Annalen
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Journal of the Mathematical Society of Japan
11 Mathematische Nachrichten
11 Acta Applicandae Mathematicae
11 Communications in Partial Differential Equations
11 Calculus of Variations and Partial Differential Equations
11 Communications on Pure and Applied Analysis
10 Communications in Mathematical Physics
10 Journal of Statistical Physics
10 Osaka Journal of Mathematics
9 Journal of Mathematical Physics
9 Advances in Mathematics
9 SIAM Journal on Mathematical Analysis
9 Acta Mathematica Sinica. English Series
9 Discrete and Continuous Dynamical Systems. Series B
9 Stochastics and Dynamics
8 Applicable Analysis
8 Archive for Rational Mechanics and Analysis
8 Forum Mathematicum
7 Frontiers of Mathematics in China
6 Journal of Applied Probability
6 NoDEA. Nonlinear Differential Equations and Applications
6 Positivity
5 Journal d’Analyse Mathématique
5 Applied Mathematics and Optimization
5 Journal of Computational and Applied Mathematics
5 SIAM Journal on Control and Optimization
5 Applied Mathematics Letters
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Communications in Contemporary Mathematics
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
5 Advances in Nonlinear Analysis
4 Journal of Computational Physics
4 Studia Mathematica
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Computation
4 Memoirs of the American Mathematical Society
4 Proceedings of the London Mathematical Society. Third Series
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Acta Mathematicae Applicatae Sinica. English Series
4 Revista Matemática Iberoamericana
4 Journal of Scientific Computing
4 Journal of the European Mathematical Society (JEMS)
4 Advanced Nonlinear Studies
4 Mediterranean Journal of Mathematics
3 Communications on Pure and Applied Mathematics
3 Nonlinearity
3 Reviews in Mathematical Physics
3 Integral Equations and Operator Theory
3 Semigroup Forum
3 The Journal of Geometric Analysis
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Dynamics and Differential Equations
3 Theory of Probability and Mathematical Statistics
3 Applied and Computational Harmonic Analysis
3 Bulletin des Sciences Mathématiques
3 Advances in Computational Mathematics
3 Electronic Communications in Probability
3 Analysis & PDE
3 Journal of Spectral Theory
3 Communications in Mathematics and Statistics
3 Stochastic and Partial Differential Equations. Analysis and Computations
3 Modern Stochastics. Theory and Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Letters in Mathematical Physics
2 Chaos, Solitons and Fractals
2 Theory of Probability and its Applications
2 Annales de l’Institut Fourier
2 Archiv der Mathematik
2 Automatica
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Manuscripta Mathematica
...and 123 more Serials
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Cited in 45 Fields

940 Probability theory and stochastic processes (60-XX)
566 Partial differential equations (35-XX)
259 Potential theory (31-XX)
223 Operator theory (47-XX)
57 Real functions (26-XX)
53 Numerical analysis (65-XX)
47 Integral equations (45-XX)
46 Measure and integration (28-XX)
42 Functional analysis (46-XX)
40 Global analysis, analysis on manifolds (58-XX)
32 Ordinary differential equations (34-XX)
32 Statistical mechanics, structure of matter (82-XX)
25 Functions of a complex variable (30-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
23 Systems theory; control (93-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
18 Fluid mechanics (76-XX)
16 Quantum theory (81-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Biology and other natural sciences (92-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Combinatorics (05-XX)
12 Differential geometry (53-XX)
12 Statistics (62-XX)
10 Operations research, mathematical programming (90-XX)
9 Special functions (33-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Mechanics of deformable solids (74-XX)
5 Approximations and expansions (41-XX)
4 Difference and functional equations (39-XX)
3 Geophysics (86-XX)
2 Number theory (11-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Computer science (68-XX)

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