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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, Zhenqing; Chen, Zhen-qing; Chen, Zhen Qing; Chen, Zen-Qing
Homepage: http://www.math.washington.edu/~zchen/
External Links: MGP · ResearchGate
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Serials

23 Probability Theory and Related Fields
22 The Annals of Probability
15 Journal of Functional Analysis
13 Stochastic Processes and their Applications
9 Transactions of the American Mathematical Society
7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Mathematische Annalen
6 Proceedings of the American Mathematical Society
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 Journal of Differential Equations
3 Mathematische Zeitschrift
3 Forum Mathematicum
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Electronic Journal of Probability
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 for Numerical Methods in Fluids
1 Journal of Statistical Physics
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Annales de l’Institut Fourier
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 Tôhoku 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 Sankhyā
1 Springer Proceedings in Mathematics & Statistics
1 Communications in Mathematics and Statistics

Publications by Year

Citations contained in zbMATH Open

169 Publications have been cited 3,346 times in 1,505 Documents Cited by Year
Heat kernel estimates for stable-like processes on \(d\)-sets. Zbl 1075.60556
Chen, Zhen-Qing; Kumagai, Takashi
208
2003
Heat kernel estimates for jump processes of mixed types on metric measure spaces. Zbl 1131.60076
Chen, Zhen-Qing; Kumagai, Takashi
146
2008
Censored stable processes. Zbl 1032.60047
Bogdan, Krzysztof; Burdzy, Krzysztof; Chen, Zhen-Qing
140
2003
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
123
2009
Symmetric Markov processes, time change, and boundary theory. Zbl 1253.60002
Chen, Zhen-Qing; Fukushima, Masatoshi
110
2012
Estimates on Green functions and Poisson kernels for symmetric stable processes. Zbl 0918.60068
Chen, Zhen-Qing; Song, Renming
105
1998
Heat kernel estimates for the Dirichlet fractional Laplacian. Zbl 1203.60114
Chen, Zhen-Qing; Kim, Panki; Song, Renming
97
2010
Gaugeability and conditional gaugeability. Zbl 1006.60072
Chen, Zhen-Qing
73
2002
Two-sided eigenvalue estimates for subordinate processes in domains. Zbl 1081.60056
Chen, Zhen-Qing; Song, Renming
67
2005
Global heat kernel estimates for symmetric jump processes. Zbl 1234.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
62
2011
Intrinsic ultracontractivity and conditional gauge for symmetric stable processes. Zbl 0886.60072
Chen, Zhen-Qing; Song, Renming
61
1997
Space-time fractional diffusion on bounded domains. Zbl 1251.35177
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan
58
2012
Drift transforms and Green function estimates for discontinuous processes. Zbl 1031.60071
Chen, Zhen-Qing; Song, Renming
55
2003
Weighted Poincaré inequality and heat kernel estimates for finite range jump processes. Zbl 1156.60069
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
54
2008
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. Zbl 1264.60060
Chen, Zhen-Qing; Kim, Panki; Song, Renming
50
2012
Heat kernels and analyticity of non-symmetric jump diffusion semigroups. Zbl 1345.60086
Chen, Zhen-Qing; Zhang, Xicheng
46
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.
45
2015
Fractional time stochastic partial differential equations. Zbl 1322.60106
Chen, Zhen-Qing; Kim, Kyeong-Hun; Kim, Panki
42
2015
Brownian motion with singular drift. Zbl 1029.60044
Bass, Richard F.; Chen, Zhen-Qing
39
2003
Two-sided heat kernel estimates for censored stable-like processes. Zbl 1190.60068
Chen, Zhen-Qing; Kim, Panki; Song, Renming
39
2010
General gauge and conditional gauge theorems. Zbl 1017.60086
Chen, Zhen-Qing; Song, Renming
37
2002
Sharp heat kernel estimates for relativistic stable processes in open sets. Zbl 1235.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
37
2012
Absolute continuity of symmetric Markov processes. Zbl 1053.60084
Chen, Z.-Q.; Fitzsimmons, P. J.; Takeda, M.; Ying, J.; Zhang, T.-S.
36
2004
A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps. Zbl 1200.60065
Chen, Zhen-Qing; Kumagai, Takashi
36
2010
Quasi-homeomorphisms of Dirichlet forms. Zbl 0811.31002
Chen, Zhen-Qing; Ma, Zhi-Ming; Röckner, Michael
35
1994
Conditional gauge theorem for non-local Feynman-Kac transforms. Zbl 1025.60032
Chen, Zhen-Qing; Song, Renming
35
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
34
2009
On reflecting diffusion processes and Skorokhod decompositions. Zbl 0767.60074
Chen, Zhen-Qing
33
1993
Time fractional equations and probabilistic representation. Zbl 1374.60122
Chen, Zhen-Qing
33
2017
Green function estimate for censored stable processes. Zbl 1016.60070
Chen, Zhen-Qing; Kim, Panki
32
2002
Martin boundary and integral representation for harmonic functions of symmetric stable processes. Zbl 0954.60003
Chen, Zhen-Qing; Song, Renming
31
1998
Stochastic calculus for symmetric Markov processes. Zbl 1142.31005
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
31
2008
Heat kernels for non-symmetric diffusion operators with jumps. Zbl 1386.35131
Chen, Zhen-Qing; Hu, Eryan; Xie, Longjie; Zhang, Xicheng
31
2017
Systems of equations driven by stable processes. Zbl 1085.60035
Bass, Richard F.; Chen, Zhen-Qing
31
2006
The heat equation and reflected Brownian motion in time-dependent domains. Zbl 1046.60060
Burdzy, Krzysztof; Chen, Zhen-Qing; Sylvester, John
29
2004
Dirichlet heat kernel estimates for rotationally symmetric Lévy processes. Zbl 1304.60080
Chen, Zhen-Qing; Kim, Panki; Song, Renming
26
2014
Intrinsic ultracontractivity, conditional lifetimes and conditional gauge for symmetric stable processes on rough domains. Zbl 0959.60035
Chen, Zhen-Qing; Song, Renming
24
2000
Perturbation of symmetric Markov processes. Zbl 1137.31004
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
24
2008
Hardy inequality for censored stable processes. Zbl 1070.46021
Chen, Zhen-Qing; Song, Renming
24
2003
Boundary Harnack principle for \(\Delta +\Delta ^{\alpha /2}\). Zbl 1271.31006
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran
24
2012
Symmetric jump processes and their heat kernel estimates. Zbl 1186.60073
Chen, Zhen-Qing
23
2009
Heat kernels for time-dependent non-symmetric stable-like operators. Zbl 06879540
Chen, Zhen-Qing; Zhang, Xicheng
23
2018
Girsanov and Feynman-Kac type transformations for symmetric Markov processes. Zbl 1004.60077
Chen, Zhen-Qing; Zhang, Tu-Sheng
22
2002
Limit theorems for branching Markov processes. Zbl 1125.60087
Chen, Zhen-Qing; Shiozawa, Yuichi
22
2007
Dirichlet heat kernel estimates for \(\Delta ^{\alpha /2} + \delta ^{\beta /2}\). Zbl 1268.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
22
2010
Uniqueness of stable processes with drift. Zbl 1335.60085
Chen, Zhen-Qing; Wang, Longmin
21
2016
One-dimensional stochastic differential equations with singular and degenerate coefficients. Zbl 1192.60081
Bass, Richard F.; Chen, Zhen-Qing
21
2005
Diffusion processes and second order elliptic operators with singular coefficients for lower order terms. Zbl 0876.35029
Chen, Z. Q.; Zhao, Z.
20
1995
Stochastic differential equations driven by stable processes for which pathwise uniqueness fails. Zbl 1111.60038
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
20
2004
Potential theory for elliptic systems. Zbl 0854.60062
Chen, Z. Q.; Zhao, Z.
19
1996
On notions of harmonicity. Zbl 1181.60118
Chen, Zhen-Qing
18
2009
On reflected Dirichlet spaces. Zbl 0767.60073
Chen, Zhen-Qing
18
1992
Heat kernel estimates for \(\Delta +\Delta ^{\alpha /2}\) in \(C^{1, 1}\) open sets. Zbl 1229.60089
Chen, Zhen-Qing; Kim, Panki; Song, Renming
18
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
17
2015
Global heat kernel estimates for fractional Laplacians in unbounded open sets. Zbl 1231.60078
Chen, Zhen-Qing; Tokle, Joshua
17
2011
Multidimensional symmetric stable processes. Zbl 0937.60069
Chen, Zhen-Qing
17
1999
Stochastic flows for Lévy processes with Hölder drifts. Zbl 1420.60064
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng
17
2018
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
16
2010
Discrete approximation of symmetric jump processes on metric measure spaces. Zbl 1274.60238
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
16
2013
Global heat kernel estimate for relativistic stable processes in exterior open sets. Zbl 1255.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
16
2012
Analytic characterization of conditional gaugeability for non-local Feynman-Kac transforms. Zbl 1023.60065
Chen, Zhen-Qing
15
2003
Traces of symmetric Markov processes and their characterizations. Zbl 1103.60067
Chen, Zhen-Qing; Fukushima, Masatoshi; Ying, Jiangang
15
2006
Stochastic differential equations for Dirichlet processes. Zbl 0995.60053
Bass, Richard F.; Chen, Zhen-Qing
15
2001
An almost sure scaling limit theorem for Dawson-Watanabe superprocesses. Zbl 1138.60054
Chen, Zhen-Qing; Ren, Yan-Xia; Wang, Hao
15
2008
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
14
2015
Heat kernel estimates for time fractional equations. Zbl 1401.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
14
2018
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
Harnack principle for weakly coupled elliptic systems. Zbl 0882.35039
Chen, Z.-Q.; Zhao, Z.
13
1997
Discrete approximations to reflected Brownian motion. Zbl 1141.60014
Burdzy, Krzysztof; Chen, Zhen-Qing
13
2008
Traps for reflected Brownian motion. Zbl 1085.60054
Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald E.
13
2006
Time-reversal and elliptic boundary value problems. Zbl 1187.60064
Chen, Zhen-Qing; Zhang, Tusheng
12
2009
Local time flow related to skew Brownian motion. Zbl 1037.60057
Burdzy, Krzysztof; Chen, Zhen-Qing
12
2001
Ergodicity for time-changed symmetric stable processes. Zbl 1328.60191
Chen, Zhen-Qing; Wang, Jian
12
2014
Weak convergence of reflecting Brownian motions. Zbl 0901.60052
Burdzy, Krzysztof; Chen, Zen-Qing
12
1998
Uniqueness for reflecting Brownian motion in Lip domains. Zbl 1067.60036
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
12
2005
On doubly Feller property. Zbl 1221.60111
Chen, Zhen-Qing; Kuwae, Kazuhiro
12
2009
On the Robin problem in fractal domains. Zbl 1136.60045
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
12
2008
Pathwise uniqueness for a degenerate stochastic differential equation. Zbl 1139.60027
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing
12
2007
Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components. Zbl 1333.60179
Chen, Zhen-Qing; Kim, Panki; Song, Renming
12
2016
On general perturbations of symmetric Markov processes. Zbl 1176.60070
Chen, Z.-Q.; Fitzsimmons, P. J.; Kuwae, K.; Zhang, T.-S.
11
2009
Stability of Martin boundary under non-local Feynman-Kac perturbations. Zbl 1051.31004
Chen, Zhen-Qing; Kim, Panki
11
2004
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
Global heat kernel estimates for relativistic stable processes in half-space-like open sets. Zbl 1239.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
11
2012
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
11
2010
Switched diffusion processes and systems of elliptic equations: A Dirichlet space approach. Zbl 0807.47056
Chen, Z. Q.; Zhao, Z.
10
1994
Continuity of eigenvalues of subordinate processes in domains. Zbl 1090.60070
Chen, Zhen-Qing; Song, Renming
10
2006
\(L^p\)-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators. Zbl 1397.35072
Chen, Zhen-Qing; Zhang, Xicheng
10
2018
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.
9
1994
Time fractional Poisson equations: representations and estimates. Zbl 1427.35312
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
9
2020
\(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups. Zbl 1263.47053
Chen, Zhen-Qing
9
2012
Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. Zbl 1415.35069
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
9
2019
Properties of switching jump diffusions: maximum principles and Harnack inequalities. Zbl 1440.60075
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George
9
2019
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
Reflection Brownian motions: Quasimartingales and strong Caccioppoli sets. Zbl 0812.60065
Chen, Z. Q.; Fitzsimmons, P. J.; Williams, R. J.
8
1993
The heat equation in time dependent domains with insulated boundaries. Zbl 1087.35046
Burdzy, Chris; Chen, Zhen-Qing; Sylvester, John
8
2004
Coalescence of synchronous couplings. Zbl 1004.60080
Burdzy, Krzysztof; Chen, Zhen-Qing
8
2002
Perturbation by non-local operators. Zbl 1391.60190
Chen, Zhen-Qing; Wang, Jie-Ming
8
2018
Stochastic Komatu-Loewner evolutions and BMD domain constant. Zbl 1380.60076
Chen, Zhen-Qing; Fukushima, Masatoshi
8
2018
Supercritical SDEs driven by multiplicative stable-like Lévy processes. Zbl 07412256
Chen, Zhen-Qing; Zhang, Xicheng; Zhao, Guohuan
2
2021
Homogenization of symmetric stable-like processes in stationary ergodic media. Zbl 1481.60089
Chen, Xin; Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
1
2021
Feynman-Kac transform for anomalous processes. Zbl 1481.60203
Chen, Zhen-Qing; Deng, Weihua; Xu, Pengbo
1
2021
Time fractional Poisson equations: representations and estimates. Zbl 1427.35312
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
9
2020
Heat kernel for non-local operators with variable order. Zbl 1462.60106
Chen, Xin; Chen, Zhen-Qing; Wang, Jian
5
2020
Heat kernel estimates and parabolic Harnack inequalities for symmetric Dirichlet forms. Zbl 1471.60118
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
4
2020
Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms. Zbl 1455.35004
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
4
2020
Hölder regularity and gradient estimates for SDEs driven by cylindrical \(\alpha \)-stable processes. Zbl 1477.60085
Chen, Zhen-Qing; Hao, Zimo; Zhang, Xicheng
3
2020
Elliptic Harnack inequalities for symmetric non-local Dirichlet forms. Zbl 1415.35069
Chen, Zhen-Qing; Kumagai, Takashi; Wang, Jian
9
2019
Properties of switching jump diffusions: maximum principles and Harnack inequalities. Zbl 1440.60075
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George
9
2019
Recurrence and ergodicity for A class of regime-switching jump diffusions. Zbl 1439.60072
Chen, Xiaoshan; Chen, Zhen-Qing; Tran, Ky; Yin, George
5
2019
A multiphase smoothed particle hydrodynamics model with lower numerical diffusion. Zbl 1451.76097
Zheng, B. X.; Chen, Z.
4
2019
\(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups. Zbl 1423.31004
Chen, Zhen-Qing; Kim, Daehong; Kuwae, Kazuhiro
4
2019
Brownian motion on some spaces with varying dimension. Zbl 1466.60165
Chen, Zhen-Qing; Lou, Shuwen
4
2019
Propagation of regularity in \(L^p\)-spaces for Kolmogorov-type hypoelliptic operators. Zbl 1430.42027
Chen, Zhen-Qing; Zhang, Xicheng
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
A kinetic theory-based axisymmetric lattice Boltzmann flux solver for isothermal and thermal swirling flows. Zbl 1452.76188
Zhang, L. Q.; Chen, Z.; Shu, C.; Zhang, M. Q.
2
2019
Small time asymptotics for Brownian motion with singular drift. Zbl 1447.60093
Chen, Zhen-Qing; Fang, Shizan; Zhang, Tusheng
1
2019
Heat kernels for time-dependent non-symmetric stable-like operators. Zbl 06879540
Chen, Zhen-Qing; Zhang, Xicheng
23
2018
Stochastic flows for Lévy processes with Hölder drifts. Zbl 1420.60064
Chen, Zhen-Qing; Song, Renming; Zhang, Xicheng
17
2018
Heat kernel estimates for time fractional equations. Zbl 1401.60088
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi; Wang, Jian
14
2018
\(L^p\)-maximal hypoelliptic regularity of nonlocal kinetic Fokker-Planck operators. Zbl 1397.35072
Chen, Zhen-Qing; Zhang, Xicheng
10
2018
Perturbation by non-local operators. Zbl 1391.60190
Chen, Zhen-Qing; Wang, Jie-Ming
8
2018
Stochastic Komatu-Loewner evolutions and BMD domain constant. Zbl 1380.60076
Chen, Zhen-Qing; Fukushima, Masatoshi
8
2018
Heat kernels for non-symmetric non-local operators. Zbl 1404.35221
Chen, Zhen-Qing; Zhang, Xicheng
5
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
33
2017
Heat kernels for non-symmetric diffusion operators with jumps. Zbl 1386.35131
Chen, Zhen-Qing; Hu, Eryan; Xie, Longjie; Zhang, Xicheng
31
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
7
2017
Stochastic Komatu-Loewner evolutions and SLEs. Zbl 1370.60140
Chen, Zhen-Qing; Fukushima, Masatoshi; Suzuki, Hiroyuki
5
2017
Obliquely reflected Brownian motion in nonsmooth planar domains. Zbl 1392.60069
Burdzy, Krzysztof; Chen, Zhen-Qing; Marshall, Donald; Ramanan, Kavita
4
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
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
46
2016
Uniqueness of stable processes with drift. Zbl 1335.60085
Chen, Zhen-Qing; Wang, Longmin
21
2016
Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components. Zbl 1333.60179
Chen, Zhen-Qing; Kim, Panki; Song, Renming
12
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
Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space. Zbl 1361.60031
Chen, Zhen-Qing; Kim, Panki
7
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
2
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.
45
2015
Fractional time stochastic partial differential equations. Zbl 1322.60106
Chen, Zhen-Qing; Kim, Kyeong-Hun; Kim, Panki
42
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
17
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
14
2015
One-dimensional heat equation with discontinuous conductance. Zbl 1322.60129
Chen, Zhen-Qing; Zili, Mounir
7
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
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
7
2015
Corrigendum to: “Global heat kernel estimates for symmetric jump processes”. Zbl 1330.60102
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
3
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
26
2014
Ergodicity for time-changed symmetric stable processes. Zbl 1328.60191
Chen, Zhen-Qing; Wang, Jian
12
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
6
2014
A probabilistic approach to mixed boundary value problems for elliptic operators with singular coefficients. Zbl 1296.60164
Chen, Zhen-Qing; Zhang, Tusheng
4
2014
Discrete approximation of symmetric jump processes on metric measure spaces. Zbl 1274.60238
Chen, Zhen-Qing; Kim, Panki; Kumagai, Takashi
16
2013
Reflecting random walk in fractal domains. Zbl 1286.60035
Burdzy, Krzysztof; Chen, Zhen-Qing
3
2013
A comparative study of truly incompressible and weakly compressible SPH methods for free surface incompressible flows. Zbl 1455.76036
Chen, Z.; Zong, Z.; Liu, M. B.; Li, H. T.
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
110
2012
Space-time fractional diffusion on bounded domains. Zbl 1251.35177
Chen, Zhen-Qing; Meerschaert, Mark M.; Nane, Erkan
58
2012
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation. Zbl 1264.60060
Chen, Zhen-Qing; Kim, Panki; Song, Renming
50
2012
Sharp heat kernel estimates for relativistic stable processes in open sets. Zbl 1235.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
37
2012
Boundary Harnack principle for \(\Delta +\Delta ^{\alpha /2}\). Zbl 1271.31006
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran
24
2012
Global heat kernel estimate for relativistic stable processes in exterior open sets. Zbl 1255.60076
Chen, Zhen-Qing; Kim, Panki; Song, Renming
16
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
11
2012
\(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups. Zbl 1263.47053
Chen, Zhen-Qing
9
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
Global heat kernel estimates for \(\Delta+\Delta^{\alpha/2}\) in half-space-like domains. Zbl 1247.60115
Chen, Zhen-Qing; Kim, Panki; Song, Renming
2
2012
A localization formula in Dirichlet form theory. Zbl 1245.60070
Chen, Zhen-Qing; Fukushima, Masatoshi
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
62
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
18
2011
Global heat kernel estimates for fractional Laplacians in unbounded open sets. Zbl 1231.60078
Chen, Zhen-Qing; Tokle, Joshua
17
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
4
2011
Archimedes’ principle for Brownian liquid. Zbl 1241.60041
Burdzy, Krzysztof; Chen, Zhen-Qing; Pal, Soumik
3
2011
Heat kernel estimates for the Dirichlet fractional Laplacian. Zbl 1203.60114
Chen, Zhen-Qing; Kim, Panki; Song, Renming
97
2010
Two-sided heat kernel estimates for censored stable-like processes. Zbl 1190.60068
Chen, Zhen-Qing; Kim, Panki; Song, Renming
39
2010
A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps. Zbl 1200.60065
Chen, Zhen-Qing; Kumagai, Takashi
36
2010
Dirichlet heat kernel estimates for \(\Delta ^{\alpha /2} + \delta ^{\beta /2}\). Zbl 1268.60101
Chen, Zhen-Qing; Kim, Panki; Song, Renming
22
2010
Regularity of harmonic functions for a class of singular stable-like processes. Zbl 1201.60055
Bass, Richard F.; Chen, Zhen-Qing
16
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
11
2010
Stationary distributions for diffusions with inert drift. Zbl 1210.60058
Bass, Richard F.; Burdzy, Krzysztof; Chen, Zhen-Qing; Hairer, Martin
7
2010
Non-local Dirichlet forms and symmetric jump processes. Zbl 1166.60045
Barlow, Martin T.; Bass, Richard F.; Chen, Zhen-Qing; Kassmann, Moritz
123
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
34
2009
Symmetric jump processes and their heat kernel estimates. Zbl 1186.60073
Chen, Zhen-Qing
23
2009
On notions of harmonicity. Zbl 1181.60118
Chen, Zhen-Qing
18
2009
Time-reversal and elliptic boundary value problems. Zbl 1187.60064
Chen, Zhen-Qing; Zhang, Tusheng
12
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
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
146
2008
...and 69 more Documents
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Cited by 1,376 Authors

131 Chen, Zhen-Qing
67 Song, Renming
66 Kim, Panki
42 Wang, Jian
30 Kumagai, Takashi
27 Burdzy, Krzysztof
25 Vondraček, Zoran
22 Fukushima, Masatoshi
22 Takeda, Masayoshi
21 Zhang, Xicheng
20 Bogdan, Krzysztof
19 Bass, Richard F.
19 Kuwae, Kazuhiro
18 Kulczycki, Tadeusz
18 Ren, Yanxia
18 Warma, Mahamadi
16 Grigor’yan, Alexander Asaturovich
16 Kaßmann, Moritz
16 Nane, Erkan
16 Ryznar, Michał
16 Zhang, Tusheng S.
15 Grzywny, Tomasz
15 Jakubowski, Tomasz
15 Sun, Wei
14 Kaleta, Kamil
14 Shiozawa, Yuichi
14 Vazquez, Juan Luis
14 Ying, Jiangang
13 Chen, Xin
13 Duan, Jinqiao
13 Kwaśnicki, Mateusz
12 Chen, Huyuan
12 Li, Liping
12 Schilling, René Leander
11 Fitzsimmons, Patrick J.
11 Ma, Zhi-Ming
11 Uemura, Toshihiro
11 Xie, Longjie
10 Foondun, Mohammud
10 Mimica, Ante
10 Sztonyk, Paweł
10 Teplyaev, Alexander
10 Xu, Lihu
9 Barlow, Martin T.
9 Hinz, Michael
9 Kyprianou, Andreas E.
9 Yin, George Gang
8 Hu, Jiaxin
8 Kim, Daehong
8 Knopova, Victoria Pavlovna
8 Masamune, Jun
8 Ros-Oton, Xavier
8 Sire, Yannick
7 Bañuelos, Rodrigo
7 Bonforte, Matteo
7 Kim, KyeongHun
7 Lörinczi, József
7 Tong, Jinying
7 Yan, Litan
7 Zhang, Zhenzhong
7 Zili, Mounir
6 Biswas, Anup
6 Capitanelli, Raffaela
6 Dipierro, Serena
6 D’Ovidio, Mirko
6 Gal, Ciprian Gheorghe Sorin
6 Grubb, Gerd
6 Hansen, Wolfhard
6 Hirata, Kentaro
6 Lv, Guangying
6 Mâagli, Habib
6 Małecki, Jacek
6 Murugan, Mathav Kishore
6 Pietruska-Pałuba, Katarzyna
6 Röckner, Michael
6 Topp, Erwin
6 Tsuchida, Kaneharu
6 Wang, Jieming
6 Yang, Xue
6 Zhao, GuoHuan
5 Abatangelo, Nicola
5 Acuña Valverde, Luis
5 Andres, Sebastian
5 Barles, Guy
5 Chen, Chuanzhong
5 Deng, Weihua
5 Dyda, Bartłomiej
5 Fall, Mouhamed Moustapha
5 Hu, Eryan
5 Keller, Matthias
5 Kim, Ildoo
5 Kim, Kyung Youn
5 Kolokoltsov, Vassili N.
5 Kulik, Alexey M.
5 Lou, Shuwen
5 Menozzi, Stéphane
5 Nguyen Huy Tuan
5 Proske, Frank Norbert
5 Sun, Wenjie
5 Szczypkowski, Karol
...and 1,276 more Authors
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Cited in 248 Serials

103 Potential Analysis
91 Stochastic Processes and their Applications
65 Journal of Functional Analysis
57 The Annals of Probability
56 Transactions of the American Mathematical Society
44 Journal of Mathematical Analysis and Applications
42 Journal of Theoretical Probability
41 Journal of Differential Equations
39 Probability Theory and Related Fields
37 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Proceedings of the American Mathematical Society
23 Fractional Calculus & Applied Analysis
23 Science China. Mathematics
22 Bernoulli
19 Statistics & Probability Letters
17 Electronic Journal of Probability
17 Discrete and Continuous Dynamical Systems
16 Mathematische Zeitschrift
16 Journal of Evolution Equations
15 The Annals of Applied Probability
14 Mathematische Annalen
14 Tôhoku Mathematical Journal. Second Series
14 Stochastic Analysis and Applications
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Illinois Journal of Mathematics
13 Journal of the Mathematical Society of Japan
13 Calculus of Variations and Partial Differential Equations
12 Computers & Mathematics with Applications
12 Acta Applicandae Mathematicae
12 Communications in Partial Differential Equations
11 Communications in Mathematical Physics
11 Advances in Mathematics
11 Mathematische Nachrichten
11 Forum Mathematicum
11 Stochastics and Dynamics
11 Communications on Pure and Applied Analysis
10 Journal of Statistical Physics
10 Osaka Journal of Mathematics
10 SIAM Journal on Mathematical Analysis
9 Archive for Rational Mechanics and Analysis
9 Journal of Mathematical Physics
9 Acta Mathematica Sinica. English Series
9 Discrete and Continuous Dynamical Systems. Series B
8 Applicable Analysis
8 Frontiers of Mathematics in China
7 Applied Mathematics and Optimization
7 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 Journal d’Analyse Mathématique
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Journal of Applied Probability
6 Journal of Computational and Applied Mathematics
6 NoDEA. Nonlinear Differential Equations and Applications
6 Positivity
6 Stochastics
6 Advances in Nonlinear Analysis
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 SIAM Journal on Control and Optimization
5 Applied Mathematics Letters
5 The Journal of Geometric Analysis
5 Bulletin des Sciences Mathématiques
5 Electronic Communications in Probability
5 Infinite Dimensional Analysis, Quantum Probability and Related Topics
5 Communications in Contemporary Mathematics
5 Stochastic and Partial Differential Equations. Analysis and Computations
5 Modern Stochastics. Theory and Applications
4 Journal of Computational Physics
4 Studia Mathematica
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 Dynamics and Differential Equations
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 Physica A
3 Reviews in Mathematical Physics
3 Chaos, Solitons and Fractals
3 Annales de l’Institut Fourier
3 Integral Equations and Operator Theory
3 Semigroup Forum
3 Journal of the American Mathematical Society
3 Applied Mathematical Modelling
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Theory of Probability and Mathematical Statistics
3 Applied and Computational Harmonic Analysis
3 Journal of Mathematical Sciences (New York)
3 Advances in Computational Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 Analysis & PDE
3 Journal of Spectral Theory
3 Communications in Mathematics and Statistics
2 Computer Methods in Applied Mechanics and Engineering
2 International Journal of Control
...and 148 more Serials
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Cited in 48 Fields

1,031 Probability theory and stochastic processes (60-XX)
640 Partial differential equations (35-XX)
269 Potential theory (31-XX)
243 Operator theory (47-XX)
67 Real functions (26-XX)
62 Numerical analysis (65-XX)
51 Integral equations (45-XX)
49 Functional analysis (46-XX)
47 Measure and integration (28-XX)
45 Global analysis, analysis on manifolds (58-XX)
39 Statistical mechanics, structure of matter (82-XX)
36 Ordinary differential equations (34-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
27 Functions of a complex variable (30-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
27 Systems theory; control (93-XX)
19 Fluid mechanics (76-XX)
19 Quantum theory (81-XX)
18 Biology and other natural sciences (92-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Differential geometry (53-XX)
14 Statistics (62-XX)
13 Combinatorics (05-XX)
10 Special functions (33-XX)
10 Classical thermodynamics, heat transfer (80-XX)
10 Operations research, mathematical programming (90-XX)
9 Mechanics of deformable solids (74-XX)
5 Approximations and expansions (41-XX)
4 Difference and functional equations (39-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geophysics (86-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mechanics of particles and systems (70-XX)
2 Optics, electromagnetic theory (78-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Computer science (68-XX)

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