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Author ID: zhao.zhongxin Recent zbMATH articles by "Zhao, Zhongxin"
Published as: Zhao, Z.; Zhao, Zhongxin; Zhao, Zhong Xin; Zhao, Zhong xin; Zhao, Zhong-xin
Documents Indexed: 64 Publications since 1979, including 2 Books
Co-Authors: 30 Co-Authors with 42 Joint Publications
1,018 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 866 times in 601 Documents Cited by Year
From Brownian motion to Schrödinger’s equation. Zbl 0819.60068
Chung, Kai L.; Zhao, Zhongxin
195
1995
Green function for Schrödinger operator and conditioned Feynman-Kac gauge. Zbl 0608.35012
Zhao, Zhongxin
80
1986
Conditional gauge and potential theory for the Schrödinger operator. Zbl 0652.60076
Cranston, M.; Fabes, E.; Zhao, Z.
63
1988
On the existence of positive solutions of nonlinear elliptic equations – a probabilistic potential theory approach. Zbl 0793.35032
Zhao, Z.
36
1993
Positive solutions of nonlinear second order ordinary differential equations. Zbl 0802.34026
Zhao, Z.
30
1994
Subcriticality and gaugeability of the Schrödinger operator. Zbl 0765.60063
Zhao, Z.
29
1992
Singular solutions of semilinear elliptic and parabolic equations. Zbl 0907.35047
Zhang, Qi S.; Zhao, Z.
29
1998
Conditional transformation of drift formula and potential theory for \(\Delta +b(\cdot)\cdot \nabla\). Zbl 0647.60071
Cranston, M.; Zhao, Z.
29
1987
A probabilistic principle and generalized Schrödinger perturbation. Zbl 0748.60069
Zhao, Z.
28
1991
Limits of soliton solutions. Zbl 0811.35122
Gesztesy, F.; Karwowski, W.; Zhao, Z.
23
1992
Conditional gauge with unbounded potential. Zbl 0521.60074
Zhao, Zhongxin
21
1983
Diffusion processes and second order elliptic operators with singular coefficients for lower order terms. Zbl 0876.35029
Chen, Z. Q.; Zhao, Z.
20
1995
Potential theory for elliptic systems. Zbl 0854.60062
Chen, Z. Q.; Zhao, Z.
19
1996
Positive solutions of nonlinear elliptic equations in the Euclidean plane. Zbl 0905.60054
Ufuktepe, U.; Zhao, Z.
17
1998
Uniform boundedness of conditional gauge and Schrödinger equations. Zbl 0545.35087
Zhao, Zhongxin
17
1984
Higher order trace relations for Schrödinger operators. Zbl 0833.34084
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
14
1995
On critical and subcritical Sturm-Liouville operators. Zbl 0726.35119
Gesztesy, F.; Zhao, Z.
14
1991
Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1993
Harnack principle for weakly coupled elliptic systems. Zbl 0882.35039
Chen, Z.-Q.; Zhao, Z.
13
1997
A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030
Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z.
13
1996
On the Toda and Kac-van Moerbeke systems. Zbl 0789.58043
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
12
1993
Subcriticality, positivity, and gaugeability of the Schrödinger operator. Zbl 0744.35042
Zhao, Z.
12
1990
Killed diffusions and their conditioning. Zbl 0631.60073
Gong, Guanglu; Qian, Minping; Zhao, Zhongxin
12
1988
Spectral properties of population operator and asymptotic behaviour of population semigroup. Zbl 0521.92019
Song, Jian; Yu, Jing yuan; Wang, Xian zu; Hu, Shun ju; Zhao, Zhong xin; Liu, Jia quan; Feng, De xing; Zhu, Guang tian
11
1982
Switched diffusion processes and systems of elliptic equations: A Dirichlet space approach. Zbl 0807.47056
Chen, Z. Q.; Zhao, Z.
10
1994
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
Green’s functions for the Schrödinger equation with short-range potentials. Zbl 0728.35027
Herbst, Ira W.; Zhao, Zhongxin
9
1989
Potential theory for the Schrödinger equation. Zbl 0613.60068
Cranston, M.; Fabes, E.; Zhao, Z.
9
1986
Critical and subcritical Jacobi operators defined as Friedrichs extensions. Zbl 0807.47004
Gesztesy, F.; Zhao, Z.
8
1993
Global asymptotic behavior of solutions of a semilinear parabolic equation. Zbl 0887.35074
Zhang, Qi S.; Zhao, Z.
8
1998
From Brownian motion to Schrödinger’s equation. 2nd corrected printing. Zbl 1195.60002
Chung, Kai L.; Zhao, Zhongxin
8
2001
New types of soliton solutions. Zbl 0760.35039
Gesztesy, F.; Karwowski, W.; Zhao, Z.
6
1992
On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions. Zbl 0942.35082
Chen, Z.-Q.; Williams, R. J.; Zhao, Z.
6
1999
Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators. Zbl 0791.60072
Gesztesy, F.; Zhao, Z.
6
1994
A Sobolev inequality and Neumann heat kernel estimate for unbounded domains. Zbl 0847.46014
Chen, Z. Q.; Williams, R. J.; Zhao, Z.
6
1994
Sobolev spaces, Kac-regularity, and the Feynman-Kac formula. Zbl 0656.60089
Herbst, Ira W.; Zhao, Zhongxin
5
1988
On positive solutions of critical Schrödinger operators in two dimensions. Zbl 0821.35035
Gesztesy, F.; Zhao, Z.
5
1995
Sharp bounds for ground state eigenfunctions on domains with Horns and cusps. Zbl 0889.35071
Lindeman, A. II; Pang, M. M. H.; Zhao, Z.
4
1997
Estimates of global bounds for some Schrödinger heat kernels on manifolds. Zbl 0985.35016
Zhang, Qi S.; Zhao, Z.
3
2000
The local Feynman-Kac semigroup. Zbl 0618.47038
Zhao, Zhongxin
3
1982
Schrödinger conditional Brownian motion and stochastic calculus of variations. Zbl 0601.60079
Zhao, Zhongxin
2
1986
A-complete space and the closed graph theorem. Zbl 0509.46005
Zhu, Qiding; Zhao, Zhongxin
2
1981
Extension of domains with finite gauge. Zbl 0519.60080
Chung, K. L.; Durrett, R.; Zhao, Zhongxin
2
1983
On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions. Zbl 0814.35034
Chen, Z. Q.; Williams, R. J.; Zhao, Z.
1
1995
Penalized sample average approximation methods for stochastic programs in economic and secure dispatch of a power system. Zbl 1397.90246
Tong, X. J.; Xu, H.; Wu, F. F.; Zhao, Z.
1
2016
Gaussian integrals on Wiener spaces. Zbl 0761.60033
Helfer, Adam D.; Zhao, Zhongxin
1
1992
Some regularity results and eigenfunction estimates for the Schrödinger operator. Zbl 0722.60065
Cranston, M.; Zhao, Z.
1
1990
Green functions and conditioned Gauge theorem for a 2-dimensional domain. Zbl 0667.35065
Zhao, Z.
1
1988
Penalized sample average approximation methods for stochastic programs in economic and secure dispatch of a power system. Zbl 1397.90246
Tong, X. J.; Xu, H.; Wu, F. F.; Zhao, Z.
1
2016
From Brownian motion to Schrödinger’s equation. 2nd corrected printing. Zbl 1195.60002
Chung, Kai L.; Zhao, Zhongxin
8
2001
Estimates of global bounds for some Schrödinger heat kernels on manifolds. Zbl 0985.35016
Zhang, Qi S.; Zhao, Z.
3
2000
On the existence of positive solutions for semilinear elliptic equations with singular lower order coefficients and Dirichlet boundary conditions. Zbl 0942.35082
Chen, Z.-Q.; Williams, R. J.; Zhao, Z.
6
1999
Singular solutions of semilinear elliptic and parabolic equations. Zbl 0907.35047
Zhang, Qi S.; Zhao, Z.
29
1998
Positive solutions of nonlinear elliptic equations in the Euclidean plane. Zbl 0905.60054
Ufuktepe, U.; Zhao, Z.
17
1998
Global asymptotic behavior of solutions of a semilinear parabolic equation. Zbl 0887.35074
Zhang, Qi S.; Zhao, Z.
8
1998
Harnack principle for weakly coupled elliptic systems. Zbl 0882.35039
Chen, Z.-Q.; Zhao, Z.
13
1997
Sharp bounds for ground state eigenfunctions on domains with Horns and cusps. Zbl 0889.35071
Lindeman, A. II; Pang, M. M. H.; Zhao, Z.
4
1997
Potential theory for elliptic systems. Zbl 0854.60062
Chen, Z. Q.; Zhao, Z.
19
1996
A trace formula for multidimensional Schrödinger operators. Zbl 0864.35030
Gesztesy, F.; Holden, H.; Simon, B.; Zhao, Z.
13
1996
From Brownian motion to Schrödinger’s equation. Zbl 0819.60068
Chung, Kai L.; Zhao, Zhongxin
195
1995
Diffusion processes and second order elliptic operators with singular coefficients for lower order terms. Zbl 0876.35029
Chen, Z. Q.; Zhao, Z.
20
1995
Higher order trace relations for Schrödinger operators. Zbl 0833.34084
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
14
1995
On positive solutions of critical Schrödinger operators in two dimensions. Zbl 0821.35035
Gesztesy, F.; Zhao, Z.
5
1995
On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions. Zbl 0814.35034
Chen, Z. Q.; Williams, R. J.; Zhao, Z.
1
1995
Positive solutions of nonlinear second order ordinary differential equations. Zbl 0802.34026
Zhao, Z.
30
1994
Switched diffusion processes and systems of elliptic equations: A Dirichlet space approach. Zbl 0807.47056
Chen, Z. Q.; Zhao, Z.
10
1994
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
Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators. Zbl 0791.60072
Gesztesy, F.; Zhao, Z.
6
1994
A Sobolev inequality and Neumann heat kernel estimate for unbounded domains. Zbl 0847.46014
Chen, Z. Q.; Williams, R. J.; Zhao, Z.
6
1994
On the existence of positive solutions of nonlinear elliptic equations – a probabilistic potential theory approach. Zbl 0793.35032
Zhao, Z.
36
1993
Trace formulae and inverse spectral theory for Schrödinger operators. Zbl 0786.34081
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
13
1993
On the Toda and Kac-van Moerbeke systems. Zbl 0789.58043
Gesztesy, Fritz; Holden, Helge; Simon, Barry; Zhao, Zhong Xin
12
1993
Critical and subcritical Jacobi operators defined as Friedrichs extensions. Zbl 0807.47004
Gesztesy, F.; Zhao, Z.
8
1993
Subcriticality and gaugeability of the Schrödinger operator. Zbl 0765.60063
Zhao, Z.
29
1992
Limits of soliton solutions. Zbl 0811.35122
Gesztesy, F.; Karwowski, W.; Zhao, Z.
23
1992
New types of soliton solutions. Zbl 0760.35039
Gesztesy, F.; Karwowski, W.; Zhao, Z.
6
1992
Gaussian integrals on Wiener spaces. Zbl 0761.60033
Helfer, Adam D.; Zhao, Zhongxin
1
1992
A probabilistic principle and generalized Schrödinger perturbation. Zbl 0748.60069
Zhao, Z.
28
1991
On critical and subcritical Sturm-Liouville operators. Zbl 0726.35119
Gesztesy, F.; Zhao, Z.
14
1991
Subcriticality, positivity, and gaugeability of the Schrödinger operator. Zbl 0744.35042
Zhao, Z.
12
1990
Some regularity results and eigenfunction estimates for the Schrödinger operator. Zbl 0722.60065
Cranston, M.; Zhao, Z.
1
1990
Green’s functions for the Schrödinger equation with short-range potentials. Zbl 0728.35027
Herbst, Ira W.; Zhao, Zhongxin
9
1989
Conditional gauge and potential theory for the Schrödinger operator. Zbl 0652.60076
Cranston, M.; Fabes, E.; Zhao, Z.
63
1988
Killed diffusions and their conditioning. Zbl 0631.60073
Gong, Guanglu; Qian, Minping; Zhao, Zhongxin
12
1988
Sobolev spaces, Kac-regularity, and the Feynman-Kac formula. Zbl 0656.60089
Herbst, Ira W.; Zhao, Zhongxin
5
1988
Green functions and conditioned Gauge theorem for a 2-dimensional domain. Zbl 0667.35065
Zhao, Z.
1
1988
Conditional transformation of drift formula and potential theory for \(\Delta +b(\cdot)\cdot \nabla\). Zbl 0647.60071
Cranston, M.; Zhao, Z.
29
1987
Green function for Schrödinger operator and conditioned Feynman-Kac gauge. Zbl 0608.35012
Zhao, Zhongxin
80
1986
Potential theory for the Schrödinger equation. Zbl 0613.60068
Cranston, M.; Fabes, E.; Zhao, Z.
9
1986
Schrödinger conditional Brownian motion and stochastic calculus of variations. Zbl 0601.60079
Zhao, Zhongxin
2
1986
Uniform boundedness of conditional gauge and Schrödinger equations. Zbl 0545.35087
Zhao, Zhongxin
17
1984
Conditional gauge with unbounded potential. Zbl 0521.60074
Zhao, Zhongxin
21
1983
Extension of domains with finite gauge. Zbl 0519.60080
Chung, K. L.; Durrett, R.; Zhao, Zhongxin
2
1983
Spectral properties of population operator and asymptotic behaviour of population semigroup. Zbl 0521.92019
Song, Jian; Yu, Jing yuan; Wang, Xian zu; Hu, Shun ju; Zhao, Zhong xin; Liu, Jia quan; Feng, De xing; Zhu, Guang tian
11
1982
The local Feynman-Kac semigroup. Zbl 0618.47038
Zhao, Zhongxin
3
1982
A-complete space and the closed graph theorem. Zbl 0509.46005
Zhu, Qiding; Zhao, Zhongxin
2
1981
all top 5

Cited by 582 Authors

33 Chen, Zhen-Qing
27 Song, Renming
23 Mâagli, Habib
22 Zhao, Zhongxin
18 Kim, Panki
17 Gesztesy, Fritz
13 Bogdan, Krzysztof
13 Sweers, Guido H.
12 Bachar, Imed
11 Hirata, Kentaro
10 Jakubowski, Tomasz
9 Zhang, Qi-Shuhuason
9 Zribi, Malek
8 Simon, Barry
8 Verbitsky, Igor E.
7 Grzywny, Tomasz
7 Kuwae, Kazuhiro
7 Masmoudi, Syrine
7 Ren, Yanxia
7 Riahi, Lotfi
7 Takeda, Masayoshi
7 Zeddini, Noureddine
7 Zhang, Tusheng S.
6 Hansen, Wolfhard
6 Hwang, Chi-Ok
6 Kaleta, Kamil
6 Ryznar, Michał
6 Vondraček, Zoran
6 Wang, Jian
5 Byczkowski, Tomasz
5 Chen, Xin
5 Deng, Jiqin
5 Graczyk, Piotr
5 Kim, Daehong
5 Klimsiak, Tomasz
5 Kulczycki, Tadeusz
5 Ma, Zhi-Ming
5 Małecki, Jacek
5 Mustafa, Octavian G.
5 Rybkin, Alexei
5 Tsuchida, Kaneharu
5 Yin, Zhaoyang
4 Aslanov, Afgan
4 Bañuelos, Rodrigo
4 Ben Chrouda, Mohamed
4 Branquinho, Amílcar José Pinto Lopes
4 Faddeev, Mikhaĭl Mikhaĭlovich
4 Grigor’yan, Alexander Asaturovich
4 Hasil, Petr
4 Holden, Helge
4 Kwaśnicki, Mateusz
4 Maz’ya, Vladimir Gilelevich
4 Papanicolaou, Vassilis G.
4 Smorodina, Natal’ya Vasil’evna
4 Takahashi, Jin
4 Xi, Fubao
3 Albeverio, Sergio A.
3 Bass, Richard F.
3 Chen, Jinwen
3 Došlý, Ondřej
3 Foulquié Moreno, Ana Pilar
3 Hegoburu, Nicolas
3 Ibragimov, Il’dar Abdullovich
3 Ishige, Kazuhiro
3 Jian, Siqi
3 Kim, Kyung Youn
3 Li, Yimei
3 Lörinczi, József
3 Luks, Tomasz
3 Mâatoug, Lamia
3 Mascagni, Michael V.
3 Philos, Christos G.
3 Pinchover, Yehuda
3 Rao, Murali
3 Renger, Walter
3 Rogovchenko, Yuri V.
3 Shao, Jinghai
3 Shiozawa, Yuichi
3 Stós, Andrzej
3 Sturm, Karl-Theodor
3 Sun, Wei
3 Szczypkowski, Karol
3 Teschl, Gerald
3 Tucsnak, Marius
3 Wang, Jieming
3 Yanagida, Eiji
3 Yang, Chuanfu
2 Agarwal, Ravi P.
2 Ancona, Alano
2 Arapostathis, Aristotle
2 Area, Iván
2 Arendt, Wolfgang
2 Arioua, Yacine
2 Bao, Jiguang
2 Belhaj Rhouma, Nedra
2 Ben Boubaker, Mohamed Amine
2 Ben Fredj, Mahmoud
2 Ben Othman, Sonia
2 Beznea, Lucian
2 Biočić, Ivan
...and 482 more Authors
all top 5

Cited in 172 Serials

40 Potential Analysis
32 Journal of Functional Analysis
27 Journal of Mathematical Analysis and Applications
27 Transactions of the American Mathematical Society
25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal of Differential Equations
19 Stochastic Processes and their Applications
15 Probability Theory and Related Fields
13 The Annals of Probability
13 Mathematische Annalen
12 Communications in Mathematical Physics
12 Journal of Theoretical Probability
11 Proceedings of the American Mathematical Society
10 Journal d’Analyse Mathématique
10 Mathematische Zeitschrift
9 Journal of Mathematical Physics
9 Abstract and Applied Analysis
8 Duke Mathematical Journal
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Science China. Mathematics
6 Applied Mathematics Letters
6 Communications in Partial Differential Equations
5 Mathematische Nachrichten
5 Monatshefte für Mathematik
5 Bulletin of the American Mathematical Society. New Series
5 Positivity
5 Journal of Evolution Equations
4 Annales de l’Institut Fourier
4 Illinois Journal of Mathematics
4 Manuscripta Mathematica
4 Mathematics and Computers in Simulation
4 Stochastic Analysis and Applications
4 Acta Applicandae Mathematicae
4 Physica D
4 Electronic Journal of Probability
4 Acta Mathematica Sinica. English Series
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Computational and Applied Mathematics
3 Journal of the Mathematical Society of Japan
3 SIAM Journal on Control and Optimization
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Revista Matemática Iberoamericana
3 SIAM Journal on Mathematical Analysis
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Calculus of Variations and Partial Differential Equations
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Stochastics and Dynamics
3 Analysis and Applications (Singapore)
3 Boundary Value Problems
3 Mathematical Control and Related Fields
2 Communications on Pure and Applied Mathematics
2 Studia Mathematica
2 Arkiv för Matematik
2 Reviews in Mathematical Physics
2 Theory of Probability and its Applications
2 Acta Mathematica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Inventiones Mathematicae
2 Nagoya Mathematical Journal
2 Journal of Scientific Computing
2 Science in China. Series A
2 The Annals of Applied Probability
2 Journal of Dynamics and Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Difference Equations and Applications
2 Annales Henri Poincaré
2 Differential Equations
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Communications on Pure and Applied Analysis
2 Mediterranean Journal of Mathematics
2 Complex Analysis and Operator Theory
2 Frontiers of Mathematics in China
2 Journal of Physics A: Mathematical and Theoretical
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Spectral Theory
2 Journal of Function Spaces
2 Nonlinear Analysis. Theory, Methods & Applications
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nonlinearity
1 Stochastics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 The Annals of Statistics
1 Annales Polonici Mathematici
1 Canadian Journal of Mathematics
1 Glasgow Mathematical Journal
1 Integral Equations and Operator Theory
...and 72 more Serials
all top 5

Cited in 38 Fields

308 Partial differential equations (35-XX)
260 Probability theory and stochastic processes (60-XX)
123 Operator theory (47-XX)
96 Potential theory (31-XX)
77 Ordinary differential equations (34-XX)
32 Quantum theory (81-XX)
28 Dynamical systems and ergodic theory (37-XX)
25 Global analysis, analysis on manifolds (58-XX)
18 Biology and other natural sciences (92-XX)
17 Numerical analysis (65-XX)
14 Systems theory; control (93-XX)
11 Functional analysis (46-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
7 Difference and functional equations (39-XX)
6 Measure and integration (28-XX)
6 Integral equations (45-XX)
6 Differential geometry (53-XX)
5 Real functions (26-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 Algebraic geometry (14-XX)
3 Integral transforms, operational calculus (44-XX)
3 Fluid mechanics (76-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year