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## Wang, Caishi

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 Author ID: wang.caishi Published as: Wang, C.; Wang, Cai Shi; Wang, Cai-shi; Wang, Caishi External Links: ORCID
 Documents Indexed: 56 Publications since 1994, including 1 Book
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#### Co-Authors

 6 single-authored 11 Huang, Zhiyuan 8 Chen, Jinshu 7 Wang, Xiangjun 5 Ren, Suling 5 Tang, Yuling 4 Han, Qi 4 Kang, Yuanbao 3 Zhou, Yulan 2 Chai, Huifang 2 Lu, Yanchun 2 Qu, Mingshuang 2 Wang, Ce 2 Zhang, Jihong 1 Chen, Yin 1 Cheng, Dan 1 Chew, Tuan Seng 1 Ding, Chuansong 1 Duan, Jinqiao 1 Feng, Decheng 1 Huang, Ailing 1 Lin, Shuai 1 Liu, Yan 1 Liu, Yuewen 1 Lu, Xiangying 1 Luo, Shunlong 1 Pu, Liqin 1 Shi, Jia 1 Wang, Beiping 1 Wang, Wenling 1 Ye, Xiaojuan 1 Zhang, Lixia 1 Zhang, Yin
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#### Serials

 6 Journal of Mathematical Physics 5 Quantum Information Processing 4 Bulletin of the Australian Mathematical Society 4 Journal of Mathematical Analysis and Applications 4 Journal of Function Spaces 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Acta Mathematica Sinica. English Series 3 Advances in Mathematical Physics 2 Mathematica Applicata 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Physica A 1 Acta Mathematica Sinica 1 Proceedings of the American Mathematical Society 1 Real Analysis Exchange 1 Journal of Mathematical Research & Exposition 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Chinese Journal of Applied Probability and Statistics 1 Journal of Theoretical Probability 1 Journal of Sichuan Normal University. Natural Science 1 Journal of Northwest Normal University. Natural Science 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Shandong University. Natural Science 1 Journal of Lanzhou University of Technology 1 Interdisciplinary Mathematical Sciences
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#### Fields

 42 Probability theory and stochastic processes (60-XX) 27 Quantum theory (81-XX) 10 Functional analysis (46-XX) 7 Operator theory (47-XX) 4 Partial differential equations (35-XX) 3 Number theory (11-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 109 times in 50 Documents Cited by Year
An alternative approach to Privault’s discrete-time chaotic calculus. Zbl 1205.60106
Wang, Caishi; Lu, Yanchun; Chai, Huifang
2011
Discrete-time quantum Bernoulli noises. Zbl 1310.81107
Wang, Caishi; Chai, Huifang; Lu, Yanchun
2010
Quantum cable equations in terms of generalized operators. Zbl 0978.60075
Huang, Zhiyuan; Wang, Caishi; Wang, Xiangjun
2000
Quantum Markov semigroups constructed from quantum Bernoulli noises. Zbl 1332.81107
Wang, Caishi; Chen, Jinshu
2016
Characterization theorems for generalized functionals of discrete-time normal martingale. Zbl 1321.60083
Wang, Caishi; Chen, Jinshu
2015
Wick analysis for Bernoulli noise functionals. Zbl 1307.46031
Wang, Caishi; Zhang, Jihong
2014
A white noise approach to infinitely divisible distributions on Gel’fand triple. Zbl 1086.60012
Wang, Caishi; Qu, Mingshuang; Chen, Jinshu
2006
$$\delta$$-function of an operator: A white noise approach. Zbl 1055.60068
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun
2005
A filtration of Wick algebra and its application to quantum SDEs. Zbl 1081.60537
Wang, Caishi; Huang, Zhiyuan
2004
A characterization of operators on functionals of discrete-time normal martingales. Zbl 1359.60088
Wang, Caishi; Chen, Jinshu
2017
The stationary measure of a space-inhomogeneous three-state quantum walk on the line. Zbl 1311.81167
Wang, Caishi; Lu, Xiangying; Wang, Wenling
2015
Analytic characterization for Hilbert-Schmidt operators on Fock space. Zbl 1082.81056
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun
2005
An integral involving Thomson’s local systems. Zbl 0802.26004
Wang, Cai-shi; Ding, Chuan-Song
1994
Quantum walk in terms of quantum Bernoulli noises. Zbl 1338.81261
Wang, Caishi; Ye, Xiaojuan
2016
Localization of quantum Bernoulli noises. Zbl 1288.81065
Wang, Caishi; Zhang, Jihong
2013
A new idea to define the $$\delta$$-function of an observable in the context of white noise analysis. Zbl 1081.60053
Wang, Caishi
2005
Linear stochastic Schrödinger equations in terms of quantum Bernoulli noises. Zbl 1364.81164
Chen, Jinshu; Wang, Caishi
2017
Convergence theorems for generalized functional sequences of discrete-time normal martingales. Zbl 1329.60080
Wang, Caishi; Chen, Jinshu
2015
Quantum stochastic integral representations on interacting Fock space. Zbl 1328.81143
Kang, Yuanbao; Wang, Caishi
2015
Terahertz radiation induced chaotic electron transport in semiconductor superlattices with a tilted magnetic field. Zbl 1374.82042
Wang, C.; Wang, F.; Cao, J. C.
2014
Weighted number operators on Bernoulli functionals and quantum exclusion semigroups. Zbl 1427.81058
Wang, Caishi; Tang, Yuling; Ren, Suling
2019
Open quantum random walk in terms of quantum Bernoulli noise. Zbl 1386.81048
Wang, Caishi; Wang, Ce; Ren, Suling; Tang, Yuling
2018
Quantum random walk polynomial and quantum random walk measure. Zbl 1291.81203
Kang, Yuanbao; Wang, Caishi
2014
Convolution of functionals of discrete-time normal martingales. Zbl 1267.60079
Han, Qi; Wang, Caishi; Zhou, Yulan
2012
Coherent states in Bernoulli noise functionals. Zbl 1220.60041
Wang, Caishi; Han, Qi
2011
Recent development in stochastic dynamics and stochastic analysis. Dedicated to Zhi-Yuan Zhang on the occasion of his 75th birthday. Zbl 1191.60005
Duan, Jinqiao (ed.); Luo, Shunlong (ed.); Wang, Caishi (ed.)
2010
A moment characterization of $$B$$-valued generalized functionals of white noise. Zbl 1101.60051
Wang, Cai Shi; Huang, Zhiyuan
2006
A $$W$$-transform-based criterion for the existence of bounded extensions of $$E$$-operators. Zbl 1061.47019
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun
2003
Quantum integral equations of Volterra type with generalized operator-valued kernels. Zbl 0979.60099
Huang, Zhiyuan; Wang, Caishi; Wang, Xiangjun
2000
Nonlinear flexural excitations and drill-string dynamics. Zbl 0977.74533
Tucker, R. W.; Tung, R. S.; Wang, C.
1999
Weighted number operators on Bernoulli functionals and quantum exclusion semigroups. Zbl 1427.81058
Wang, Caishi; Tang, Yuling; Ren, Suling
2019
Open quantum random walk in terms of quantum Bernoulli noise. Zbl 1386.81048
Wang, Caishi; Wang, Ce; Ren, Suling; Tang, Yuling
2018
A characterization of operators on functionals of discrete-time normal martingales. Zbl 1359.60088
Wang, Caishi; Chen, Jinshu
2017
Linear stochastic Schrödinger equations in terms of quantum Bernoulli noises. Zbl 1364.81164
Chen, Jinshu; Wang, Caishi
2017
Quantum Markov semigroups constructed from quantum Bernoulli noises. Zbl 1332.81107
Wang, Caishi; Chen, Jinshu
2016
Quantum walk in terms of quantum Bernoulli noises. Zbl 1338.81261
Wang, Caishi; Ye, Xiaojuan
2016
Characterization theorems for generalized functionals of discrete-time normal martingale. Zbl 1321.60083
Wang, Caishi; Chen, Jinshu
2015
The stationary measure of a space-inhomogeneous three-state quantum walk on the line. Zbl 1311.81167
Wang, Caishi; Lu, Xiangying; Wang, Wenling
2015
Convergence theorems for generalized functional sequences of discrete-time normal martingales. Zbl 1329.60080
Wang, Caishi; Chen, Jinshu
2015
Quantum stochastic integral representations on interacting Fock space. Zbl 1328.81143
Kang, Yuanbao; Wang, Caishi
2015
Wick analysis for Bernoulli noise functionals. Zbl 1307.46031
Wang, Caishi; Zhang, Jihong
2014
Terahertz radiation induced chaotic electron transport in semiconductor superlattices with a tilted magnetic field. Zbl 1374.82042
Wang, C.; Wang, F.; Cao, J. C.
2014
Quantum random walk polynomial and quantum random walk measure. Zbl 1291.81203
Kang, Yuanbao; Wang, Caishi
2014
Localization of quantum Bernoulli noises. Zbl 1288.81065
Wang, Caishi; Zhang, Jihong
2013
Convolution of functionals of discrete-time normal martingales. Zbl 1267.60079
Han, Qi; Wang, Caishi; Zhou, Yulan
2012
An alternative approach to Privault’s discrete-time chaotic calculus. Zbl 1205.60106
Wang, Caishi; Lu, Yanchun; Chai, Huifang
2011
Coherent states in Bernoulli noise functionals. Zbl 1220.60041
Wang, Caishi; Han, Qi
2011
Discrete-time quantum Bernoulli noises. Zbl 1310.81107
Wang, Caishi; Chai, Huifang; Lu, Yanchun
2010
Recent development in stochastic dynamics and stochastic analysis. Dedicated to Zhi-Yuan Zhang on the occasion of his 75th birthday. Zbl 1191.60005
Duan, Jinqiao (ed.); Luo, Shunlong (ed.); Wang, Caishi (ed.)
2010
A white noise approach to infinitely divisible distributions on Gel’fand triple. Zbl 1086.60012
Wang, Caishi; Qu, Mingshuang; Chen, Jinshu
2006
A moment characterization of $$B$$-valued generalized functionals of white noise. Zbl 1101.60051
Wang, Cai Shi; Huang, Zhiyuan
2006
$$\delta$$-function of an operator: A white noise approach. Zbl 1055.60068
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun
2005
Analytic characterization for Hilbert-Schmidt operators on Fock space. Zbl 1082.81056
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun
2005
A new idea to define the $$\delta$$-function of an observable in the context of white noise analysis. Zbl 1081.60053
Wang, Caishi
2005
A filtration of Wick algebra and its application to quantum SDEs. Zbl 1081.60537
Wang, Caishi; Huang, Zhiyuan
2004
A $$W$$-transform-based criterion for the existence of bounded extensions of $$E$$-operators. Zbl 1061.47019
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun
2003
Quantum cable equations in terms of generalized operators. Zbl 0978.60075
Huang, Zhiyuan; Wang, Caishi; Wang, Xiangjun
2000
Quantum integral equations of Volterra type with generalized operator-valued kernels. Zbl 0979.60099
Huang, Zhiyuan; Wang, Caishi; Wang, Xiangjun
2000
Nonlinear flexural excitations and drill-string dynamics. Zbl 0977.74533
Tucker, R. W.; Tung, R. S.; Wang, C.
1999
An integral involving Thomson’s local systems. Zbl 0802.26004
Wang, Cai-shi; Ding, Chuan-Song
1994
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#### Cited by 49 Authors

 28 Wang, Caishi 9 Chen, Jinshu 8 Huang, Zhiyuan 6 Tang, Yuling 5 Ren, Suling 3 Kang, Yuanbao 3 Lü, Xuebin 3 Skvortsov, Valentin Anatol’evich 3 Wang, Xiangjun 2 Di Piazza, Luisa 2 Han, Qi 2 Konno, Norio 2 Sworowski, Piotr 2 Wan, Jianping 2 Wang, Ce 2 Zhang, Jihong 2 Zhou, Yulan 1 Accardi, Luigi 1 Bongiorno, Benedetto 1 Bongiorno, Donatella 1 Burton, David A. 1 Camacho-Nieto, Oscar 1 Chai, Huifang 1 Dai, Wanyang 1 Dong, Shihai 1 Falaye, Babatunde James 1 Guo, Gongde 1 Hai, Wenhua 1 Huang, Ailing 1 Ji, Un Cig 1 Jinshu, Chen 1 Komatsu, Takashi 1 Liang, Danfu 1 Lin, Shuai 1 Lin, Song 1 Lu, Gengbiao 1 Lu, Yanchun 1 Luo, Yunrong 1 Qu, Mingshuang 1 Radchenko, Vadym Mykolaĭovych 1 Saitô, Kimiaki 1 Sun, Guohua 1 Tan, Jintao 1 Tucker, Robin W. 1 Wang, Beiping 1 Xu, Yong-Zhen 1 Ye, Xiaojuan 1 Zhang, Jiawei 1 Zhang, Xili
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#### Cited in 20 Serials

 7 Journal of Mathematical Physics 5 Journal of Function Spaces 4 Journal of Mathematical Analysis and Applications 3 Bulletin of the Australian Mathematical Society 3 Czechoslovak Mathematical Journal 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Acta Mathematica Sinica. English Series 3 Quantum Information Processing 3 Advances in Mathematical Physics 2 International Journal of Theoretical Physics 2 Stochastic Analysis and Applications 2 Turkish Journal of Mathematics 2 Frontiers of Mathematics in China 1 Physica A 1 Proceedings of the American Mathematical Society 1 Sugaku Expositions 1 Theory of Probability and Mathematical Statistics 1 Chaos 1 Stochastics and Dynamics 1 International Journal of Quantum Information
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#### Cited in 17 Fields

 36 Probability theory and stochastic processes (60-XX) 25 Quantum theory (81-XX) 8 Functional analysis (46-XX) 6 Operator theory (47-XX) 4 Real functions (26-XX) 4 Partial differential equations (35-XX) 3 Number theory (11-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)