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Lu, Yun Gang

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Author ID: lu.yun-gang Recent zbMATH articles by "Lu, Yun Gang"
Published as: Lu, Yun Gang; Lu, Y. G.; Lu, Yun-Gang; Lu, Yungang; Lu, Y.; Lu, YunGang; Lu, Yun G.
Homepage: https://www.dm.uniba.it/Members/yungang.lu
External Links: MGP
Documents Indexed: 70 Publications since 1989, including 1 Book

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 298 times in 191 Documents Cited by Year
Quantum theory and its stochastic limit. Zbl 1140.81307
Accardi, Luigi; Lu, Yun Gang; Volovich, Igor
67
2002
The weak coupling limit as a quantum functional central limit. Zbl 0703.60096
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
36
1990
The Wigner semi-circle law in quantum electro dynamics. Zbl 0856.46047
Accardi, Luigi; Lu, Yun Gang
23
1996
An interacting free Fock space and the arcsine law. Zbl 0880.60065
Lu, Y. G.
15
1997
On the interacting free Fock space and the deformed Wigner law. Zbl 0879.46042
Lu, Y. G.
11
1997
An invitation to the weak coupling and low density limits. Zbl 0927.60090
Accardi, L.; Lu, Y. G.; Alicki, R.; Frigerio, A.
10
1991
On the stochastic limit for quantum theory. Zbl 0887.60094
Accardi, Luigi; Gough, J.; Lu, Yun Gang
10
1995
A continuous version of De Finetti’s theorem. Zbl 0778.60003
Accardi, Luigi; Lu, Yun Gang
9
1993
The weak coupling limit for Fermions. Zbl 0735.60106
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
8
1991
The number process as low density limit of Hamiltonian models. Zbl 0738.60099
Accardi, Luigi; Lu, Yun Gang
8
1991
Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501
Accardi, L.; Crismale, V.; Lu, Y. G.
8
2005
Ergodic theorems in quantum probability: an application to the monotone stochastic processes. Zbl 1388.60080
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
7
2017
The low-density limit of quantum systems. Zbl 0745.60106
Accardi, Luigi; Lu, Yun Gang
6
1991
Rotation invariant interacting Fock spaces. Zbl 1125.46052
Crismale, Vitonofrio; Lu, Yun Gang
5
2007
Nonlinear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis. Zbl 1044.81647
Accardi, Luigi; Lu, Yun-Gang; Volovich, Igor
5
1998
Interacting Fock spaces related to the Anderson model. Zbl 0946.60097
Lu, Yun-Gang
5
1998
The quantum weak coupling limit. II: Langevin equation and finite temperature case. Zbl 0846.60098
Accardi, Luigi; Frigerio, Alberto; Lu, Yun G.
5
1995
From discrete to continuous monotone \(C^\ast\)-algebras via quantum central limit theorems. Zbl 1366.60062
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
4
2017
Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060
Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang
4
2008
The weak coupling limit for quadratic interaction. Zbl 0762.60104
Lu, Y. G.
3
1992
On the weak coupling limit problem. Zbl 0682.60092
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
3
1989
The free creation and annihilation operators as the central limit of the quantum Bernoulli process. Zbl 0927.60066
De Giosa, M.; Lu, Y. G.
3
1997
Quantum central limit theorems for weakly dependent maps. I. Zbl 0823.60017
Accardi, Luigi; Lu, Yun Gang
3
1994
Towards a nonlinear extension of stochastic calculus. Zbl 0908.60064
Accardi, Luigi; Lu, Yun-Gang; Obata, Nobuaki
3
1996
Gaussian type interacting Fock spaces. Zbl 1169.46032
Lu, Yun Gang
3
2008
The low density limit in finite temperature case. Zbl 0806.46080
Accardi, Luigi; Lu, Yun Gang
2
1992
Onsager relation with the “slow” degrees of the field in the white noise equation based on stochastic limit. Zbl 1057.82008
Accardi, L.; Imafuku, K.; Lu, Y. G.
2
2003
On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031
Chen, Mufa; Lu, Yungang
2
1990
The semi-circle diagrams in the stochastic limit of the Anderson model. Zbl 0924.60094
Accardi, Luigi; Lu, Yun Gang; Mastropietro, Vieri
2
1998
Passage from quantum systems with continuous spectrum to quantum Poisson processes on Hilbert modules. Zbl 0849.46055
Lu, Yun-Gang
2
1995
Quantum Markov chains and classical random sequences. Zbl 0857.60097
Lu, Yun-Gang
2
1995
Limits of some weighted Cesaro averages. Zbl 1391.40002
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
2
2017
The low density limit and the quantum Poisson process. Zbl 0735.46050
Accardi, Luigi; Lu, Yun Gang
1
1990
The boson and fermion Brownian motion as quantum central limits of the quantum Bernoulli processes. Zbl 0858.60026
Lu, Y. G.
1
1992
On the relation between the singular and the weak coupling limits. Zbl 0755.60094
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
1
1992
Large deviations for Markov chains. Zbl 0706.60075
Chen, Mufa; Lu, Yungang
1
1990
Quantum Langevin equation in the weak coupling limit. Zbl 0709.60066
Accardi, Luigi; Frigerio, Alberto; Lu, Yun Gang
1
1990
Fredholm integral relation between compound estimation and prediction (FIRCEP). Zbl 1442.62176
Stehlík, M.; Kisel’ák, J.; Bukina, E.; Lu, Y.; Baran, S.
1
2020
A white-noise approach to stochastic calculus. Zbl 0979.60057
Accardi, Luigi; Lu, Yun Gang; Volovich, Igor V.
1
2000
A new example of interacting free Fock space. Zbl 1080.81033
Lu, Y. G.; Ruggeri, S.
1
2004
From Markovian approximation to a new type of quantum stochastic calculus. Zbl 0787.46049
Accardi, Luigi; Lu, Yun Gang
1
1992
Quantum central limit theorems for weakly dependent maps. II. Zbl 0829.60018
Accardi, Luigi; Lu, Yun Gang
1
1994
Stochastic bosonization for a \(d\geq 3\) Fermi system. Zbl 0874.60092
Accardi, Luigi; Lu, Yun Gang; Mastropietro, V.
1
1997
An estimate on non-zero eigenvalues of Laplacian in nonlinear version. Zbl 0887.58054
Lu, Y. G.
1
1997
Low density limit: Without rotating wave approximation. Zbl 0885.46058
Lu, Yun-Gang
1
1996
A note on free stochastic calculus on Hilbert modules and its application. Zbl 0849.60099
Lu, Y. G.
1
1996
Free probability and quantum electrodynamics. Zbl 1138.81460
Accardi, L.; Lu, Y. G.
1
2004
The weak coupling limit without rotating wave approximation. Zbl 0734.60105
Accardi, Luigi; Lu, Yun Gang
1
1991
The first 40 years of GKSL generators and some proposal for the future. Zbl 1377.81077
Accardi, Luigi; Lu, Yun Gang
1
2017
\(*\)-Lie algebras canonically associated to probability measures on \(\mathbb R\) with all moments. Zbl 1372.60005
Accardi, Luigi; Barhoumi, Abdessatar; Lu, Yun Gang; Rhaima, Mohamed
1
2016
The \(qq\)-bit. I: Central limits with left \(q\)-Jordan-Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of \(q\). Zbl 1409.82006
Accardi, Luigi; Lu, Yun-Gang
1
2018
Influence of damage on properties of strain localization in geomaterials at plane stress and plane strain. Zbl 1158.74467
Zhang, Y. Q.; Lu, Y.; Qiang, H. F.
1
2004
Fredholm integral relation between compound estimation and prediction (FIRCEP). Zbl 1442.62176
Stehlík, M.; Kisel’ák, J.; Bukina, E.; Lu, Y.; Baran, S.
1
2020
The \(qq\)-bit. I: Central limits with left \(q\)-Jordan-Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of \(q\). Zbl 1409.82006
Accardi, Luigi; Lu, Yun-Gang
1
2018
Ergodic theorems in quantum probability: an application to the monotone stochastic processes. Zbl 1388.60080
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
7
2017
From discrete to continuous monotone \(C^\ast\)-algebras via quantum central limit theorems. Zbl 1366.60062
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
4
2017
Limits of some weighted Cesaro averages. Zbl 1391.40002
Crismale, Vitonofrio; Fidaleo, Francesco; Lu, Yun Gang
2
2017
The first 40 years of GKSL generators and some proposal for the future. Zbl 1377.81077
Accardi, Luigi; Lu, Yun Gang
1
2017
\(*\)-Lie algebras canonically associated to probability measures on \(\mathbb R\) with all moments. Zbl 1372.60005
Accardi, Luigi; Barhoumi, Abdessatar; Lu, Yun Gang; Rhaima, Mohamed
1
2016
Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060
Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang
4
2008
Gaussian type interacting Fock spaces. Zbl 1169.46032
Lu, Yun Gang
3
2008
Rotation invariant interacting Fock spaces. Zbl 1125.46052
Crismale, Vitonofrio; Lu, Yun Gang
5
2007
Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501
Accardi, L.; Crismale, V.; Lu, Y. G.
8
2005
A new example of interacting free Fock space. Zbl 1080.81033
Lu, Y. G.; Ruggeri, S.
1
2004
Free probability and quantum electrodynamics. Zbl 1138.81460
Accardi, L.; Lu, Y. G.
1
2004
Influence of damage on properties of strain localization in geomaterials at plane stress and plane strain. Zbl 1158.74467
Zhang, Y. Q.; Lu, Y.; Qiang, H. F.
1
2004
Onsager relation with the “slow” degrees of the field in the white noise equation based on stochastic limit. Zbl 1057.82008
Accardi, L.; Imafuku, K.; Lu, Y. G.
2
2003
Quantum theory and its stochastic limit. Zbl 1140.81307
Accardi, Luigi; Lu, Yun Gang; Volovich, Igor
67
2002
A white-noise approach to stochastic calculus. Zbl 0979.60057
Accardi, Luigi; Lu, Yun Gang; Volovich, Igor V.
1
2000
Nonlinear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis. Zbl 1044.81647
Accardi, Luigi; Lu, Yun-Gang; Volovich, Igor
5
1998
Interacting Fock spaces related to the Anderson model. Zbl 0946.60097
Lu, Yun-Gang
5
1998
The semi-circle diagrams in the stochastic limit of the Anderson model. Zbl 0924.60094
Accardi, Luigi; Lu, Yun Gang; Mastropietro, Vieri
2
1998
An interacting free Fock space and the arcsine law. Zbl 0880.60065
Lu, Y. G.
15
1997
On the interacting free Fock space and the deformed Wigner law. Zbl 0879.46042
Lu, Y. G.
11
1997
The free creation and annihilation operators as the central limit of the quantum Bernoulli process. Zbl 0927.60066
De Giosa, M.; Lu, Y. G.
3
1997
Stochastic bosonization for a \(d\geq 3\) Fermi system. Zbl 0874.60092
Accardi, Luigi; Lu, Yun Gang; Mastropietro, V.
1
1997
An estimate on non-zero eigenvalues of Laplacian in nonlinear version. Zbl 0887.58054
Lu, Y. G.
1
1997
The Wigner semi-circle law in quantum electro dynamics. Zbl 0856.46047
Accardi, Luigi; Lu, Yun Gang
23
1996
Towards a nonlinear extension of stochastic calculus. Zbl 0908.60064
Accardi, Luigi; Lu, Yun-Gang; Obata, Nobuaki
3
1996
Low density limit: Without rotating wave approximation. Zbl 0885.46058
Lu, Yun-Gang
1
1996
A note on free stochastic calculus on Hilbert modules and its application. Zbl 0849.60099
Lu, Y. G.
1
1996
On the stochastic limit for quantum theory. Zbl 0887.60094
Accardi, Luigi; Gough, J.; Lu, Yun Gang
10
1995
The quantum weak coupling limit. II: Langevin equation and finite temperature case. Zbl 0846.60098
Accardi, Luigi; Frigerio, Alberto; Lu, Yun G.
5
1995
Passage from quantum systems with continuous spectrum to quantum Poisson processes on Hilbert modules. Zbl 0849.46055
Lu, Yun-Gang
2
1995
Quantum Markov chains and classical random sequences. Zbl 0857.60097
Lu, Yun-Gang
2
1995
Quantum central limit theorems for weakly dependent maps. I. Zbl 0823.60017
Accardi, Luigi; Lu, Yun Gang
3
1994
Quantum central limit theorems for weakly dependent maps. II. Zbl 0829.60018
Accardi, Luigi; Lu, Yun Gang
1
1994
A continuous version of De Finetti’s theorem. Zbl 0778.60003
Accardi, Luigi; Lu, Yun Gang
9
1993
The weak coupling limit for quadratic interaction. Zbl 0762.60104
Lu, Y. G.
3
1992
The low density limit in finite temperature case. Zbl 0806.46080
Accardi, Luigi; Lu, Yun Gang
2
1992
The boson and fermion Brownian motion as quantum central limits of the quantum Bernoulli processes. Zbl 0858.60026
Lu, Y. G.
1
1992
On the relation between the singular and the weak coupling limits. Zbl 0755.60094
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
1
1992
From Markovian approximation to a new type of quantum stochastic calculus. Zbl 0787.46049
Accardi, Luigi; Lu, Yun Gang
1
1992
An invitation to the weak coupling and low density limits. Zbl 0927.60090
Accardi, L.; Lu, Y. G.; Alicki, R.; Frigerio, A.
10
1991
The weak coupling limit for Fermions. Zbl 0735.60106
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
8
1991
The number process as low density limit of Hamiltonian models. Zbl 0738.60099
Accardi, Luigi; Lu, Yun Gang
8
1991
The low-density limit of quantum systems. Zbl 0745.60106
Accardi, Luigi; Lu, Yun Gang
6
1991
The weak coupling limit without rotating wave approximation. Zbl 0734.60105
Accardi, Luigi; Lu, Yun Gang
1
1991
The weak coupling limit as a quantum functional central limit. Zbl 0703.60096
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
36
1990
On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031
Chen, Mufa; Lu, Yungang
2
1990
The low density limit and the quantum Poisson process. Zbl 0735.46050
Accardi, Luigi; Lu, Yun Gang
1
1990
Large deviations for Markov chains. Zbl 0706.60075
Chen, Mufa; Lu, Yungang
1
1990
Quantum Langevin equation in the weak coupling limit. Zbl 0709.60066
Accardi, Luigi; Frigerio, Alberto; Lu, Yun Gang
1
1990
On the weak coupling limit problem. Zbl 0682.60092
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
3
1989
all top 5

Cited by 161 Authors

41 Accardi, Luigi
26 Lu, Yun Gang
14 Gough, John E.
13 Volovich, Igor’ Vasil’evich
11 Pechen, Alexander Nikolaevich
11 Sakbaev, Vsevolod Zhanovich
10 Crismale, Vitonofrio
10 Kozyrev, Sergeĭ Vladimirovich
8 Fidaleo, Francesco
7 Fagnola, Franco
6 Teretenkov, Alexander E.
4 Aref’eva, Irina Yaroslavna
4 Ayed, Wided
4 Bouten, Luc
4 Lenczewski, Romuald
3 Boukas, Andreas
3 De Roeck, Wojciech
3 Dhahri, Ameur
3 Frigerio, Alberto
3 Griseta, Maria Elena
3 Khrennikov, Andreĭ Yur’evich
3 Köstler, Claus
3 Mastropietro, Vieri
3 Ouerdiane, Habib
3 Quezada, Roberto B.
3 Riahi, Anis
3 SaŁapata, RafaŁ
3 Schürmann, Michael
3 van Handel, Ramon
3 Wang, Caishi
3 Wysoczański, Janusz
2 Barhoumi, Abdessatar
2 Ben Ghorbal, Anis
2 Chebotarev, Alexandr M.
2 Chen, Mu-Fa
2 Dereziński, Jan
2 Hora, Akihito
2 Il’in, Nikolaĭ Borisovich
2 Jekel, David
2 Kang, Yuanbao
2 Ko, Chul Ki
2 Kuo, Hui-Hsiung
2 Kuzemsky, Alexander Leonidovich
2 Obata, Nobuaki
2 Ohya, Masanori
2 Rguigui, Hafedh
2 Sasso, Emanuela
2 Schleissinger, Sebastian
2 Silberfarb, Andrew
2 Smolyanov, Oleg Georgievich
2 Trushechkin, Anton Sergeevich
2 Yoo, Hyun Jae
1 Alicki, Robert
1 Altoum, Sami H.
1 Andersson, Andreas
1 Andreoli, Alessandro
1 Asai, Nobuhiro
1 Becker, Simon
1 Belavkin, Viacheslav
1 Belton, Alexander C. R.
1 Benatti, Fabio
1 Bozejko, Marek
1 Caravenna, Francesco
1 Carbone, Raffaella
1 Caves, Carlton M.
1 Cifarelli, Donato Michele
1 Cubillo, F. G.
1 Dai Pra, Paolo
1 Dajka, Jerzy
1 Datta, Nilanjana
1 Del Vecchio, Simone
1 Dhahri, Abdallah
1 Dragovich, Branko
1 Dupuis, Paul G.
1 Efremova, Lyudmila S.
1 Ettaieb, Aymen
1 Filippov, Sergey N.
1 Floreanini, Roberto
1 Franz, Uwe
1 Fuchs, Christopher Alan
1 García-March, Miguel Ángel
1 Gerhold, Malte
1 Glinov, A. N.
1 Gnacik, Michał
1 Gregoratti, Matteo
1 Hachicha, Skander
1 Haldar, Prasanta
1 Hasebe, Takahiro
1 Hashimoto, Yukihiro
1 Hellmich, Jürgen
1 Heo, Jaeseong
1 Honegger, Reinhard
1 Horrigue, Samah
1 Huang, Zhiyuan
1 Il’yn, N. B.
1 Janssens, Bas
1 Jørgensen, Palle E. T.
1 Katanaev, Mikhaĭl Orinovich
1 Koohestani, Masoumeh
1 Kouba, Omran
...and 61 more Authors
all top 5

Cited in 57 Serials

38 Infinite Dimensional Analysis, Quantum Probability and Related Topics
17 Journal of Mathematical Physics
12 Communications in Mathematical Physics
9 Theoretical and Mathematical Physics
9 Proceedings of the Steklov Institute of Mathematics
7 Journal of Functional Analysis
7 Journal of Mathematical Sciences (New York)
7 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5 Journal of Statistical Physics
5 Reports on Mathematical Physics
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Open Systems & Information Dynamics
3 International Journal of Modern Physics B
3 International Journal of Theoretical Physics
3 Mathematical Notes
3 Random Operators and Stochastic Equations
3 Doklady Mathematics
3 Lobachevskii Journal of Mathematics
2 The Annals of Probability
2 Dissertationes Mathematicae
2 Acta Mathematica Hungarica
2 Journal of Theoretical Probability
2 Indagationes Mathematicae. New Series
2 Russian Journal of Mathematical Physics
2 Annales Henri Poincaré
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Advances in Applied Probability
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Physics Letters. A
1 Reviews in Mathematical Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Mathematische Zeitschrift
1 Nagoya Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Statistical Science
1 Acta Mathematica Sinica. New Series
1 Chinese Science Bulletin
1 International Journal of Modern Physics D
1 Izvestiya: Mathematics
1 Stochastic Models
1 Milan Journal of Mathematics
1 Quantum Information Processing
1 Mediterranean Journal of Mathematics
1 Foundations of Physics
1 Cubo
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Complex Analysis and Operator Theory
1 Advances in Mathematical Physics
1 International Journal of Applied and Computational Mathematics
1 Bollettino dell’Unione Matematica Italiana

Citations by Year