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Author ID: accardi.luigi Recent zbMATH articles by "Accardi, Luigi"
Published as: Accardi, Luigi; Accardi, L.; Accardi, Luigi.
Homepage: http://volterra.uniroma2.it/center/index.php?option=com_content&view=article&id=...
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
all top 5

Co-Authors

48 single-authored
54 Lu, Yun Gang
47 Boukas, Andreas
21 Ohya, Masanori
17 Volovich, Igor’ Vasil’evich
13 Dhahri, Ameur
13 Smolyanov, Oleg Georgievich
12 Kozyrev, Sergeĭ Vladimirovich
11 Ji, Un Cig
11 Mukhamedov, Farruh Maksutovich
10 Barhoumi, Abdessatar
10 Frigerio, Alberto
10 Obata, Nobuaki
10 Saitô, Kimiaki
9 Ouerdiane, Habib
8 Kuo, Hui-Hsiung
8 Rebeï, Habib
7 Fagnola, Franco
6 Fidaleo, Francesco
6 Freudenberg, Wolfgang
6 Regoli, Massimo
6 Souissi, Abdessatar
6 Watanabe, Noboru
5 Ayed, Wided
5 Khrennikov, Andreĭ Yur’evich
5 Saburov, Mansoor
5 Skeide, Michael
5 von Waldenfels, Wilhelm
4 Abundo, Mario
4 Aref’eva, Irina Yaroslavna
4 Dhahri, Abdallah
4 Hashimoto, Yukihiro
4 Hida, Takeyuki
4 Imafuku, Kentaro
4 Rhaima, Mohamed
4 Si, Si
4 Stan, Aurel Iulian
3 Bogachev, Vladimir Igorevich
3 Chruściński, Dariusz
3 Cubillo, F. G.
3 Hamdi, Tarek
3 Jamiołkowski, Andrzej
3 Mastropietro, Vieri
3 Ohno, Hiromichi
3 Pechen, Alexander Nikolaevich
3 Quaegebeur, Johan
3 Riahi, Anis
3 Rosato, Nicola
3 Soueidy, El Gheteb
2 Ben Ghorbal, Anis
2 Cecchini, Carlo
2 Crismale, Vitonofrio
2 Fernández, Claudio A.
2 Franz, Uwe
2 Gough, John E.
2 Guerrero-Poblete, Fernando
2 Hachicha, Skander
2 Koroliuk, Dmitry V.
2 Matsuoka, Takashi
2 Mohari, Anilesh
2 Olla, Stefano
2 Parthasarathy, Kalyanapuram Rangachari
2 Prado, Humberto E.
2 Querdiane, Habib
2 Quezada, Roberto B.
2 Rebolledo Berroeta, Rolando
2 Sabbadini, Ruben
2 Schürmann, Michael
2 Stella, Lorenzo
2 Streit, Ludwig
2 Suyari, Hiroki
2 Taouil, Hajer
2 Tasaki, Shuichi
2 Uchiyama, Satoshi
2 Watson, Geoffrey S.
1 Adenier, Guillaume
1 Aiello, Aldo
1 Al-Rawashdeh, Ahmad Saleh
1 Alicki, Robert
1 Amosov, Grigoriĭ Gennad’evich
1 Auricchio, Angelo
1 Bagarello, Fabio
1 Bozejko, Marek
1 Cabrera, Javier F.
1 Chen, Louis Hsiao-Yun
1 Choi, Byoung Jin
1 Das, P. K.
1 Dragovich, Branko
1 El Gheteb, Soueidy
1 Ella, Abdon Ebang
1 Fuchs, Christopher Alan
1 García, Julio César
1 Gibilisco, Paolo
1 Gorini, Vittorio
1 Hasegawa, Ai
1 Heyde, Christopher Charles
1 Hibino, Yuji
1 Hora, Akihito
1 Htay, Win Win
1 Hudson, Robin Lyth
1 Jaeger, Gregg S.
...and 35 more Co-Authors
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Serials

60 Infinite Dimensional Analysis, Quantum Probability and Related Topics
24 Open Systems & Information Dynamics
13 QP–PQ: Quantum Probability and White Noise Analysis
8 Journal of Functional Analysis
7 Mathematical Notes
7 Doklady Mathematics
7 RIMS Kokyuroku
7 Communications on Stochastic Analysis
6 Reports on Mathematical Physics
5 Probability and Mathematical Statistics
5 Random Operators and Stochastic Equations
5 Lecture Notes in Mathematics
4 Communications in Mathematical Physics
4 International Journal of Theoretical Physics
4 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Russian Journal of Mathematical Physics
3 Journal of Mathematical Physics
3 Acta Applicandae Mathematicae
3 Journal of Physics A: Mathematical and General
3 Milan Journal of Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Statistical Physics
2 Advances in Mathematics
2 Proceedings of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Acta Mathematica Hungarica
2 Bulgarian Journal of Physics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Automation and Remote Control
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Lobachevskii Journal of Mathematics
2 Annales Henri Poincaré
2 Stochastics
2 International Journal of Mathematics and Computer Science
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Biology
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Probability
1 Applied Mathematics and Optimization
1 Calcolo
1 Conferenze del Seminario di Matematica dell’Università di Bari
1 Functional Analysis and its Applications
1 Journal of the Korean Mathematical Society
1 Mathematische Zeitschrift
1 Metron
1 Nagoya Mathematical Journal
1 Physis
1 Soviet Mathematics. Doklady
1 Transactions of the Moscow Mathematical Society
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Journal of Theoretical Probability
1 Linear Algebra and its Applications
1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences
1 New Zealand Journal of Mathematics
1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Serie V. Memorie di Matemàtica
1 Izvestiya: Mathematics
1 Methods of Functional Analysis and Topology
1 Discrete Dynamics in Nature and Society
1 The Australian Journal of Mathematical Analysis and Applications
1 Global Journal of Pure and Applied Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Lecture Notes in Statistics
1 Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
1 AIP Conference Proceedings
1 Journal of Mathematical Cryptology
1 Journal of Physics A: Mathematical and Theoretical
1 Kybernetik
1 Springer Proceedings in Mathematics & Statistics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Advances in Operator Theory
1 Theoretical and Mathematical Physics (Cham)
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Fields

238 Quantum theory (81-XX)
225 Probability theory and stochastic processes (60-XX)
111 Functional analysis (46-XX)
51 Statistical mechanics, structure of matter (82-XX)
36 Operator theory (47-XX)
24 General and overarching topics; collections (00-XX)
20 Nonassociative rings and algebras (17-XX)
12 History and biography (01-XX)
12 Measure and integration (28-XX)
12 Information and communication theory, circuits (94-XX)
11 Biology and other natural sciences (92-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Special functions (33-XX)
7 Partial differential equations (35-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Statistics (62-XX)
6 Combinatorics (05-XX)
6 Computer science (68-XX)
4 Topological groups, Lie groups (22-XX)
4 Functions of a complex variable (30-XX)
3 Ordinary differential equations (34-XX)
3 Sequences, series, summability (40-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Number theory (11-XX)
2 \(K\)-theory (19-XX)
2 Difference and functional equations (39-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)

Publications by Year

Citations contained in zbMATH Open

246 Publications have been cited 2,167 times in 1,074 Documents Cited by Year
Quantum theory and its stochastic limit. Zbl 1140.81307
Accardi, Luigi; Lu, Yun Gang; Volovich, Igor
129
2002
Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi. Zbl 1141.81005
Hora, Akihito; Obata, Nobuaki
127
2007
Quantum stochastic processes. Zbl 0498.60099
Accardi, Luigi; Frigerio, Alberto; Lewis, John T.
121
1982
Conditional expectations in von Neumann algebras and a theorem of Takesaki. Zbl 0483.46043
Accardi, Luigi; Cecchini, Carlo
113
1982
Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013
Accardi, Luigi; Bożejko, Marek
90
1998
The noncommutative Markovian property. Zbl 0395.60076
Accardi, L.
83
1975
The weak coupling limit as a quantum functional central limit. Zbl 0703.60096
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
46
1990
Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras. Zbl 1006.60064
Accardi, Luigi; Franz, Uwe; Skeide, Michael
42
2002
Markovian cocycles. Zbl 0534.46045
Accardi, L.; Frigerio, A.
42
1983
Compound channels, transition expectations, and liftings. Zbl 0941.94011
Accardi, L.; Ohya, M.
34
1999
Quantum independent increment processes on superalgebras. Zbl 0627.60014
Accardi, Luigi; Schürmann, Michael; von Waldenfels, Wilhelm
29
1988
Nonrelativistic quantum mechanics as a noncommutative Markov process. Zbl 0367.60119
Accardi, Luigi
29
1976
The Wigner semi-circle law in quantum electro dynamics. Zbl 0856.46047
Accardi, Luigi; Lu, Yun Gang
28
1996
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
26
2004
Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
26
2006
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
26
2007
Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki
25
2004
On the quantum Feynman-Kac formula. Zbl 0437.60030
Accardi, Luigi
25
1978
Notions of independence related to the free group. Zbl 0913.46057
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki
23
1998
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
22
2010
Non-homogeneous quantum Markov states and quantum Markov fields. Zbl 1031.46074
Accardi, Luigi; Fidaleo, Francesco
21
2003
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
21
2007
A representation free quantum stochastic calculus. Zbl 0759.60068
Accardi, Luigi; Fagnola, F.; Quaegebeur, J.
20
1992
Quantum Markov fields. Zbl 1052.46047
Accardi, Luigi; Fidaleo, Francesco
20
2003
Dynamical entropy through quantum Markov chains. Zbl 0920.46048
Accardi, Luigi; Ohya, Masanori; Watanabe, Noboru
20
1997
Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian. Zbl 0904.58011
Accardi, Luigi; Gibilisco, Paolo; Volovich, Igor A.
20
1994
On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020
Accardi, Luigi; Fagnola, Franco; Quezada, Roberto
20
2016
Quantum Markov model for data from Shafir-Tversky experiments in cognitive psychology. Zbl 1182.81051
Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori
19
2009
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
18
2020
On quantum Markov chains on Cayley tree I: Uniqueness of the associated chain with \(XY\)-model on the Cayley tree of order two. Zbl 1239.46044
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
18
2011
Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506
Accardi, Luigi; Liebscher, Volkmar
18
1999
Entangled Markov chains. Zbl 1102.46043
Fidaleo, Francesco; Accardi, Luigi
17
2005
On quantum Markov chains on Cayley tree. II: Phase transitions for the associated chain with \(XY\)-model on the Cayley tree of order three. Zbl 1237.82009
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
16
2011
On Laplacians and traces. Zbl 1041.46516
Accardi, L.; Smolianov, O. G.
16
1993
Local perturbations of conditional expectations. Zbl 0435.60100
Accardi, L.
15
1979
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
15
2006
Noise and dissipation in quantum theory. Zbl 0718.60131
Accardi, Luigi
14
1990
Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060
Accardi, Luigi; Amosov, Grigori; Franz, Uwe
14
2004
Quantum random walks. Zbl 0674.60099
Accardi, Luigi; Watson, G. S.
14
1989
Quantum stochastic equation for the low density limit. Zbl 1052.81055
Accardi, L.; Pechen, A. N.; Volovich, I. V.
13
2002
The exotic (higher order Lévy) Laplacians generate the Markov processes given by distribution derivatives of white noise. Zbl 1285.60069
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
13
2013
Decompositions of the free product of graphs. Zbl 1142.05333
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał
13
2007
Note on quantum dynamical entropies. Zbl 0885.46054
Accardi, Luigi; Ohya, Masanori; Watanabe, Noboru
13
1996
On the stochastic limit for quantum theory. Zbl 0887.60094
Accardi, Luigi; Gough, J.; Lu, Yun Gang
12
1995
Entangled Markov chains are indeed entangled. Zbl 1106.60067
Accardi, Luigi; Matsuoka, Takashi; Ohya, Masanori
12
2006
Quantum probability, renormalization and infinite-dimensional *-Lie algebras. Zbl 1193.60090
Accardi, Luigi; Boukas, Andreas
12
2009
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib
12
2006
Exotic Laplacians and associated stochastic processes. Zbl 1172.60019
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
12
2009
Stopping times for quantum Markov chains. Zbl 0751.60081
Accardi, Luigi; Koroliuk, D.
11
1992
Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501
Accardi, L.; Crismale, V.; Lu, Y. G.
11
2005
Quantum Markov chains: The recurrence problem. Zbl 0929.60094
Accardi, L.; Koroliuk, D.
11
1991
Dynamical detailed balance and local KMS condition for non-equilibrium states. Zbl 1073.82023
Accardi, Luigi; Imafuku, Kentaro
11
2004
Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065
Accardi, Luigi; Boukas, Andreas
11
2006
On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
11
2014
On the structure of classical and quantum flows. Zbl 0837.60090
Accardi, Luigi; Mohari, Anilesh; Volterra, Centro V.
10
1996
The number process as low density limit of Hamiltonian models. Zbl 0738.60099
Accardi, Luigi; Lu, Yun Gang
10
1991
A continuous version of De Finetti’s theorem. Zbl 0778.60003
Accardi, Luigi; Lu, Yun Gang
10
1993
A martingale characterization of canonical commutation and anticommutation relations. Zbl 0642.60032
Accardi, Luigi; Parthasarathy, K. R.
10
1988
Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033
Accardi, L.; Smolyanov, O. G.
10
2006
Generalized Lévy Laplacians and Cesàro means. Zbl 1261.46034
Accardi, L.; Smolyanov, O. G.
10
2009
An invitation to the weak coupling and low density limits. Zbl 0927.60090
Accardi, L.; Lu, Y. G.; Alicki, R.; Frigerio, A.
10
1991
Quantum central limit theorems for strongly mixing random variables. Zbl 0553.60031
Accardi, L.; Bach, A.
10
1985
Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665
Accardi, L.; Kozyrev, S. V.; Pechen, A. N.
10
2006
Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on \(\mathbb{C}^d\). Zbl 1365.42019
Accardi, Luigi; Barhoumi, Abdessatar; Dhahri, Ameur
10
2017
The Ito algebra of quantum Gaussian fields. Zbl 0669.60099
Accardi, Luigi; Quaegebeur, J.
9
1989
Exotic laplacians and derivatives of white noise. Zbl 1213.60114
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
9
2011
Time reflected Markov processes. Zbl 1043.81591
Accardi, Luigi; Mohari, Anilesh
9
1999
Quadratic exponential vectors. Zbl 1241.81119
Accardi, Luigi; Dhahri, Ameur
9
2009
Some loopholes to save quantum nonlocality. Zbl 1085.81006
Accardi, Luigi
9
2005
The weak coupling limit for Fermions. Zbl 0735.60106
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
8
1991
On the relation of the square of white noise and the finite difference algebra. Zbl 1243.81101
Accardi, Luigi; Skeide, Michael
8
2000
On the structure of Markov flows. Zbl 1016.46041
Accardi, L.; Kozyrev, S. V.
8
2001
The quadratic Fock functor. Zbl 1309.81251
Accardi, Luigi; Dhahri, Ameur
8
2010
On the quadratic Heisenberg group. Zbl 1213.60123
Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib
8
2010
The quantum Black-Scholes equation. Zbl 1157.91348
Accardi, Luigi; Boukas, Andreas
8
2006
The low-density limit of quantum systems. Zbl 0745.60106
Accardi, Luigi; Lu, Yun Gang
7
1991
Yang-Mills equations and Lévy-Laplacians. Zbl 0844.60097
Accardi, Luigi
7
1995
Construction of a new class of quantum Markov fields. Zbl 1362.60065
Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar
7
2016
Change of variable formulas for infinite-dimensional distributions. Zbl 0898.46043
Accardi, Luigi; Smolyanov, O. G.; Smolyanova, M. O.
7
1996
Higher order multi-dimensional extensions of Cesàro theorem. Zbl 1345.40004
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
7
2015
Some trends and problems in quantum probability. Zbl 0544.60003
Accardi, Luigi
7
1984
Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra. Zbl 1142.60045
Accardi, Luigi; Boukas, Andreas
7
2008
Classical and nonclassical Levy Laplacians. Zbl 1155.35482
Accardi, L.; Smolyanov, O. G.
7
2007
Renormalized square of white noise quantum time shift. Zbl 1331.60134
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib
7
2012
Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060
Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang
7
2008
Central limits of squeezing operators. Zbl 0717.60034
Accardi, Luigi; Bach, A.
6
1989
Lévy Laplacian acting on operators. Zbl 1142.47362
Accardi, L.; Querdiane, H.; Smolyanov, O. G.
6
2003
Interacting Fock spaces and orthogonal polynomials in several variables. Zbl 1046.81061
Accardi, Luigi; Nahni, Marcolino
6
2002
Nonlinear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis. Zbl 1044.81647
Accardi, Luigi; Lu, Yun-Gang; Volovich, Igor
6
1998
Markov property – recent developments on the quantum Markov property. Zbl 1052.46046
Accardi, Luigi; Fidaleo, Francesco
6
2003
A stochastic golden rule and quantum Langevin equation for the low density limit. Zbl 1053.82019
Accardi, L.; Pechen, A. N.; Volovich, I. V.
6
2003
A stochastic limit approach to the SAT problem. Zbl 1108.81006
Accardi, Luigi; Ohya, Masanori
6
2004
Bose-Einstein condensation and condensation of \(q\)-particles in equilibrium and nonequilibrium thermodynamics. Zbl 1378.82012
Accardi, Luigi; Fidaleo, Francesco
6
2016
Interacting Fock space versus full Fock module. Zbl 1331.46051
Accardi, Luigi; Skeide, Michael
6
2008
Quantum probability and applications to the quantum theory of irreversible processes. Proceedings of the International Workshop, held at Villa Mondragone, Italy, September 6-11, 1982. Zbl 0527.00022
6
1984
Noncommutative Markov chains associated to a preassigned evolution: an application to the quantum theory of measurement. Zbl 0385.60087
Accardi, Luigi
6
1978
The quantum weak coupling limit. II: Langevin equation and finite temperature case. Zbl 0846.60098
Accardi, Luigi; Frigerio, Alberto; Lu, Yun G.
5
1995
Stochastic integration. Zbl 0659.46055
Accardi, Luigi; Fagnola, Franco
5
1988
The master field for large-\(N\) matrix models and quantum groups. Zbl 1022.81552
Accardi, L.; Aref’eva, I. Ya.; Kozyrev, S. V.; Volovich, I. V.
5
1995
Generic quantum Markov semigroups: the Fock case. Zbl 1084.81047
Accardi, L.; Hachicha, S.; Querdiane, H.
5
2005
The expected Markov property for quantum Markov fields. Zbl 1529.46044
Accardi, Luigi; Dhahri, Ameur
1
2023
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces. Zbl 1490.82012
Accardi, Luigi; Lu, Yun Gang
4
2022
The quantum mechanics canonically associated to free probability. I: free momentum and associated kinetic energy. Zbl 1530.81005
Accardi, Luigi; Hamdi, Tarek; Lu, Yun Gang
1
2022
The quantum mechanics canonically associated to free probability. II: The normal and inverse normal order problem. Zbl 1531.81012
Accardi, Luigi; Hamdi, Tarek; Lu, Yun Gang
1
2022
The non-linear and quadratic quantization programs. Zbl 1521.81118
Accardi, Luigi; Boukas, Andreas; Lu, Yun-Gang; Teretenkov, Alexander
1
2022
A Markov-Dobrushin inequality for quantum channels. Zbl 1500.81016
Accardi, Luigi; Lu, Yun Gang; Souissi, Abdessatar
4
2021
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
18
2020
Bogolyubov endomorphisms and non-commutative hyperbolic functions. Zbl 1465.46064
Accardi, L.; Boukas, A.; Lu, Yun-Gang; Taouil, H.
2
2020
Breaking of the similarity principle in Markov generators of low density limit type and the role of degeneracies in the landscape of invariant states. Zbl 1503.81062
Accardi, L.; García-Corte, J. C.; Guerrero-Poblete, F.; Quezada, R.
2
2020
White noise delta functions and infinite-dimensional Laplacians. Zbl 1461.60060
Accardi, Luigi; Hasegawa, Ai; Ji, Un Cig; Saitô, Kimiaki
2
2020
The \(q q\)-bit (III): symmetric \(q\)-Jordan-Wigner embeddings. Zbl 1478.82006
Accardi, Luigi; Lu, Yun-Gang
2
2019
Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra. Zbl 1458.60083
Rebei, Habib; Accardi, Luigi; Taouil, Hajer
2
2019
Quantum Markov semigroups of low density limit: the generic case. Zbl 1436.81073
Accardi, Luigi; Guerrero-Poblete, Fernando
1
2019
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
4
2018
\(C^*\)-quadratic quantization. Zbl 1401.60132
Accardi, Luigi; Dhahri, Ameur; Rebei, Habib
4
2018
Quantum probability and Hilbert’s sixth problem. Zbl 1470.81008
Accardi, Luigi
2
2018
Jacobi sequences of powers of random variables. Zbl 1390.60012
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
1
2018
Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on \(\mathbb{C}^d\). Zbl 1365.42019
Accardi, Luigi; Barhoumi, Abdessatar; Dhahri, Ameur
10
2017
Analytic characterizations of infinite dimensional distributions. Zbl 1366.60092
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
3
2017
The first 40 years of GKSL generators and some proposal for the future. Zbl 1377.81077
Accardi, Luigi; Lu, Yun Gang
2
2017
Mathematical aspects of Bose-Einstein condensation in equilibrium and local equilibrium conditions. Zbl 1386.82005
Accardi, Luigi; Pandiscia, Carlo
1
2017
Jacobi sequences of squares of random variables. Zbl 1394.60010
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
1
2017
On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020
Accardi, Luigi; Fagnola, Franco; Quezada, Roberto
20
2016
Construction of a new class of quantum Markov fields. Zbl 1362.60065
Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar
7
2016
Bose-Einstein condensation and condensation of \(q\)-particles in equilibrium and nonequilibrium thermodynamics. Zbl 1378.82012
Accardi, Luigi; Fidaleo, Francesco
6
2016
\(*\)-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
3
2016
An information complexity index for probability measures on \(\mathbb{R}\) with all moments. Zbl 1354.60009
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
2
2016
Application of non-Kolmogorovian probability and quantum adaptive dynamics to unconscious inference in visual perception process. Zbl 1346.81026
Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro
1
2016
\(C^{\ast}\)-non-linear second quantization. Zbl 1342.81623
Accardi, Luigi; Dhahri, Ameur
1
2016
Higher order multi-dimensional extensions of Cesàro theorem. Zbl 1345.40004
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
7
2015
Fourier transform of random variables associated with the multi-dimensional Heisenberg Lie algebra. Zbl 1320.60015
Accardi, Luigi; Boukas, Andreas
3
2015
Polynomial extensions of the Weyl \(C^*\)-algebra. Zbl 1329.81209
Accardi, Luigi; Dhahri, Ameur
2
2015
Contractions and central extensions of quantum white noise Lie algebras. Zbl 1323.81039
Accardi, Luigi; Boukas, Andreas
1
2015
On a class of strongly asymmetric PKA algorithms. Zbl 1352.94022
Accardi, Luigi; Regoli, Massimo
1
2015
Fermionic Meixner classes, Lie algebras and quadratic Hamiltonians. Zbl 1403.81078
Accardi, L.; Aref’eva, I. Ya.; Volovich, I. V.
1
2015
On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
11
2014
The quantum decomposition associated with the Lévy white noise processes without moments. Zbl 1312.60055
Accardi, Luigi; Rebei, Habib; Riahi, Anis
5
2014
The exotic (higher order Lévy) Laplacians generate the Markov processes given by distribution derivatives of white noise. Zbl 1285.60069
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
13
2013
The quantum decomposition of random variables without moments. Zbl 1283.60107
Accardi, Luigi; Rebei, Habib; Riahi, Anis
5
2013
Renormalized square of white noise quantum time shift. Zbl 1331.60134
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib
7
2012
Renormalization and central extensions. Zbl 1251.81058
Accardi, Luigi; Boukas, A.
3
2012
Lévy processes through time shift on oscillator Weyl algebra. Zbl 1331.60158
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib
3
2012
On quantum Markov chains on Cayley tree I: Uniqueness of the associated chain with \(XY\)-model on the Cayley tree of order two. Zbl 1239.46044
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
18
2011
On quantum Markov chains on Cayley tree. II: Phase transitions for the associated chain with \(XY\)-model on the Cayley tree of order three. Zbl 1237.82009
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
16
2011
Exotic laplacians and derivatives of white noise. Zbl 1213.60114
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
9
2011
Uniqueness of quantum Markov chains associated with an \(XY\)-model on a Cayley tree of order 2. Zbl 1245.82018
Accardi, L.; Mukhamedov, F. M.; Saburov, M. Kh.
4
2011
Quantum Laplacians on generalized operators on boson Fock space. Zbl 1260.60136
Accardi, Luigi; Barhoumi, Abdessatar; Ji, Un Cig
3
2011
Existence of the Fock representation for current algebras of the Galilei algebra. Zbl 1246.81067
Accardi, L.; Boukas, A.; Misiewicz, J.
1
2011
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
22
2010
The quadratic Fock functor. Zbl 1309.81251
Accardi, Luigi; Dhahri, Ameur
8
2010
On the quadratic Heisenberg group. Zbl 1213.60123
Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib
8
2010
White noise Lévy-Meixner processes through a transfer principal from one-mode to one-mode type interacting Fock spaces. Zbl 1225.60121
Accardi, Luigi; Barhoumi, Abdessatar; Riahi, Anis
5
2010
On classical and quantum liftings. Zbl 1221.81117
Accardi, L.; Chruściński, D.; Kossakowski, A.; Matsuoka, T.; Ohya, M.
5
2010
Extending the set of quadratic exponential vectors. Zbl 1208.81124
Accardi, Luigi; Dhahri, Ameur; Skeide, Michael
4
2010
On the characteristic function of random variables associated with boson Lie algebras. Zbl 1331.60013
Accardi, Luigi; Boukas, Andreas
2
2010
Quantum probability: new perspectives for the laws of chance. Zbl 1222.81034
Accardi, Luigi
1
2010
Quantum Markov model for data from Shafir-Tversky experiments in cognitive psychology. Zbl 1182.81051
Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori
19
2009
Quantum probability, renormalization and infinite-dimensional *-Lie algebras. Zbl 1193.60090
Accardi, Luigi; Boukas, Andreas
12
2009
Exotic Laplacians and associated stochastic processes. Zbl 1172.60019
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
12
2009
Generalized Lévy Laplacians and Cesàro means. Zbl 1261.46034
Accardi, L.; Smolyanov, O. G.
10
2009
Quadratic exponential vectors. Zbl 1241.81119
Accardi, Luigi; Dhahri, Ameur
9
2009
A note on noncommutative unique ergodicity and weighted means. Zbl 1155.47014
Accardi, Luigi; Mukhamedov, Farrukh
4
2009
Cohomology of the Virasoro-Zamolodchikov and renormalized higher powers of white noise *-Lie algebras. Zbl 1257.81045
Accardi, Luigi; Boukas, Andreas
4
2009
Foundations of probability and physics – 5. Växjö, Sweden, 24–27 August 2008. Proceedings of the international conference. Zbl 1162.81001
2
2009
Analytic central extensions of infinite dimensional white noise *-Lie algebras. Zbl 1241.60034
Accardi, Luigi; Boukas, Andreas
1
2009
Non Kolmogorov probability models outside quantum mechanics. Zbl 1183.81005
Accardi, Luigi
1
2009
Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra. Zbl 1142.60045
Accardi, Luigi; Boukas, Andreas
7
2008
Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060
Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang
7
2008
Interacting Fock space versus full Fock module. Zbl 1331.46051
Accardi, Luigi; Skeide, Michael
6
2008
Fock representation of the renormalized higher powers of white noise and the centreless Virasoro (or Witt)-Zamolodchikov-\(w_{\infty}^*\)-Lie algebra. Zbl 1145.81036
Accardi, Luigi; Boukas, Andreas
4
2008
Markov fields on graphs. Zbl 1280.60031
Accardi, Luigi; Ohno, Hiromichi
2
2008
Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi. Zbl 1141.81005
Hora, Akihito; Obata, Nobuaki
127
2007
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
26
2007
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
21
2007
Decompositions of the free product of graphs. Zbl 1142.05333
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał
13
2007
Classical and nonclassical Levy Laplacians. Zbl 1155.35482
Accardi, L.; Smolyanov, O. G.
7
2007
Lie algebras associated with the renormalized higher powers of white noise. Zbl 1328.60163
Accardi, Luigi; Boukas, Andreas
3
2007
Feynman formulas for evolution equations with Levy Laplacians on manifolds. Zbl 1143.35101
Accardi, L.; Smolyanov, O. G.
2
2007
Powers of the delta function. Zbl 1139.81363
Accardi, Luigi; Boukas, Andreas
2
2007
Universality of the EPR-chameleon model. Zbl 1208.81039
Accardi, Luigi; Uchiyama, Satoshi
2
2007
Itô calculus and quantum white noise calculus. Zbl 1201.81079
Accardi, Luigi; Boukas, Andreas
1
2007
Master fields, drift and dispersion in the stochastic limit of quantum theory. Zbl 1132.81035
Accardi, L.; Cubillo, F. G.
1
2007
White noise Heisenberg evolution and Evans-Hudson flows. Zbl 1112.60052
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
1
2007
Quantum probability and infinite dimensional analysis. Proceedings of the 26th conference, Levico, Italy, 20–26 February 2005. Zbl 1120.81003
1
2007
Module white noise calculus. Zbl 1199.60251
Accardi, L.; Ayed, W.; Ouerdiane, H.
1
2007
Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
26
2006
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
15
2006
Entangled Markov chains are indeed entangled. Zbl 1106.60067
Accardi, Luigi; Matsuoka, Takashi; Ohya, Masanori
12
2006
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib
12
2006
Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065
Accardi, Luigi; Boukas, Andreas
11
2006
Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033
Accardi, L.; Smolyanov, O. G.
10
2006
Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665
Accardi, L.; Kozyrev, S. V.; Pechen, A. N.
10
2006
The quantum Black-Scholes equation. Zbl 1157.91348
Accardi, Luigi; Boukas, Andreas
8
2006
The emergence of the Virasoro and \(W_\infty\) algebras through the renormalized higher powers of quantum white noise. Zbl 1115.81045
Accardi, Luigi; Boukas, Andreas
4
2006
Coherent population trapping and partial decoherence in the stochastic limit. Zbl 1104.81035
Accardi, L.; Kozyrev, S. V.
4
2006
Higher powers of \(q\)-deformed white noise. Zbl 1123.60055
Accardi, Luigi; Boukas, Andreas
4
2006
Could we now convince Einstein? Zbl 1114.81009
Accardi, Luigi
3
2006
Nonequilibrium steady states for a harmonic oscillator interacting with two Bose fields – stochastic limit approach and \(C^*\) algebraic approach. Zbl 1151.82372
Tasaki, S.; Accardi, L.
2
2006
Entangled Markov chains. Zbl 1102.46043
Fidaleo, Francesco; Accardi, Luigi
17
2005
Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501
Accardi, L.; Crismale, V.; Lu, Y. G.
11
2005
...and 146 more Documents
all top 5

Cited by 787 Authors

133 Accardi, Luigi
38 Lu, Yun Gang
36 Mukhamedov, Farruh Maksutovich
34 Fagnola, Franco
34 Ohya, Masanori
26 Khrennikov, Andreĭ Yur’evich
25 Fidaleo, Francesco
21 Dhahri, Ameur
21 Ji, Un Cig
21 Souissi, Abdessatar
21 Volovich, Igor’ Vasil’evich
20 Barhoumi, Abdessatar
18 Gough, John E.
17 Pechen, Alexander Nikolaevich
17 Sakbaev, Vsevolod Zhanovich
17 Teretenkov, Alexander E.
15 Kozyrev, Sergeĭ Vladimirovich
14 Petz, Dénes
14 Rebeï, Habib
14 Rguigui, Hafedh
13 Ouerdiane, Habib
13 Schürmann, Michael
12 Boukas, Andreas
12 Lenczewski, Romuald
12 Smolyanov, Oleg Georgievich
11 Bozejko, Marek
11 Lindsay, J. Martin
11 Obata, Nobuaki
11 Quezada, Roberto B.
11 Riahi, Anis
11 Skeide, Michael
11 Volkov, Boris O.
11 Watanabe, Noboru
10 Crismale, Vitonofrio
10 Saitô, Kimiaki
9 Asai, Nobuhiro
9 Fannes, Mark
9 Franz, Uwe
9 Park, Yong Moon
9 Stan, Aurel Iulian
9 Umanità, Veronica
8 Aref’eva, Irina Yaroslavna
8 Asano, Masanari
8 Basieva, Irina
8 Frigerio, Alberto
8 Ko, Chul Ki
8 Mohari, Anilesh
8 Yoo, Hyun Jae
7 Albeverio, Sergio A.
7 Belavkin, Viacheslav
7 Bhat, B. V. Rajarama
7 Kuo, Hui-Hsiung
7 Sinha, Kalyan B.
7 Skalski, Adam G.
7 Tanaka, Yoshiharu
7 Trushechkin, Anton Sergeevich
7 Wang, Caishi
7 Wills, Stephen J.
6 Amosov, Grigoriĭ Gennad’evich
6 Cecchini, Carlo
6 Duvenhage, Rocco
6 Hasebe, Takahiro
6 Hiai, Fumio
6 Hudson, Robin Lyth
6 Jenčová, Anna
6 Sasso, Emanuela
5 Bagarello, Fabio
5 Belton, Alexander C. R.
5 Carbone, Raffaella
5 Das, P. K.
5 Ettaieb, Aymen
5 Hamdi, Tarek
5 Haven, Emmanuel E.
5 Iriyama, Satoshi
5 Jørgensen, Palle E. T.
5 Köstler, Claus
5 Lehner, Franz
5 Lytvynov, Yevgen Vil’yamovych
5 Pandiscia, Carlo
5 Privault, Nicolas
5 Speicher, Roland
4 Alicki, Robert
4 Anshelevich, Michael
4 Applebaum, David B.
4 Arizmendi, Octavio
4 Ayed, Wided
4 Ben Ghorbal, Anis
4 Benatti, Fabio
4 Bischoff, Marcel
4 Bolaños-Servin, Jorge R.
4 Bouten, Luc
4 Chruściński, Dariusz
4 Del Vecchio, Simone
4 Dhahri, Abdallah
4 El Gheteb, Soueidy
4 Faulkner, Thomas
4 Gudder, Stanley P.
4 Hachicha, Skander
4 Høegh-Krohn, Raphael J.
4 Hollands, Stefan
...and 687 more Authors
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Cited in 195 Serials

197 Infinite Dimensional Analysis, Quantum Probability and Related Topics
64 Journal of Mathematical Physics
55 Communications in Mathematical Physics
43 Open Systems & Information Dynamics
40 Journal of Functional Analysis
34 Reports on Mathematical Physics
23 Proceedings of the Steklov Institute of Mathematics
19 Mathematical Notes
18 Journal of Mathematical Analysis and Applications
18 Foundations of Physics
16 Reviews in Mathematical Physics
16 Probability Theory and Related Fields
16 Journal of Mathematical Sciences (New York)
15 Journal of Statistical Physics
14 Letters in Mathematical Physics
14 Theoretical and Mathematical Physics
14 Annals of Physics
14 Quantum Information Processing
13 Functional Analysis and its Applications
12 International Journal of Theoretical Physics
12 Lobachevskii Journal of Mathematics
10 Annales Henri Poincaré
10 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
9 Indian Journal of Pure & Applied Mathematics
9 Doklady Mathematics
8 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Random Operators and Stochastic Equations
8 Stochastics
8 Journal of Physics A: Mathematical and Theoretical
8 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 Physica A
7 Journal of Mathematical Psychology
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Journal of Theoretical Probability
6 Mathematische Zeitschrift
6 Proceedings of the American Mathematical Society
6 Journal of High Energy Physics
6 Complex Analysis and Operator Theory
5 Nuclear Physics. B
5 Chaos, Solitons and Fractals
5 Quantum Studies: Mathematics and Foundations
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Transactions of the American Mathematical Society
4 Acta Applicandae Mathematicae
4 Linear Algebra and its Applications
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Banach Journal of Mathematical Analysis
4 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
4 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
3 International Journal of Modern Physics B
3 Physics Letters. A
3 Physics Reports
3 Advances in Mathematics
3 Inventiones Mathematicae
3 Journal of Multivariate Analysis
3 Journal of Soviet Mathematics
3 Stochastic Analysis and Applications
3 Russian Journal of Mathematical Physics
3 Izvestiya: Mathematics
3 Mathematical Physics, Analysis and Geometry
3 Stochastics and Dynamics
3 Milan Journal of Mathematics
2 International Journal of Modern Physics A
2 International Journal of Control
2 Linear and Multilinear Algebra
2 Ukrainian Mathematical Journal
2 Journal of Geometry and Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Compositio Mathematica
2 Dissertationes Mathematicae
2 Integral Equations and Operator Theory
2 Journal of Algebra
2 Nagoya Mathematical Journal
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Siberian Mathematical Journal
2 Acta Mathematica Hungarica
2 International Journal of Mathematics
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Indagationes Mathematicae. New Series
2 Potential Analysis
2 Theory of Probability and Mathematical Statistics
2 Bulletin des Sciences Mathématiques
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 International Journal of Quantum Information
2 Journal of Statistical Mechanics: Theory and Experiment
2 Oberwolfach Reports
2 Confluentes Mathematici
2 Analysis and Mathematical Physics
2 Journal of Theoretical Biology
2 Electronic Journal of Graph Theory and Applications
1 Modern Physics Letters B
1 Advances in Applied Probability
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Communications in Algebra
1 Discrete Mathematics
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
...and 95 more Serials
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Cited in 59 Fields

597 Quantum theory (81-XX)
443 Functional analysis (46-XX)
425 Probability theory and stochastic processes (60-XX)
189 Statistical mechanics, structure of matter (82-XX)
167 Operator theory (47-XX)
53 Information and communication theory, circuits (94-XX)
52 Combinatorics (05-XX)
39 Dynamical systems and ergodic theory (37-XX)
38 Statistics (62-XX)
33 Partial differential equations (35-XX)
27 Measure and integration (28-XX)
25 Nonassociative rings and algebras (17-XX)
23 Group theory and generalizations (20-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Special functions (33-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
20 Computer science (68-XX)
18 Associative rings and algebras (16-XX)
18 Relativity and gravitational theory (83-XX)
17 Algebraic geometry (14-XX)
17 Topological groups, Lie groups (22-XX)
17 Global analysis, analysis on manifolds (58-XX)
15 Several complex variables and analytic spaces (32-XX)
13 Functions of a complex variable (30-XX)
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8 Sequences, series, summability (40-XX)
7 Numerical analysis (65-XX)
6 Convex and discrete geometry (52-XX)
6 Differential geometry (53-XX)
6 Fluid mechanics (76-XX)
5 Mathematical logic and foundations (03-XX)
5 Field theory and polynomials (12-XX)
5 Commutative algebra (13-XX)
5 Category theory; homological algebra (18-XX)
5 Integral transforms, operational calculus (44-XX)
5 Optics, electromagnetic theory (78-XX)
4 Real functions (26-XX)
4 Potential theory (31-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 General topology (54-XX)
2 Manifolds and cell complexes (57-XX)
2 Operations research, mathematical programming (90-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
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1 Geophysics (86-XX)

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