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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

47 single-authored
51 Lu, Yun Gang
47 Boukas, Andreas
21 Ohya, Masanori
17 Volovich, Igor’ Vasil’evich
13 Smolyanov, Oleg Georgievich
12 Dhahri, Ameur
12 Kozyrev, Sergeĭ Vladimirovich
11 Mukhamedov, Farruh Maksutovich
10 Barhoumi, Abdessatar
10 Frigerio, Alberto
10 Ji, Un Cig
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 Stan, Aurel Iulian
3 Bogachev, Vladimir Igorevich
3 Chruściński, Dariusz
3 Cubillo, F. G.
3 Jamiołkowski, Andrzej
3 Mastropietro, Vieri
3 Ohno, Hiromichi
3 Pechen, Alexander Nikolaevich
3 Quaegebeur, Johan
3 Riahi, Anis
3 Rosato, Nicola
3 Si, Si
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 Hamdi, Tarek
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 Fuchs, Christopher Alan
1 García Corte, 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.
1 Journé, Jean-Lin
...and 33 more Co-Authors
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Serials

58 Infinite Dimensional Analysis, Quantum Probability and Related Topics
23 Open Systems & Information Dynamics
12 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 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 Indian Journal of Pure & Applied Mathematics
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)
all top 5

Fields

235 Quantum theory (81-XX)
221 Probability theory and stochastic processes (60-XX)
110 Functional analysis (46-XX)
51 Statistical mechanics, structure of matter (82-XX)
35 Operator theory (47-XX)
23 General and overarching topics; collections (00-XX)
20 Nonassociative rings and algebras (17-XX)
12 Measure and integration (28-XX)
12 Information and communication theory, circuits (94-XX)
11 Biology and other natural sciences (92-XX)
10 History and biography (01-XX)
7 Special functions (33-XX)
7 Partial differential equations (35-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Statistics (62-XX)
6 Combinatorics (05-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Computer science (68-XX)
4 Topological groups, Lie groups (22-XX)
4 Functions of a complex variable (30-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 Ordinary differential equations (34-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 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

235 Publications have been cited 1,905 times in 943 Documents Cited by Year
Quantum stochastic processes. Zbl 0498.60099
Accardi, Luigi; Frigerio, Alberto; Lewis, John T.
108
1982
Conditional expectations in von Neumann algebras and a theorem of Takesaki. Zbl 0483.46043
Accardi, Luigi; Cecchini, Carlo
101
1982
Quantum theory and its stochastic limit. Zbl 1140.81307
Accardi, Luigi; Lu, Yun Gang; Volovich, Igor
88
2002
Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi. Zbl 1141.81005
Hora, Akihito; Obata, Nobuaki
85
2007
Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013
Accardi, Luigi; Bożejko, Marek
84
1998
The noncommutative Markovian property. Zbl 0395.60076
Accardi, L.
77
1975
The weak coupling limit as a quantum functional central limit. Zbl 0703.60096
Accardi, Luigi; Frigerio, A.; Lu, Yun Gang
41
1990
Markovian cocycles. Zbl 0534.46045
Accardi, L.; Frigerio, A.
40
1983
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
39
2002
Compound channels, transition expectations, and liftings. Zbl 0941.94011
Accardi, L.; Ohya, M.
35
1999
The Wigner semi-circle law in quantum electro dynamics. Zbl 0856.46047
Accardi, Luigi; Lu, Yun Gang
28
1996
Quantum independent increment processes on superalgebras. Zbl 0627.60014
Accardi, Luigi; Schürmann, Michael; von Waldenfels, Wilhelm
27
1988
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
25
2004
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
24
2007
On the quantum Feynman-Kac formula. Zbl 0437.60030
Accardi, Luigi
24
1978
Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055
Accardi, Luigi; Fagnola, Franco; Hachicha, Skander
24
2006
Notions of independence related to the free group. Zbl 0913.46057
Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki
23
1998
Nonrelativistic quantum mechanics as a noncommutative Markov process. Zbl 0367.60119
Accardi, Luigi
22
1976
Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki
22
2004
Quantum Markov fields on graphs. Zbl 1211.46072
Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh
21
2010
A representation free quantum stochastic calculus. Zbl 0759.60068
Accardi, Luigi; Fagnola, F.; Quaegebeur, J.
20
1992
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
20
2007
Non-homogeneous quantum Markov states and quantum Markov fields. Zbl 1031.46074
Accardi, Luigi; Fidaleo, Francesco
19
2003
Dynamical entropy through quantum Markov chains. Zbl 0920.46048
Accardi, Luigi; Ohya, Masanori; Watanabe, Noboru
19
1997
Quantum Markov fields. Zbl 1052.46047
Accardi, Luigi; Fidaleo, Francesco
19
2003
Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian. Zbl 0904.58011
Accardi, Luigi; Gibilisco, Paolo; Volovich, Igor A.
19
1994
Quantum Markov model for data from Shafir-Tversky experiments in cognitive psychology. Zbl 1182.81051
Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori
19
2009
Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506
Accardi, Luigi; Liebscher, Volkmar
18
1999
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
17
2006
Entangled Markov chains. Zbl 1102.46043
Fidaleo, Francesco; Accardi, Luigi
17
2005
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
16
2011
On Laplacians and traces. Zbl 1041.46516
Accardi, L.; Smolianov, O. G.
15
1993
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
15
2011
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
14
2016
Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060
Accardi, Luigi; Amosov, Grigori; Franz, Uwe
14
2004
Local perturbations of conditional expectations. Zbl 0435.60100
Accardi, L.
14
1979
Decompositions of the free product of graphs. Zbl 1142.05333
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał
13
2007
A continuous version of De Finetti’s theorem. Zbl 0778.60003
Accardi, Luigi; Lu, Yun Gang
13
1993
Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501
Accardi, L.; Crismale, V.; Lu, Y. G.
12
2005
Note on quantum dynamical entropies. Zbl 0885.46054
Accardi, Luigi; Ohya, Masanori; Watanabe, Noboru
12
1996
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
12
2013
Exotic Laplacians and associated stochastic processes. Zbl 1172.60019
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
12
2009
On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046
Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor
11
2014
On the stochastic limit for quantum theory. Zbl 0887.60094
Accardi, Luigi; Gough, J.; Lu, Yun Gang
11
1995
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib
11
2006
Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065
Accardi, Luigi; Boukas, Andreas
11
2006
Entangled Markov chains are indeed entangled. Zbl 1106.60067
Accardi, Luigi; Matsuoka, Takashi; Ohya, Masanori
11
2006
Stopping times for quantum Markov chains. Zbl 0751.60081
Accardi, Luigi; Koroliuk, D.
11
1992
Noise and dissipation in quantum theory. Zbl 0718.60131
Accardi, Luigi
11
1990
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
11
2020
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
Dynamical detailed balance and local KMS condition for non-equilibrium states. Zbl 1073.82023
Accardi, Luigi; Imafuku, Kentaro
10
2004
On the structure of classical and quantum flows. Zbl 0837.60090
Accardi, Luigi; Mohari, Anilesh; Volterra, Centro V.
10
1996
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
Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033
Accardi, L.; Smolyanov, O. G.
9
2006
Some loopholes to save quantum nonlocality. Zbl 1085.81006
Accardi, Luigi
9
2005
Time reflected Markov processes. Zbl 1043.81591
Accardi, Luigi; Mohari, Anilesh
9
1999
Quantum stochastic equation for the low density limit. Zbl 1052.81055
Accardi, L.; Pechen, A. N.; Volovich, I. V.
9
2002
Quantum central limit theorems for strongly mixing random variables. Zbl 0553.60031
Accardi, L.; Bach, A.
9
1985
Quantum Markov chains: The recurrence problem. Zbl 0929.60094
Accardi, L.; Koroliuk, D.
9
1991
Exotic laplacians and derivatives of white noise. Zbl 1213.60114
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
9
2011
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
On the relation of the square of white noise and the finite difference algebra. Zbl 1243.81101
Accardi, Luigi; Skeide, Michael
8
2000
Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665
Accardi, L.; Kozyrev, S. V.; Pechen, A. N.
8
2006
A martingale characterization of canonical commutation and anticommutation relations. Zbl 0642.60032
Accardi, Luigi; Parthasarathy, K. R.
8
1988
The Ito algebra of quantum Gaussian fields. Zbl 0669.60099
Accardi, Luigi; Quaegebeur, J.
8
1989
Quantum probability, renormalization and infinite-dimensional *-Lie algebras. Zbl 1193.60090
Accardi, Luigi; Boukas, Andreas
8
2009
The quadratic Fock functor. Zbl 1309.81251
Accardi, Luigi; Dhahri, Ameur
7
2010
Classical and nonclassical Levy Laplacians. Zbl 1155.35482
Accardi, L.; Smolyanov, O. G.
7
2007
The quantum Black-Scholes equation. Zbl 1157.91348
Accardi, Luigi; Boukas, Andreas
7
2006
Yang-Mills equations and Lévy-Laplacians. Zbl 0844.60097
Accardi, Luigi
7
1995
Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra. Zbl 1142.60045
Accardi, Luigi; Boukas, Andreas
7
2008
Quadratic exponential vectors. Zbl 1241.81119
Accardi, Luigi; Dhahri, Ameur
7
2009
Lévy Laplacian acting on operators. Zbl 1142.47362
Accardi, L.; Querdiane, H.; Smolyanov, O. G.
7
2003
Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060
Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang
7
2008
A stochastic limit approach to the SAT problem. Zbl 1108.81006
Accardi, Luigi; Ohya, Masanori
7
2004
Higher order multi-dimensional extensions of Cesàro theorem. Zbl 1345.40004
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
6
2015
Construction of a new class of quantum Markov fields. Zbl 1362.60065
Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar
6
2016
The low-density limit of quantum systems. Zbl 0745.60106
Accardi, Luigi; Lu, Yun Gang
6
1991
Change of variable formulas for infinite-dimensional distributions. Zbl 0898.46043
Accardi, Luigi; Smolyanov, O. G.; Smolyanova, M. O.
6
1996
The quantum weak coupling limit. II: Langevin equation and finite temperature case. Zbl 0846.60098
Accardi, Luigi; Frigerio, Alberto; Lu, Yun G.
6
1995
On the structure of Markov flows. Zbl 1016.46041
Accardi, L.; Kozyrev, S. V.
6
2001
On the EPR-chameleon experiment. Zbl 1057.81510
Accardi, Luigi; Imafuku, Kentaro; Regoli, Massimo
6
2002
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
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
On the quadratic Heisenberg group. Zbl 1213.60123
Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib
6
2010
Interacting Fock space versus full Fock module. Zbl 1331.46051
Accardi, Luigi; Skeide, Michael
5
2008
Renormalized square of white noise quantum time shift. Zbl 1331.60134
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib
5
2012
Markov property – recent developments on the quantum Markov property. Zbl 1052.46046
Accardi, Luigi; Fidaleo, Francesco
5
2003
Generic quantum Markov semigroups: the Fock case. Zbl 1084.81047
Accardi, L.; Hachicha, S.; Querdiane, H.
5
2005
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
5
2005
The Ornstein-Uhlenbeck process associated with the Lévy Laplacian and its Dirichlet form. Zbl 0880.60083
Accardi, Luigi; Bogachev, Vladimir I.
5
1997
Noncommutative Markov chains associated to a preassigned evolution: an application to the quantum theory of measurement. Zbl 0385.60087
Accardi, Luigi
5
1978
Interacting Fock spaces and orthogonal polynomials in several variables. Zbl 1046.81061
Accardi, Luigi; Nahni, Marcolino
5
2002
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
On classical and quantum liftings. Zbl 1221.81117
Accardi, L.; Chruściński, D.; Kossakowski, A.; Matsuoka, T.; Ohya, M.
5
2010
The quantum decomposition associated with the Lévy white noise processes without moments. Zbl 1312.60055
Accardi, Luigi; Rebei, Habib; Riahi, Anis
4
2014
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
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces. Zbl 1490.82012
Accardi, Luigi; Lu, Yun Gang
3
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
3
2021
Quantum Markov chains: a unification approach. Zbl 1501.46052
Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb
11
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.
1
2020
White noise delta functions and infinite-dimensional Laplacians. Zbl 1461.60060
Accardi, Luigi; Hasegawa, Ai; Ji, Un Cig; Saitô, Kimiaki
1
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
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
3
2018
\(C^*\)-quadratic quantization. Zbl 1401.60132
Accardi, Luigi; Dhahri, Ameur; Rebei, Habib
2
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
Jacobi sequences of squares of random variables. Zbl 1394.60010
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
1
2017
Mathematical aspects of Bose-Einstein condensation in equilibrium and local equilibrium conditions. Zbl 1386.82005
Accardi, Luigi; Pandiscia, Carlo
1
2017
The first 40 years of GKSL generators and some proposal for the future. Zbl 1377.81077
Accardi, Luigi; Lu, Yun Gang
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
14
2016
Construction of a new class of quantum Markov fields. Zbl 1362.60065
Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar
6
2016
Bose-Einstein condensation and condensation of \(q\)-particles in equilibrium and nonequilibrium thermodynamics. Zbl 1378.82012
Accardi, Luigi; Fidaleo, Francesco
4
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
\(C^{\ast}\)-non-linear second quantization. Zbl 1342.81623
Accardi, Luigi; Dhahri, Ameur
1
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
An information complexity index for probability measures on \(\mathbb{R}\) with all moments. Zbl 1354.60009
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed
1
2016
Higher order multi-dimensional extensions of Cesàro theorem. Zbl 1345.40004
Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki
6
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
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
4
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
12
2013
The quantum decomposition of random variables without moments. Zbl 1283.60107
Accardi, Luigi; Rebei, Habib; Riahi, Anis
3
2013
Renormalized square of white noise quantum time shift. Zbl 1331.60134
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib
5
2012
Lévy processes through time shift on oscillator Weyl algebra. Zbl 1331.60158
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib
3
2012
Renormalization and central extensions. Zbl 1251.81058
Accardi, Luigi; Boukas, A.
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
16
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
15
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
2
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
21
2010
The quadratic Fock functor. Zbl 1309.81251
Accardi, Luigi; Dhahri, Ameur
7
2010
On the quadratic Heisenberg group. Zbl 1213.60123
Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib
6
2010
On classical and quantum liftings. Zbl 1221.81117
Accardi, L.; Chruściński, D.; Kossakowski, A.; Matsuoka, T.; Ohya, M.
5
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
4
2010
On the characteristic function of random variables associated with boson Lie algebras. Zbl 1331.60013
Accardi, Luigi; Boukas, Andreas
2
2010
Extending the set of quadratic exponential vectors. Zbl 1208.81124
Accardi, Luigi; Dhahri, Ameur; Skeide, Michael
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
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
Quantum probability, renormalization and infinite-dimensional *-Lie algebras. Zbl 1193.60090
Accardi, Luigi; Boukas, Andreas
8
2009
Quadratic exponential vectors. Zbl 1241.81119
Accardi, Luigi; Dhahri, Ameur
7
2009
Cohomology of the Virasoro-Zamolodchikov and renormalized higher powers of white noise *-Lie algebras. Zbl 1257.81045
Accardi, Luigi; Boukas, Andreas
4
2009
A note on noncommutative unique ergodicity and weighted means. Zbl 1155.47014
Accardi, Luigi; Mukhamedov, Farrukh
4
2009
Non Kolmogorov probability models outside quantum mechanics. Zbl 1183.81005
Accardi, Luigi
1
2009
Analytic central extensions of infinite dimensional white noise *-Lie algebras. Zbl 1241.60034
Accardi, Luigi; Boukas, Andreas
1
2009
Foundations of probability and physics – 5. Växjö, Sweden, 24–27 August 2008. Proceedings of the international conference. Zbl 1162.81001
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
5
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
85
2007
Markov states and chains on the CAR algebra. Zbl 1125.46050
Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh
24
2007
Moments and commutators of probability measures. Zbl 1139.60330
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
20
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
Universality of the EPR-chameleon model. Zbl 1208.81039
Accardi, Luigi; Uchiyama, Satoshi
2
2007
White noise Heisenberg evolution and Evans-Hudson flows. Zbl 1112.60052
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
1
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
Powers of the delta function. Zbl 1139.81363
Accardi, Luigi; Boukas, Andreas
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
24
2006
Renormalized powers of quantum white noise. Zbl 1136.60051
Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort
17
2006
A quantum approach to Laplace operators. Zbl 1097.60065
Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib
11
2006
Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065
Accardi, Luigi; Boukas, Andreas
11
2006
Entangled Markov chains are indeed entangled. Zbl 1106.60067
Accardi, Luigi; Matsuoka, Takashi; Ohya, Masanori
11
2006
Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033
Accardi, L.; Smolyanov, O. G.
9
2006
Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665
Accardi, L.; Kozyrev, S. V.; Pechen, A. N.
8
2006
The quantum Black-Scholes equation. Zbl 1157.91348
Accardi, Luigi; Boukas, Andreas
7
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
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
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.
12
2005
Some loopholes to save quantum nonlocality. Zbl 1085.81006
Accardi, Luigi
9
2005
Generic quantum Markov semigroups: the Fock case. Zbl 1084.81047
Accardi, L.; Hachicha, S.; Querdiane, H.
5
2005
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
5
2005
Renormalized squares of boson fields. Zbl 1071.60101
Accardi, L.; Roschin, R.
2
2005
White noise calculus and stochastic calculus. Zbl 1136.60050
Accardi, L.; Boukas, Andreas
2
2005
Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043
Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel
25
2004
...and 135 more Documents
all top 5

Cited by 670 Authors

127 Accardi, Luigi
35 Mukhamedov, Farruh Maksutovich
34 Lu, Yun Gang
33 Fagnola, Franco
33 Ohya, Masanori
23 Fidaleo, Francesco
23 Khrennikov, Andreĭ Yur’evich
20 Barhoumi, Abdessatar
20 Souissi, Abdessatar
20 Volovich, Igor’ Vasil’evich
19 Dhahri, Ameur
19 Gough, John E.
18 Ji, Un Cig
14 Pechen, Alexander Nikolaevich
14 Sakbaev, Vsevolod Zhanovich
13 Kozyrev, Sergeĭ Vladimirovich
13 Ouerdiane, Habib
12 Boukas, Andreas
12 Lenczewski, Romuald
12 Rguigui, Hafedh
12 Schürmann, Michael
11 Obata, Nobuaki
11 Petz, Dénes
11 Rebeï, Habib
11 Skeide, Michael
11 Smolyanov, Oleg Georgievich
11 Teretenkov, Alexander E.
11 Volkov, Boris O.
11 Watanabe, Noboru
10 Bozejko, Marek
10 Crismale, Vitonofrio
10 Lindsay, J. Martin
10 Riahi, Anis
10 Saitô, Kimiaki
9 Fannes, Mark
9 Park, Yong Moon
9 Stan, Aurel Iulian
9 Umanità, Veronica
8 Asai, Nobuhiro
8 Asano, Masanari
8 Basieva, Irina
8 Franz, Uwe
8 Mohari, Anilesh
7 Albeverio, Sergio A.
7 Aref’eva, Irina Yaroslavna
7 Frigerio, Alberto
7 Ko, Chul Ki
7 Kuo, Hui-Hsiung
7 Quezada, Roberto B.
7 Sinha, Kalyan B.
7 Tanaka, Yoshiharu
6 Bhat, B. V. Rajarama
6 Cecchini, Carlo
6 Duvenhage, Rocco
6 Hudson, Robin Lyth
6 Sasso, Emanuela
6 Skalski, Adam G.
6 Wang, Caishi
6 Wills, Stephen J.
6 Yoo, Hyun Jae
5 Amosov, Grigoriĭ Gennad’evich
5 Belavkin, Viacheslav
5 Carbone, Raffaella
5 Das, P. K.
5 Ettaieb, Aymen
5 Hasebe, Takahiro
5 Haven, Emmanuel E.
5 Iriyama, Satoshi
5 Jenčová, Anna
5 Köstler, Claus
5 Lytvynov, Eugene W.
5 Pandiscia, Carlo
5 Privault, Nicolas
5 Speicher, Roland
4 Anshelevich, Michael
4 Applebaum, David B.
4 Ayed, Wided
4 Bagarello, Fabio
4 Ben Ghorbal, Anis
4 Benatti, Fabio
4 Bischoff, Marcel
4 Bouten, Luc
4 Del Vecchio, Simone
4 Dhahri, Abdallah
4 El Gheteb, Soueidy
4 Gudder, Stanley P.
4 Hachicha, Skander
4 Hamdi, Tarek
4 Hiai, Fumio
4 Høegh-Krohn, Raphael J.
4 Hollands, Stefan
4 Hora, Akihito
4 Krystek, Anna Dorota
4 Kubo, Izumi
4 Kümmerer, Burkhard
4 Lehner, Franz
4 Liebscher, Volkmar
4 Mora, Carlos M.
4 Mukherjee, Kunal K.
4 Nachtergaele, Bruno
...and 570 more Authors
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Cited in 173 Serials

191 Infinite Dimensional Analysis, Quantum Probability and Related Topics
62 Journal of Mathematical Physics
54 Communications in Mathematical Physics
38 Journal of Functional Analysis
35 Open Systems & Information Dynamics
19 Reports on Mathematical Physics
16 Mathematical Notes
16 Reviews in Mathematical Physics
16 Probability Theory and Related Fields
16 Journal of Mathematical Sciences (New York)
16 Foundations of Physics
16 Proceedings of the Steklov Institute of Mathematics
15 Journal of Mathematical Analysis and Applications
14 Journal of Statistical Physics
14 Theoretical and Mathematical Physics
13 Letters in Mathematical Physics
13 Functional Analysis and its Applications
12 International Journal of Theoretical Physics
10 Quantum Information Processing
9 Doklady Mathematics
9 Annales Henri Poincaré
9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
8 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Lobachevskii Journal of Mathematics
8 Stochastics
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Random Operators and Stochastic Equations
7 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Journal of Mathematical Psychology
6 Mathematische Zeitschrift
6 Proceedings of the American Mathematical Society
6 Journal of Theoretical Probability
5 Indian Journal of Pure & Applied Mathematics
5 Physica A
5 Journal of Physics A: Mathematical and Theoretical
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Chaos, Solitons and Fractals
4 Transactions of the American Mathematical Society
4 Acta Applicandae Mathematicae
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of High Energy Physics
4 Complex Analysis and Operator Theory
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 Reports
3 Inventiones Mathematicae
3 Journal of Soviet Mathematics
3 Stochastic Analysis and Applications
3 Linear Algebra and its 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
3 Quantum Studies: Mathematics and Foundations
2 International Journal of Modern Physics A
2 International Journal of Control
2 Linear and Multilinear Algebra
2 Physics Letters. A
2 Ukrainian Mathematical Journal
2 Journal of Geometry and Physics
2 Advances in Mathematics
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 Journal of Multivariate Analysis
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 Annals of Physics
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 Journal of Statistical Mechanics: Theory and Experiment
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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 Nuclear Physics. B
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Bulletin of Mathematical Biology
...and 73 more Serials
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Cited in 54 Fields

509 Quantum theory (81-XX)
403 Functional analysis (46-XX)
382 Probability theory and stochastic processes (60-XX)
161 Statistical mechanics, structure of matter (82-XX)
147 Operator theory (47-XX)
45 Combinatorics (05-XX)
45 Information and communication theory, circuits (94-XX)
37 Dynamical systems and ergodic theory (37-XX)
34 Statistics (62-XX)
28 Partial differential equations (35-XX)
25 Measure and integration (28-XX)
23 Nonassociative rings and algebras (17-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Group theory and generalizations (20-XX)
18 Special functions (33-XX)
17 Global analysis, analysis on manifolds (58-XX)
16 Computer science (68-XX)
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