Edit Profile (opens in new tab) Accardi, Luigi Compute Distance To: Compute Author ID: accardi.luigi Published as: Accardi, Luigi; Accardi, L.; Accardi, Luigi. more...less Homepage: http://volterra.uniroma2.it/center/index.php?option=com_content&view=article&id=... External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 319 Publications since 1972, including 1 Book 25 Contributions as Editor · 1 Further Contribution Reviewing Activity: 1 Review Co-Authors: 128 Co-Authors with 295 Joint Publications 2,166 Co-Co-Authors all top 5 Co-Authors 47 single-authored 44 Boukas, Andreas 44 Lu, Yun Gang 21 Ohya, Masanori 16 Volovich, Igor’ Vasil’evich 13 Smolyanov, Oleg Georgievich 12 Kozyrev, Sergeĭ Vladimirovich 11 Mukhamedov, Farruh Maksutovich 10 Frigerio, Alberto 10 Obata, Nobuaki 10 Saitô, Kimiaki 9 Barhoumi, Abdessatar 9 Ji, Un Cig 9 Ouerdiane, Habib 8 Dhahri, Ameur 8 Kuo, Hui-Hsiung 8 Rebeï, Habib 7 Fagnola, Franco 6 Fidaleo, Francesco 6 Freudenberg, Wolfgang 6 Regoli, Massimo 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 Souissi, Abdessatar 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 Dragovich, Branko 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 1 Katanaev, Mikhaĭl Orinovich 1 Kossakowski, Andrzej 1 Kozlov, Valeriĭ Vasil’evich 1 Larsson, Jan-Åke 1 Lenczewski, Romuald ...and 29 more Co-Authors all top 5 Serials 57 Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 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 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 Annales Henri Poincaré 2 Milan Journal of Mathematics 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 Methods of Functional Analysis and Topology 1 Discrete Dynamics in Nature and Society 1 Lobachevskii Journal of Mathematics 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 227 Quantum theory (81-XX) 217 Probability theory and stochastic processes (60-XX) 106 Functional analysis (46-XX) 50 Statistical mechanics, structure of matter (82-XX) 33 Operator theory (47-XX) 23 General and overarching topics; collections (00-XX) 20 Nonassociative rings and algebras (17-XX) 12 Information and communication theory, circuits (94-XX) 11 Measure and integration (28-XX) 11 Biology and other natural sciences (92-XX) 10 History and biography (01-XX) 7 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistics (62-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 3 Topological groups, Lie groups (22-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 \(K\)-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 230 Publications have been cited 1,797 times in 902 Documents Cited by ▼ Year ▼ Quantum stochastic processes. Zbl 0498.60099Accardi, Luigi; Frigerio, Alberto; Lewis, John T. 104 1982 Conditional expectations in von Neumann algebras and a theorem of Takesaki. Zbl 0483.46043Accardi, Luigi; Cecchini, Carlo 91 1982 Interacting Fock spaces and Gaussianization of probability measures. Zbl 0922.60013Accardi, Luigi; Bożejko, Marek 82 1998 Quantum theory and its stochastic limit. Zbl 1140.81307Accardi, Luigi; Lu, Yun Gang; Volovich, Igor 78 2002 Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi. Zbl 1141.81005Hora, Akihito; Obata, Nobuaki 75 2007 The noncommutative Markovian property. Zbl 0395.60076Accardi, L. 74 1975 Markovian cocycles. Zbl 0534.46045Accardi, L.; Frigerio, A. 39 1983 Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras. Zbl 1006.60064Accardi, Luigi; Franz, Uwe; Skeide, Michael 39 2002 The weak coupling limit as a quantum functional central limit. Zbl 0703.60096Accardi, Luigi; Frigerio, A.; Lu, Yun Gang 38 1990 Compound channels, transition expectations, and liftings. Zbl 0941.94011Accardi, L.; Ohya, M. 33 1999 The Wigner semi-circle law in quantum electro dynamics. Zbl 0856.46047Accardi, Luigi; Lu, Yun Gang 28 1996 Quantum independent increment processes on superalgebras. Zbl 0627.60014Accardi, Luigi; Schürmann, Michael; von Waldenfels, Wilhelm 27 1988 On the quantum Feynman-Kac formula. Zbl 0437.60030Accardi, Luigi 24 1978 Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel 23 2004 Notions of independence related to the free group. Zbl 0913.46057Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki 23 1998 Markov states and chains on the CAR algebra. Zbl 1125.46050Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh 22 2007 Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055Accardi, Luigi; Fagnola, Franco; Hachicha, Skander 21 2006 Nonrelativistic quantum mechanics as a noncommutative Markov process. Zbl 0367.60119Accardi, Luigi 21 1976 Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki 20 2004 Quantum Markov fields. Zbl 1052.46047Accardi, Luigi; Fidaleo, Francesco 19 2003 Moments and commutators of probability measures. Zbl 1139.60330Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel 19 2007 A representation free quantum stochastic calculus. Zbl 0759.60068Accardi, Luigi; Fagnola, F.; Quaegebeur, J. 19 1992 Non-homogeneous quantum Markov states and quantum Markov fields. Zbl 1031.46074Accardi, Luigi; Fidaleo, Francesco 19 2003 Quantum Markov fields on graphs. Zbl 1211.46072Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh 19 2010 Quantum Markov model for data from Shafir-Tversky experiments in cognitive psychology. Zbl 1182.81051Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori 18 2009 Dynamical entropy through quantum Markov chains. Zbl 0920.46048Accardi, Luigi; Ohya, Masanori; Watanabe, Noboru 18 1997 Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian. Zbl 0904.58011Accardi, Luigi; Gibilisco, Paolo; Volovich, Igor A. 18 1994 Markovian KMS-states for one-dimensional spin chains. Zbl 1043.82506Accardi, Luigi; Liebscher, Volkmar 17 1999 Renormalized powers of quantum white noise. Zbl 1136.60051Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort 17 2006 Entangled Markov chains. Zbl 1102.46043Fidaleo, Francesco; Accardi, Luigi 15 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 1239.46044Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 15 2011 On Laplacians and traces. Zbl 1041.46516Accardi, L.; Smolianov, O. G. 14 1993 Local perturbations of conditional expectations. Zbl 0435.60100Accardi, L. 14 1979 Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060Accardi, Luigi; Amosov, Grigori; Franz, Uwe 14 2004 A continuous version of De Finetti’s theorem. Zbl 0778.60003Accardi, Luigi; Lu, Yun Gang 13 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 1237.82009Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 13 2011 Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501Accardi, L.; Crismale, V.; Lu, Y. G. 12 2005 Exotic Laplacians and associated stochastic processes. Zbl 1172.60019Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 12 2009 Decompositions of the free product of graphs. Zbl 1142.05333Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał 12 2007 On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020Accardi, Luigi; Fagnola, Franco; Quezada, Roberto 12 2016 The exotic (higher order Lévy) Laplacians generate the Markov processes given by distribution derivatives of white noise. Zbl 1285.60069Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 12 2013 Note on quantum dynamical entropies. Zbl 0885.46054Accardi, Luigi; Ohya, Masanori; Watanabe, Noboru 12 1996 Noise and dissipation in quantum theory. Zbl 0718.60131Accardi, Luigi 11 1990 A quantum approach to Laplace operators. Zbl 1097.60065Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib 11 2006 On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 11 2014 On the stochastic limit for quantum theory. Zbl 0887.60094Accardi, Luigi; Gough, J.; Lu, Yun Gang 11 1995 Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065Accardi, Luigi; Boukas, Andreas 11 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 1365.42019Accardi, Luigi; Barhoumi, Abdessatar; Dhahri, Ameur 10 2017 On the structure of classical and quantum flows. Zbl 0837.60090Accardi, Luigi; Mohari, Anilesh; Volterra, Centro V. 10 1996 Dynamical detailed balance and local KMS condition for non-equilibrium states. Zbl 1073.82023Accardi, Luigi; Imafuku, Kentaro 10 2004 An invitation to the weak coupling and low density limits. Zbl 0927.60090Accardi, L.; Lu, Y. G.; Alicki, R.; Frigerio, A. 10 1991 Entangled Markov chains are indeed entangled. Zbl 1106.60067Accardi, Luigi; Matsuoka, Takashi; Ohya, Masanori 10 2006 Time reflected Markov processes. Zbl 1043.81591Accardi, Luigi; Mohari, Anilesh 9 1999 Generalized Lévy Laplacians and Cesàro means. Zbl 1261.46034Accardi, L.; Smolyanov, O. G. 9 2009 Quantum central limit theorems for strongly mixing random variables. Zbl 0553.60031Accardi, L.; Bach, A. 9 1985 Stopping times for quantum Markov chains. Zbl 0751.60081Accardi, Luigi; Koroliuk, D. 9 1992 Some loopholes to save quantum nonlocality. Zbl 1085.81006Accardi, Luigi 9 2005 The weak coupling limit for Fermions. Zbl 0735.60106Accardi, Luigi; Frigerio, A.; Lu, Yun Gang 8 1991 The number process as low density limit of Hamiltonian models. Zbl 0738.60099Accardi, Luigi; Lu, Yun Gang 8 1991 On the relation of the square of white noise and the finite difference algebra. Zbl 1243.81101Accardi, Luigi; Skeide, Michael 8 2000 Quantum stochastic equation for the low density limit. Zbl 1052.81055Accardi, L.; Pechen, A. N.; Volovich, I. V. 8 2002 The Ito algebra of quantum Gaussian fields. Zbl 0669.60099Accardi, Luigi; Quaegebeur, J. 8 1989 A martingale characterization of canonical commutation and anticommutation relations. Zbl 0642.60032Accardi, Luigi; Parthasarathy, K. R. 8 1988 Exotic laplacians and derivatives of white noise. Zbl 1213.60114Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 8 2011 Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033Accardi, L.; Smolyanov, O. G. 8 2006 Quantum Markov chains: The recurrence problem. Zbl 0929.60094Accardi, L.; Koroliuk, D. 8 1991 Quantum Markov chains: a unification approach. Zbl 1501.46052Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb 8 2020 Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra. Zbl 1142.60045Accardi, Luigi; Boukas, Andreas 7 2008 Lévy Laplacian acting on operators. Zbl 1142.47362Accardi, L.; Querdiane, H.; Smolyanov, O. G. 7 2003 The quantum Black-Scholes equation. Zbl 1157.91348Accardi, Luigi; Boukas, Andreas 7 2006 Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665Accardi, L.; Kozyrev, S. V.; Pechen, A. N. 7 2006 Classical and nonclassical Levy Laplacians. Zbl 1155.35482Accardi, L.; Smolyanov, O. G. 7 2007 Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang 7 2008 A stochastic limit approach to the SAT problem. Zbl 1108.81006Accardi, Luigi; Ohya, Masanori 7 2004 The quadratic Fock functor. Zbl 1309.81251Accardi, Luigi; Dhahri, Ameur 7 2010 Quadratic exponential vectors. Zbl 1241.81119Accardi, Luigi; Dhahri, Ameur 7 2009 Quantum probability, renormalization and infinite-dimensional *-Lie algebras. Zbl 1193.60090Accardi, Luigi; Boukas, Andreas 7 2009 The low-density limit of quantum systems. Zbl 0745.60106Accardi, Luigi; Lu, Yun Gang 6 1991 A stochastic golden rule and quantum Langevin equation for the low density limit. Zbl 1053.82019Accardi, L.; Pechen, A. N.; Volovich, I. V. 6 2003 On the EPR-chameleon experiment. Zbl 1057.81510Accardi, Luigi; Imafuku, Kentaro; Regoli, Massimo 6 2002 The quantum weak coupling limit. II: Langevin equation and finite temperature case. Zbl 0846.60098Accardi, Luigi; Frigerio, Alberto; Lu, Yun G. 6 1995 On the quadratic Heisenberg group. Zbl 1213.60123Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib 6 2010 Change of variable formulas for infinite-dimensional distributions. Zbl 0898.46043Accardi, Luigi; Smolyanov, O. G.; Smolyanova, M. O. 6 1996 Construction of a new class of quantum Markov fields. Zbl 1362.60065Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar 5 2016 Markov property – recent developments on the quantum Markov property. Zbl 1052.46046Accardi, Luigi; Fidaleo, Francesco 5 2003 Yang-Mills equations and Lévy-Laplacians. Zbl 0844.60097Accardi, Luigi 5 1995 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 5 1984 Renormalized square of white noise quantum time shift. Zbl 1331.60134Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib 5 2012 Higher order multi-dimensional extensions of Cesàro theorem. Zbl 1345.40004Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 5 2015 Interacting Fock space versus full Fock module. Zbl 1331.46051Accardi, Luigi; Skeide, Michael 5 2008 White noise approach to stochastic integration. Zbl 1119.60038Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib 5 2005 Noncommutative Markov chains associated to a preassigned evolution: an application to the quantum theory of measurement. Zbl 0385.60087Accardi, Luigi 5 1978 On the structure of Markov flows. Zbl 1016.46041Accardi, L.; Kozyrev, S. V. 5 2001 On classical and quantum liftings. Zbl 1221.81117Accardi, L.; Chruściński, D.; Kossakowski, A.; Matsuoka, T.; Ohya, M. 5 2010 The Ornstein-Uhlenbeck process associated with the Lévy Laplacian and its Dirichlet form. Zbl 0880.60083Accardi, Luigi; Bogachev, Vladimir I. 5 1997 Nonlinear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis. Zbl 1044.81647Accardi, Luigi; Lu, Yun-Gang; Volovich, Igor 5 1998 The Itô table of the square of white noise. Zbl 1042.81054Accardi, Luigi; Hida, Takeyuki; Kuo, Hui-Hsiung 4 2001 Interacting Fock spaces and orthogonal polynomials in several variables. Zbl 1046.81061Accardi, Luigi; Nahni, Marcolino 4 2002 Generic quantum Markov semigroups: the Fock case. Zbl 1084.81047Accardi, L.; Hachicha, S.; Querdiane, H. 4 2005 Uniqueness of quantum Markov chains associated with an \(XY\)-model on a Cayley tree of order 2. Zbl 1245.82018Accardi, 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 1490.82012Accardi, Luigi; Lu, Yun Gang 1 2022 A Markov-Dobrushin inequality for quantum channels. Zbl 1500.81016Accardi, Luigi; Lu, Yun Gang; Souissi, Abdessatar 2 2021 Quantum Markov chains: a unification approach. Zbl 1501.46052Accardi, Luigi; Souissi, Abdessatar; Soueidy, El Gheteb 8 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 1503.81062Accardi, L.; García-Corte, J. C.; Guerrero-Poblete, F.; Quezada, R. 1 2020 Bogolyubov endomorphisms and non-commutative hyperbolic functions. Zbl 1465.46064Accardi, L.; Boukas, A.; Lu, Yun-Gang; Taouil, H. 1 2020 Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra. Zbl 1458.60083Rebei, Habib; Accardi, Luigi; Taouil, Hajer 2 2019 The \(q q\)-bit (III): symmetric \(q\)-Jordan-Wigner embeddings. Zbl 1478.82006Accardi, Luigi; Lu, Yun-Gang 1 2019 \(C^*\)-quadratic quantization. Zbl 1401.60132Accardi, Luigi; Dhahri, Ameur; Rebei, Habib 2 2018 The \(qq\)-bit. I: Central limits with left \(q\)-Jordan-Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of \(q\). Zbl 1409.82006Accardi, Luigi; Lu, Yun-Gang 2 2018 Jacobi sequences of powers of random variables. Zbl 1390.60012Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed 1 2018 Quantum probability and Hilbert’s sixth problem. Zbl 1470.81008Accardi, Luigi 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 1365.42019Accardi, Luigi; Barhoumi, Abdessatar; Dhahri, Ameur 10 2017 Analytic characterizations of infinite dimensional distributions. Zbl 1366.60092Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 3 2017 Jacobi sequences of squares of random variables. Zbl 1394.60010Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed 1 2017 The first 40 years of GKSL generators and some proposal for the future. Zbl 1377.81077Accardi, Luigi; Lu, Yun Gang 1 2017 Mathematical aspects of Bose-Einstein condensation in equilibrium and local equilibrium conditions. Zbl 1386.82005Accardi, Luigi; Pandiscia, Carlo 1 2017 On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type. Zbl 1346.82020Accardi, Luigi; Fagnola, Franco; Quezada, Roberto 12 2016 Construction of a new class of quantum Markov fields. Zbl 1362.60065Accardi, Luigi; Mukhamedov, Farrukh; Souissi, Abdessatar 5 2016 Bose-Einstein condensation and condensation of \(q\)-particles in equilibrium and nonequilibrium thermodynamics. Zbl 1378.82012Accardi, Luigi; Fidaleo, Francesco 4 2016 \(*\)-Lie algebras canonically associated to probability measures on \(\mathbb R\) with all moments. Zbl 1372.60005Accardi, Luigi; Barhoumi, Abdessatar; Lu, Yun Gang; Rhaima, Mohamed 2 2016 An information complexity index for probability measures on \(\mathbb{R}\) with all moments. Zbl 1354.60009Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed 1 2016 Application of non-Kolmogorovian probability and quantum adaptive dynamics to unconscious inference in visual perception process. Zbl 1346.81026Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori; Tanaka, Yoshiharu; Yamato, Ichiro 1 2016 \(C^{\ast}\)-non-linear second quantization. Zbl 1342.81623Accardi, Luigi; Dhahri, Ameur 1 2016 Higher order multi-dimensional extensions of Cesàro theorem. Zbl 1345.40004Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 5 2015 Fourier transform of random variables associated with the multi-dimensional Heisenberg Lie algebra. Zbl 1320.60015Accardi, Luigi; Boukas, Andreas 3 2015 Polynomial extensions of the Weyl \(C^*\)-algebra. Zbl 1329.81209Accardi, Luigi; Dhahri, Ameur 2 2015 Fermionic Meixner classes, Lie algebras and quadratic Hamiltonians. Zbl 1403.81078Accardi, L.; Aref’eva, I. Ya.; Volovich, I. V. 1 2015 Contractions and central extensions of quantum white noise Lie algebras. Zbl 1323.81039Accardi, Luigi; Boukas, Andreas 1 2015 On quantum Markov chains on Cayley tree. III: Ising model. Zbl 1316.46046Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 11 2014 The quantum decomposition associated with the Lévy white noise processes without moments. Zbl 1312.60055Accardi, Luigi; Rebei, Habib; Riahi, Anis 3 2014 The exotic (higher order Lévy) Laplacians generate the Markov processes given by distribution derivatives of white noise. Zbl 1285.60069Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 12 2013 The quantum decomposition of random variables without moments. Zbl 1283.60107Accardi, Luigi; Rebei, Habib; Riahi, Anis 2 2013 Renormalized square of white noise quantum time shift. Zbl 1331.60134Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib 5 2012 Renormalization and central extensions. Zbl 1251.81058Accardi, Luigi; Boukas, A. 3 2012 Lévy processes through time shift on oscillator Weyl algebra. Zbl 1331.60158Accardi, 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 1239.46044Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 15 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 1237.82009Accardi, Luigi; Mukhamedov, Farrukh; Saburov, Mansoor 13 2011 Exotic laplacians and derivatives of white noise. Zbl 1213.60114Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 8 2011 Uniqueness of quantum Markov chains associated with an \(XY\)-model on a Cayley tree of order 2. Zbl 1245.82018Accardi, L.; Mukhamedov, F. M.; Saburov, M. Kh. 4 2011 Quantum Laplacians on generalized operators on boson Fock space. Zbl 1260.60136Accardi, Luigi; Barhoumi, Abdessatar; Ji, Un Cig 2 2011 Quantum Markov fields on graphs. Zbl 1211.46072Accardi, Luigi; Ohno, Hiromichi; Mukhamedov, Farrukh 19 2010 The quadratic Fock functor. Zbl 1309.81251Accardi, Luigi; Dhahri, Ameur 7 2010 On the quadratic Heisenberg group. Zbl 1213.60123Accardi, Luigi; Ouerdiane, Habib; Rebeï, Habib 6 2010 On classical and quantum liftings. Zbl 1221.81117Accardi, 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 1225.60121Accardi, Luigi; Barhoumi, Abdessatar; Riahi, Anis 3 2010 On the characteristic function of random variables associated with boson Lie algebras. Zbl 1331.60013Accardi, Luigi; Boukas, Andreas 2 2010 Extending the set of quadratic exponential vectors. Zbl 1208.81124Accardi, Luigi; Dhahri, Ameur; Skeide, Michael 2 2010 Quantum probability: new perspectives for the laws of chance. Zbl 1222.81034Accardi, Luigi 1 2010 Quantum Markov model for data from Shafir-Tversky experiments in cognitive psychology. Zbl 1182.81051Accardi, Luigi; Khrennikov, Andrei; Ohya, Masanori 18 2009 Exotic Laplacians and associated stochastic processes. Zbl 1172.60019Accardi, Luigi; Ji, Un Cig; Saitô, Kimiaki 12 2009 Generalized Lévy Laplacians and Cesàro means. Zbl 1261.46034Accardi, L.; Smolyanov, O. G. 9 2009 Quadratic exponential vectors. Zbl 1241.81119Accardi, Luigi; Dhahri, Ameur 7 2009 Quantum probability, renormalization and infinite-dimensional *-Lie algebras. Zbl 1193.60090Accardi, Luigi; Boukas, Andreas 7 2009 Cohomology of the Virasoro-Zamolodchikov and renormalized higher powers of white noise *-Lie algebras. Zbl 1257.81045Accardi, Luigi; Boukas, Andreas 4 2009 A note on noncommutative unique ergodicity and weighted means. Zbl 1155.47014Accardi, Luigi; Mukhamedov, Farrukh 4 2009 Foundations of probability and physics – 5. Växjö, Sweden, 24–27 August 2008. Proceedings of the international conference. Zbl 1162.81001 1 2009 Analytic central extensions of infinite dimensional white noise *-Lie algebras. Zbl 1241.60034Accardi, Luigi; Boukas, Andreas 1 2009 Non Kolmogorov probability models outside quantum mechanics. Zbl 1183.81005Accardi, Luigi 1 2009 Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra. Zbl 1142.60045Accardi, Luigi; Boukas, Andreas 7 2008 Singleton conditions and quantum de Finetti’s theorem. Zbl 1178.46060Accardi, Luigi; Ghorbal, Anis Ben; Crismale, Vitonofrio; Lu, Yun Gang 7 2008 Interacting Fock space versus full Fock module. Zbl 1331.46051Accardi, 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 1145.81036Accardi, Luigi; Boukas, Andreas 4 2008 Markov fields on graphs. Zbl 1280.60031Accardi, Luigi; Ohno, Hiromichi 2 2008 Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi. Zbl 1141.81005Hora, Akihito; Obata, Nobuaki 75 2007 Markov states and chains on the CAR algebra. Zbl 1125.46050Accardi, Luigi; Fidaleo, Francesco; Mukhamedov, Farruh 22 2007 Moments and commutators of probability measures. Zbl 1139.60330Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel 19 2007 Decompositions of the free product of graphs. Zbl 1142.05333Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał 12 2007 Classical and nonclassical Levy Laplacians. Zbl 1155.35482Accardi, L.; Smolyanov, O. G. 7 2007 Lie algebras associated with the renormalized higher powers of white noise. Zbl 1328.60163Accardi, Luigi; Boukas, Andreas 3 2007 Feynman formulas for evolution equations with Levy Laplacians on manifolds. Zbl 1143.35101Accardi, L.; Smolyanov, O. G. 2 2007 Universality of the EPR-chameleon model. Zbl 1208.81039Accardi, Luigi; Uchiyama, Satoshi 2 2007 Itô calculus and quantum white noise calculus. Zbl 1201.81079Accardi, Luigi; Boukas, Andreas 1 2007 Master fields, drift and dispersion in the stochastic limit of quantum theory. Zbl 1132.81035Accardi, L.; Cubillo, F. G. 1 2007 Powers of the delta function. Zbl 1139.81363Accardi, Luigi; Boukas, Andreas 1 2007 White noise Heisenberg evolution and Evans-Hudson flows. Zbl 1112.60052Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib 1 2007 Module white noise calculus. Zbl 1199.60251Accardi, L.; Ayed, W.; Ouerdiane, H. 1 2007 Generic \(q\)-Markov semigroups and speed of convergence of \(q\)-algorithms. Zbl 1115.46055Accardi, Luigi; Fagnola, Franco; Hachicha, Skander 21 2006 Renormalized powers of quantum white noise. Zbl 1136.60051Accardi, Luigi; Boukas, Andreas; Notes, Uwe Franzshort 17 2006 A quantum approach to Laplace operators. Zbl 1097.60065Accardi, Luigi; Barhoumi, Abdessatar; Ouerdiane, Habib 11 2006 Renormalized higher powers of white noise (RHPWN) and conformal field theory. Zbl 1102.81065Accardi, Luigi; Boukas, Andreas 11 2006 Entangled Markov chains are indeed entangled. Zbl 1106.60067Accardi, Luigi; Matsuoka, Takashi; Ohya, Masanori 10 2006 Feynman formulas for evolution equations with Lévy Laplacians on infinite-dimensional manifolds. Zbl 1327.58033Accardi, L.; Smolyanov, O. G. 8 2006 The quantum Black-Scholes equation. Zbl 1157.91348Accardi, Luigi; Boukas, Andreas 7 2006 Coherent quantum control of \(\Lambda\)-atoms through the stochastic limit. Zbl 1152.81665Accardi, L.; Kozyrev, S. V.; Pechen, A. N. 7 2006 Higher powers of \(q\)-deformed white noise. Zbl 1123.60055Accardi, Luigi; Boukas, Andreas 4 2006 Coherent population trapping and partial decoherence in the stochastic limit. Zbl 1104.81035Accardi, L.; Kozyrev, S. V. 4 2006 The emergence of the Virasoro and \(W_\infty\) algebras through the renormalized higher powers of quantum white noise. Zbl 1115.81045Accardi, Luigi; Boukas, Andreas 4 2006 Could we now convince Einstein? Zbl 1114.81009Accardi, Luigi 3 2006 Nonequilibrium steady states for a harmonic oscillator interacting with two Bose fields – stochastic limit approach and \(C^*\) algebraic approach. Zbl 1151.82372Tasaki, S.; Accardi, L. 2 2006 Entangled Markov chains. Zbl 1102.46043Fidaleo, Francesco; Accardi, Luigi 15 2005 Constructive universal central limit theorems based on interacting Fock spaces. Zbl 1079.60501Accardi, L.; Crismale, V.; Lu, Y. G. 12 2005 Some loopholes to save quantum nonlocality. Zbl 1085.81006Accardi, Luigi 9 2005 White noise approach to stochastic integration. Zbl 1119.60038Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib 5 2005 Generic quantum Markov semigroups: the Fock case. Zbl 1084.81047Accardi, L.; Hachicha, S.; Querdiane, H. 4 2005 White noise calculus and stochastic calculus. Zbl 1136.60050Accardi, L.; Boukas, Andreas 2 2005 Renormalized squares of boson fields. Zbl 1071.60101Accardi, L.; Roschin, R. 2 2005 Characterization of probability measures through the canonically associated interacting Fock spaces. Zbl 1085.46043Accardi, Luigi; Kuo, Hui-Hsiung; Stan, Aurel 23 2004 Monotone independence, comb graphs and Bose-Einstein condensation. Zbl 1073.81057Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki 20 2004 Second quantized automorphisms of the renormalized square of white noise (RSWN) algebra. Zbl 1077.81060Accardi, Luigi; Amosov, Grigori; Franz, Uwe 14 2004 Dynamical detailed balance and local KMS condition for non-equilibrium states. Zbl 1073.82023Accardi, Luigi; Imafuku, Kentaro 10 2004 ...and 130 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 643 Authors 122 Accardi, Luigi 33 Fagnola, Franco 33 Ohya, Masanori 32 Lu, Yun Gang 32 Mukhamedov, Farruh Maksutovich 23 Fidaleo, Francesco 23 Khrennikov, Andreĭ Yur’evich 19 Barhoumi, Abdessatar 19 Gough, John E. 19 Volovich, Igor’ Vasil’evich 17 Dhahri, Ameur 17 Ji, Un Cig 15 Souissi, Abdessatar 13 Kozyrev, Sergeĭ Vladimirovich 13 Ouerdiane, Habib 13 Pechen, Alexander Nikolaevich 13 Sakbaev, Vsevolod Zhanovich 12 Boukas, Andreas 12 Lenczewski, Romuald 12 Rguigui, Hafedh 12 Schürmann, Michael 11 Obata, Nobuaki 11 Petz, Dénes 11 Rebeï, Habib 11 Smolyanov, Oleg Georgievich 11 Watanabe, Noboru 10 Bozejko, Marek 10 Crismale, Vitonofrio 10 Lindsay, J. Martin 10 Saitô, Kimiaki 10 Skeide, Michael 10 Volkov, Boris O. 9 Fannes, Mark 9 Park, Yong Moon 9 Riahi, Anis 9 Stan, Aurel Iulian 9 Teretenkov, Alexander E. 9 Umanità, Veronica 8 Asai, Nobuhiro 8 Asano, Masanari 8 Basieva, Irina 8 Franz, Uwe 8 Mohari, Anilesh 7 Albeverio, Sergio A. 7 Frigerio, Alberto 7 Ko, Chul Ki 7 Kuo, Hui-Hsiung 7 Quezada, Roberto B. 7 Tanaka, Yoshiharu 6 Aref’eva, Irina Yaroslavna 6 Bhat, B. V. Rajarama 6 Cecchini, Carlo 6 Hudson, Robin Lyth 6 Sasso, Emanuela 6 Sinha, Kalyan B. 6 Skalski, Adam G. 6 Wills, Stephen J. 6 Yoo, Hyun Jae 5 Amosov, Grigoriĭ Gennad’evich 5 Belavkin, Viacheslav 5 Carbone, Raffaella 5 Duvenhage, Rocco 5 Ettaieb, Aymen 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 5 Wang, Caishi 4 Anshelevich, Michael 4 Applebaum, David B. 4 Ayed, Wided 4 Bagarello, Fabio 4 Ben Ghorbal, Anis 4 Benatti, Fabio 4 Bouten, Luc 4 Dhahri, Abdallah 4 Gudder, Stanley P. 4 Hachicha, Skander 4 Hasebe, Takahiro 4 Hiai, Fumio 4 Høegh-Krohn, Raphael J. 4 Hora, Akihito 4 Krystek, Anna Dorota 4 Kubo, Izumi 4 Kümmerer, Burkhard 4 Liebscher, Volkmar 4 Mora, Carlos M. 4 Mukherjee, Kunal K. 4 Nachtergaele, Bruno 4 Parthasarathy, Kalyanapuram Rangachari 4 Popa, Gabriela 4 Quaegebeur, Johan 4 Rhaima, Mohamed 4 Saburov, Mansoor 4 Trushechkin, Anton Sergeevich 4 van Handel, Ramon ...and 543 more Authors all top 5 Cited in 171 Serials 187 Infinite Dimensional Analysis, Quantum Probability and Related Topics 62 Journal of Mathematical Physics 51 Communications in Mathematical Physics 37 Journal of Functional Analysis 34 Open Systems & Information Dynamics 19 Reports on Mathematical Physics 16 Mathematical Notes 16 Probability Theory and Related Fields 16 Foundations of Physics 16 Proceedings of the Steklov Institute of Mathematics 15 Journal of Mathematical Sciences (New York) 14 Journal of Mathematical Analysis and Applications 14 Journal of Statistical Physics 14 Theoretical and Mathematical Physics 14 Reviews in Mathematical Physics 13 Letters in Mathematical Physics 13 Functional Analysis and its Applications 10 International Journal of Theoretical Physics 9 Doklady Mathematics 9 Quantum Information Processing 9 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 8 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Annales Henri Poincaré 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 6 Lobachevskii Journal of Mathematics 5 Indian Journal of Pure & Applied Mathematics 5 Physica A 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 Complex Analysis and Operator Theory 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 Mathematical Physics, Analysis and Geometry 3 Journal of High Energy Physics 3 Banach Journal of Mathematical Analysis 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 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 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 Stochastics and Dynamics 2 Milan Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Confluentes Mathematici 2 Analysis and Mathematical Physics 2 Journal of Theoretical Biology 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 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Bulletin of Mathematical Biology 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Archiv der Mathematik ...and 71 more Serials all top 5 Cited in 54 Fields 484 Quantum theory (81-XX) 385 Functional analysis (46-XX) 368 Probability theory and stochastic processes (60-XX) 155 Statistical mechanics, structure of matter (82-XX) 136 Operator theory (47-XX) 43 Information and communication theory, circuits (94-XX) 39 Combinatorics (05-XX) 35 Dynamical systems and ergodic theory (37-XX) 33 Statistics (62-XX) 25 Partial differential equations (35-XX) 22 Nonassociative rings and algebras (17-XX) 21 Measure and integration (28-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Special functions (33-XX) 16 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-XX) 15 Group theory and generalizations (20-XX) 14 Algebraic geometry (14-XX) 14 Associative rings and algebras (16-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Topological groups, Lie groups (22-XX) 12 Biology and other natural sciences (92-XX) 11 Relativity and gravitational theory (83-XX) 10 Functions of a complex variable (30-XX) 10 Ordinary differential equations (34-XX) 10 Abstract harmonic analysis (43-XX) 9 History and biography (01-XX) 9 Number theory (11-XX) 8 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 6 Convex and discrete geometry (52-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 4 Field theory and polynomials (12-XX) 4 Integral transforms, operational calculus (44-XX) 4 Optics, electromagnetic theory (78-XX) 3 Commutative algebra (13-XX) 3 Sequences, series, summability (40-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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