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Accardi, Luigi
Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 22
Presentations: 25

Number of views:
This page:4627
Abstract pages:6840
Full texts:2499
References:790
E-mail: ,

https://www.mathnet.ru/eng/person18509
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/22755

Publications in Math-Net.Ru Citations
2023
1. L. Accardi, Yu. G. Lu, “Fermions from classical probability and statistics defined by stochastic independence”, Izv. RAN. Ser. Mat., 87:5 (2023),  5–40  mathnet  mathscinet  zmath; Izv. Math., 87:5 (2023), 855–890  isi  scopus
2. Luigi Accardi, Irina Ya. Aref'eva, Yungang Lu, Igor' Vasil'evich Volovich, “Two Non-*-Isomorphic *-Lie Algebra Structures on $sl(2,R)$ and Their Physical Origins”, J. Stoch. Anal., 4:4 (2023),  3–13  mathnet  mathscinet
2022
3. L. Accardi, B. Dragovich, S. V. Kozyrev, A. S. Trushechkin, “Preface”, Int. J. Mod. Phys. A, 37:20 (2022),  2202002–1  mathnet
4. Luigi Accardi, Andreas Boukas, Yungang Lu, Alexander Teretenkov, “On the diagonalizability and factorizability of quadratic boson fields”, J. Stoch. Anal., 3:4 (2022),  2–24  mathnet  mathscinet
5. Luigi Accardi, Andreas Boukas, Yun-Gang Lu, Alexander Teretenkov, “The Non–linear and Quadratic Quantization Programs”, Springer Proc. Math. Statist., 390 (2022),  3–53  mathnet  mathscinet 1
2015
6. L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Fermionic Meixner classes, Lie algebras and quadratic hamiltonians”, Indian J. Pure Appl. Math., 46:4 (2015),  517–538  mathnet  mathscinet  isi  elib  scopus 1
2011
7. L. Accardi, F. M. Mukhamedov, M. Kh. Saburov, “Uniqueness of Quantum Markov Chains Associated with an $XY$-Model on a Cayley Tree of Order $2$”, Mat. Zametki, 90:2 (2011),  168–182  mathnet  mathscinet; Math. Notes, 90:2 (2011), 162–174  isi  scopus 6
2009
8. L. Accardi, O. G. Smolyanov, “Generalized Lévy Laplacians and Cesàro means”, Dokl. Akad. Nauk, 424:5 (2009),  583–587  mathnet  mathscinet  elib; Dokl. Math., 79:1 (2009), 90–93  isi  scopus 4
9. Luigi Accardi, Andreas Boukas, “Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras”, SIGMA, 5 (2009), 056, 31 pp.  mathnet  mathscinet  isi  scopus 17
2002
10. L. Accardi, O. G. Smolyanov, “Lévy–Laplace Operators in Functional Rigged Hilbert Spaces”, Mat. Zametki, 72:1 (2002),  145–150  mathnet  mathscinet  zmath; Math. Notes, 72:1 (2002), 129–134  isi  scopus 12
2000
11. L. Accardi, M. Skeide, “Hilbert Module Realization of the Square of White Noise and Finite Difference Algebras”, Mat. Zametki, 68:6 (2000),  803–818  mathnet  mathscinet  zmath; Math. Notes, 68:6 (2000), 683–694  isi 6
12. L. Accardi, T. Khida, V. V. Khtai, “Boson Fock representations of stochastic processes”, Mat. Zametki, 67:1 (2000),  3–14  mathnet  mathscinet  zmath; Math. Notes, 67:1 (2000), 3–11  isi 3
13. L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Non-equilibrium Quantum Field Theory and Entangled Commutation Relations”, Trudy Mat. Inst. Steklova, 228 (2000),  116–135  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 228 (2000), 106–125 6
1998
14. O. G. Smolyanov, L. Accardi, “Extensions of spaces with cylindrical measures and supports of measures determined by the Lévy Laplacian”, Mat. Zametki, 64:4 (1998),  483–492  mathnet  mathscinet  zmath  elib; Math. Notes, 64:4 (1998), 421–428  isi 8
15. L. Accardi, I. V. Volovich, S. V. Kozyrev, “A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field”, TMF, 116:3 (1998),  401–416  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 116:3 (1998), 1050–1062  isi 4
1996
16. L. Accardi, O. G. Smolyanov, “Transformations of Gaussian measures generated by the Lévy–Laplacian, and generalized traces”, Dokl. Akad. Nauk, 350:1 (1996),  5–8  mathnet  mathscinet  zmath
17. L. Accardi, O. G. Smolyanov, M. O. Smolyanova, “Change of variable formulas for infinite-dimensional distributions”, Mat. Zametki, 60:2 (1996),  288–292  mathnet  mathscinet  zmath; Math. Notes, 60:2 (1996), 212–215  isi 10
1995
18. L. Accardi, O. G. Smolyanov, “A Gaussian process generated by the Lévy Laplacian, and the corresponding Feynman–Kac formula”, Dokl. Akad. Nauk, 342:4 (1995),  442–445  mathnet  mathscinet  zmath 2
19. L. Accardi, “Квантовая теория вероятностей: стохастическое исчисление и условные ожидания”, Tr. Mosk. Mat. Obs., 56 (1995),  303–349  mathnet
1993
20. L. Accardi, P. Rozelli, O. G. Smolyanov, “Brownian motion generated by the Levy Laplacian”, Mat. Zametki, 54:5 (1993),  144–148  mathnet  mathscinet  zmath; Math. Notes, 54:5 (1993), 1174–1177  isi 12
1975
21. L. Accardi, “The noncommutative Markovian property”, Funktsional. Anal. i Prilozhen., 9:1 (1975),  1–8  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:1 (1975), 1–7 102
1974
22. L. Accardi, “On the space of square roots of measures”, Dokl. Akad. Nauk SSSR, 217:5 (1974),  993–996  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. The Quantum decomposition of a classical random variable: Applications to Physics, Probability, Mathematical Analysis and Information theory
L. Accardi
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 10, 2024 13:15   
2. Quantum theories canonically associated to orthogonal polynomials, Pearson classes and integrable quantum systems
L. Accardi
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 5, 2023 17:20
3. A unified approach to classical and quantum Hidden Markov processes
L. Accardi
International Conference "New Trends in Mathematical Physics"
November 7, 2022 10:00   
4. My research experience with Oleg Georgevich Smolyanov
L. Accardi
One-Parameter Semigroups of Operators (OPSO) 2022
February 17, 2022 19:00   
5. Deduction of quantum theory and its extensions from classical probability
L. Accardi
Principle Seminar of the Department of Probability Theory, Moscow State University
February 16, 2022 16:45   
6. Algebraic probability theory
L. Accardi
Principle Seminar of the Department of Probability Theory, Moscow State University
February 9, 2022 16:45   
7. Applications of stochastic limit of quantum theory (part I)
L. Accardi
International Conference "Selected Topics in Mathematical Physics" Dedicated to 75-th Anniversary of I. V. Volovich
September 27, 2021 11:30   
8. Orthogonal polynomials and the program of quadratic quantization
L. Accardi
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
June 30, 2021 16:10   
9. Markov Generators of Low Density Limit: the 2-Generic case
R. Quezada Batalla, L. Accardi, F. Fagnola, J. C. Garcia, F. Guerrero
One-Parameter Semigroups of Operators (OPSO) 2021
April 8, 2021 16:10   
10. Stochastic Koopman program, quantum extensions of classical evolutions and a unified approach to classical and quantum dynamical systems
L. Accardi
One-Parameter Semigroups of Operators (OPSO) 2021
April 8, 2021 07:00   
11. The stochastic limit as mathematical theory of quantum transport, dissipation and decays
Luigi Accardi
International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov
November 23, 2020 19:15   
12. The n-dimensional quadratic Heisenberg algebra as a “non-commutative” $sl(2, C)$
Luigi Accardi
Workshop "New Trends in Mathematical Physics"
November 16, 2020 16:00   
13. The problem of polynomial regularity for classical random fields
L. Accardi
Infinite dimensional analysis and mathematical physics
January 20, 2020 18:30
14. Characterization of product states on polynomial algebras in terms of scalar products of $n$-particle vectors
L. Accardi
Steklov Mathematical Institute Seminar
January 16, 2020 16:00   
15. Extensions of quantum mechanics and quantum field theory canonically emerging from the theory of orthogonal polynomials
L. Accardi
International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth
September 10, 2019 10:30   
16. New features of quantum theory emerging from classical probability
L. Accardi
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 12, 2018 15:30   
17. Introduction to the stochastic limit method in the theory of dynamical systems
L. Accardi
New directions in the theory of quantum and complex systems
October 4, 2016 20:00
18. New trends in quantum probability and quantum mechanics
Luigi Accardi
New Trends in Mathematical and Theoretical Physics
October 3, 2016 10:00   
19. Exotic traces, Cesaro theorems and meaning of the exotic Laplacians
L. Accardi
Infinite dimensional analysis and mathematical physics
September 21, 2015 18:30
20. Markov semigroups of stochastic limit type
L. Accardi
Mathematical problems of quantum theory of nanosystems and photosynthesis
September 17, 2015 11:30
21. Stochastic limit approach to non-equilibrium phenomena
L. Accardi
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
October 2, 2014 11:00
22. Будет объявлено позднее
L. Accardi
Infinite dimensional analysis and mathematical physics
September 29, 2014 18:30
23. $d$-Dimensional orthogonal polynomials, the quantum decomposition of a classical random variable and symmetric interacting Fock spaces over $\mathbb C^d$
L. Accardi
Steklov Mathematical Institute Seminar
September 19, 2013 16:00   
24. Contractions and central extensions of quantum white noise Lie algebras
A. Boukas, L. Accardi
International conference "QP 34 – Quantum Probability and Related Topics"
September 17, 2013 11:30   
25. Nonlinear Gibbs, local KMS and dynamical detailed balance conditions
L. Accardi
International Conference "Irreversibility Problem in Classical and Quantum Dynamical Systems"
December 9, 2011 10:30   

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