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Publications in Math-Net.Ru |
Citations |
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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 ; Izv. Math., 87:5 (2023), 855–890 |
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 |
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2022 |
3. |
L. Accardi, B. Dragovich, S. V. Kozyrev, A. S. Trushechkin, “Preface”, Int. J. Mod. Phys. A, 37:20 (2022), 2202002–1 |
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 |
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 |
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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 |
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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 ; Math. Notes, 90:2 (2011), 162–174 |
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2009 |
8. |
L. Accardi, O. G. Smolyanov, “Generalized Lévy Laplacians and Cesàro means”, Dokl. Akad. Nauk, 424:5 (2009), 583–587 ; Dokl. Math., 79:1 (2009), 90–93 |
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9. |
Luigi Accardi, Andreas Boukas, “Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras”, SIGMA, 5 (2009), 056, 31 pp. |
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2002 |
10. |
L. Accardi, O. G. Smolyanov, “Lévy–Laplace Operators in Functional Rigged Hilbert Spaces”, Mat. Zametki, 72:1 (2002), 145–150 ; Math. Notes, 72:1 (2002), 129–134 |
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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 ; Math. Notes, 68:6 (2000), 683–694 |
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12. |
L. Accardi, T. Khida, V. V. Khtai, “Boson Fock representations of stochastic processes”, Mat. Zametki, 67:1 (2000), 3–14 ; Math. Notes, 67:1 (2000), 3–11 |
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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 ; Proc. Steklov Inst. Math., 228 (2000), 106–125 |
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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 ; Math. Notes, 64:4 (1998), 421–428 |
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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 ; Theoret. and Math. Phys., 116:3 (1998), 1050–1062 |
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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 |
17. |
L. Accardi, O. G. Smolyanov, M. O. Smolyanova, “Change of variable formulas for infinite-dimensional distributions”, Mat. Zametki, 60:2 (1996), 288–292 ; Math. Notes, 60:2 (1996), 212–215 |
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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 |
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19. |
L. Accardi, “Квантовая теория вероятностей: стохастическое исчисление и условные ожидания”, Tr. Mosk. Mat. Obs., 56 (1995), 303–349 |
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1993 |
20. |
L. Accardi, P. Rozelli, O. G. Smolyanov, “Brownian motion generated by the Levy Laplacian”, Mat. Zametki, 54:5 (1993), 144–148 ; Math. Notes, 54:5 (1993), 1174–1177 |
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1975 |
21. |
L. Accardi, “The noncommutative Markovian property”, Funktsional. Anal. i Prilozhen., 9:1 (1975), 1–8 ; Funct. Anal. Appl., 9:1 (1975), 1–7 |
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1974 |
22. |
L. Accardi, “On the space of square roots of measures”, Dokl. Akad. Nauk SSSR, 217:5 (1974), 993–996 |
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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
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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
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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
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4. |
My research experience with Oleg Georgevich Smolyanov L. Accardi
One-Parameter Semigroups of Operators (OPSO) 2022 February 17, 2022 19:00
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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
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6. |
Algebraic probability theory L. Accardi
Principle Seminar of the Department of Probability Theory, Moscow State University February 9, 2022 16:45
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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
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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
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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
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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
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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
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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
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13. |
The problem of polynomial regularity for classical random fields L. Accardi
Infinite dimensional analysis and mathematical physics January 20, 2020 18:30
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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
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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
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16. |
New features of quantum theory emerging from classical probability L. Accardi
Internaional conference «Modern Mathematical Physics. Vladimirov-95» November 12, 2018 15:30
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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
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18. |
New trends in quantum probability and quantum mechanics Luigi Accardi
New Trends in Mathematical and Theoretical Physics October 3, 2016 10:00
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19. |
Exotic traces, Cesaro theorems and meaning of the exotic Laplacians L. Accardi
Infinite dimensional analysis and mathematical physics September 21, 2015 18:30
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20. |
Markov semigroups of stochastic limit type L. Accardi
Mathematical problems of quantum theory of nanosystems and photosynthesis September 17, 2015 11:30
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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
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22. |
Будет объявлено позднее L. Accardi
Infinite dimensional analysis and mathematical physics September 29, 2014 18:30
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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
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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
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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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Organisations |
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