Accardi Luigi

Publications in Math-Net.Ru

1. Fermions from classical probability and statistics defined by stochastic independence
   
   Izv. RAN. Ser. Mat., 87:5 (2023),  5–40
2. Two Non-*-Isomorphic *-Lie Algebra Structures on $sl(2,R)$ and Their Physical Origins
   
   J. Stoch. Anal., 4:4 (2023),  3–13
3. Preface
   
   Int. J. Mod. Phys. A, 37:20 (2022),  2202002–1
4. On the diagonalizability and factorizability of quadratic boson fields
   
   J. Stoch. Anal., 3:4 (2022),  2–24
5. The Non–linear and Quadratic Quantization Programs
   
   Springer Proc. Math. Statist., 390 (2022),  3–53
6. Fermionic Meixner classes, Lie algebras and quadratic hamiltonians
   
   Indian J. Pure Appl. Math., 46:4 (2015),  517–538
7. Uniqueness of Quantum Markov Chains Associated with an $XY$-Model on a Cayley Tree of Order $2$
   
   Mat. Zametki, 90:2 (2011),  168–182
8. Generalized Lévy Laplacians and Cesàro means
   
   Dokl. Akad. Nauk, 424:5 (2009),  583–587
9. Quantum Probability, Renormalization and Infinite-Dimensional $*$-Lie Algebras
   
   SIGMA, 5 (2009), 056, 31 pp.
10. Lévy–Laplace Operators in Functional Rigged Hilbert Spaces
    
    Mat. Zametki, 72:1 (2002),  145–150
11. Hilbert Module Realization of the Square of White Noise and Finite Difference Algebras
    
    Mat. Zametki, 68:6 (2000),  803–818
12. Boson Fock representations of stochastic processes
    
    Mat. Zametki, 67:1 (2000),  3–14
13. Non-equilibrium Quantum Field Theory and Entangled Commutation Relations
    
    Trudy Mat. Inst. Steklova, 228 (2000),  116–135
14. Extensions of spaces with cylindrical measures and supports of measures determined by the Lévy Laplacian
    
    Mat. Zametki, 64:4 (1998),  483–492
15. A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field
    
    TMF, 116:3 (1998),  401–416
16. Transformations of Gaussian measures generated by the Lévy–Laplacian, and generalized traces
    
    Dokl. Akad. Nauk, 350:1 (1996),  5–8
17. Change of variable formulas for infinite-dimensional distributions
    
    Mat. Zametki, 60:2 (1996),  288–292
18. A Gaussian process generated by the Lévy Laplacian, and the corresponding Feynman–Kac formula
    
    Dokl. Akad. Nauk, 342:4 (1995),  442–445
19. Квантовая теория вероятностей: стохастическое исчисление и условные ожидания
    
    Tr. Mosk. Mat. Obs., 56 (1995),  303–349
20. Brownian motion generated by the Levy Laplacian
    
    Mat. Zametki, 54:5 (1993),  144–148
21. The noncommutative Markovian property
    
    Funktsional. Anal. i Prilozhen., 9:1 (1975),  1–8
22. On the space of square roots of measures
    
    Dokl. Akad. Nauk SSSR, 217:5 (1974),  993–996