Alberto De Sole
Professore Associato di Algebra
Dipartimento di Matematica,
Universita' di Roma '' La Sapienza ''

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  1. A. De Sole, V. Kac, R. Turhan, On integrability of some bi-Hamiltonian two field systems of PDE. 30 pages, preprint (2014) arXiv:1405.1349

  2. L. Bertini, A. De Sole, D. Gabrielli, G. Jona Lasinio, C. Landim, Macroscopic Fluctuation Theory. 40 pages, preprint (2014) arXiv:1404.6466

  3. A. De Sole, V. Kac, D. Valeri Structure of classical (finite and affine) W-algebras. 40 pages, preprint (2014) arXiv:1404.0715

  4. A. De Sole, V. Kac, D. Valeri Integrability of Dirac reduced bi-Hamiltonian equations. 15 pages, preprint (2014) arXiv:1401.6006

  5. A. De Sole, V. Kac, D. Valeri Adler-Gelfand-Dickey approach to classical W-algebras. Accepted for publication in IMRN. 37 pages, preprint (2014) arXiv:1401.2082

  6. S. Carpentier, A. De Sole, V. Kac, Singular degree of a rational matrix pseudodifferential operator. Accepted for publication in IMRN. 33 pages, preprint (2013) arXiv:1308.2647

  7. A. De Sole, V. Kac, D. Valeri Dirac reduction for Poisson vertex algebras. Accepted for publication in Comm. Math. Phys. 31 pp, preprint (2013) arXiv:1306.6589

  8. A. De Sole, V. Kac, D. Valeri Classical W-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents. Accepted in Comm. Math. Phys. 46 pp, preprint (2013) arXiv:1306.1684

  9. A. De Sole, On classical finite and affine W-algebras. published within the volume \emph{Advances in Lie superalgebras}, Springer INdAM Series, Vol. 7 (2014), VIII, pages 51-67. arXiv:1306.6592

  10. A. De Sole, V. Kac, R. Turhan, A new approach to the Lenard-Magri scheme of integrability. Accepted for publication in Comm. Math. Phys. 20 pagine, preprint (2013) arXiv:1303.3438

  11. A. De Sole, V. Kac, D. Valeri Classical W-algebras and Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras. Comm. Math. Phys. 323 (2013), no. 2, 663-711 arXiv:1207.6286

  12. A. De Sole, V. Kac, Non local Poisson structures and applications to the theory of integrable systems. Jpn. J. Math. 8 (2013), no. 2, 233-347 arXiv:1302.0148 (Ottenuto da editing e dall'unione di: Part I, arXiv:1210.1688 , and Part II, arXiv:1211.2391 ).

  13. S. Carpentier, A. De Sole, V. Kac, Rational matrix pseudodifferential operators. Selecta Math. (N.S.) 20 (2014) n.2, 403-419 arXiv:1206.4165

  14. S. Carpentier, A. De Sole, V. Kac, Some remarks on non-commutative principal ideal rings. C. R. Math. Acad. Sci. Paris 351 (2013), no. 1-2, 5-8 arXiv:1305.0380

  15. S. Carpentier, A. De Sole, V. Kac, Some algebraic properties of differential operators. J. Math. Phys. 53 (2012), 063501, 15 pp., doi: 10.1063/1.4720419 PDF

  16. A. De Sole, V. Kac, Essential variational Poisson cohomology. Comm. Math. Phys. 313 (2012), no. 3, 837-864. DOI: 10.1007/s00220-012-1461-8 PDF

  17. A. De Sole, V. Kac, The variational Poisson cohomolgy. Jpn. J. Math. 8 (2013), n. 1, 1-145. Preprint arXiv:1106.0082

  18. A. De Sole, P. Hekmati, V. Kac, Calculus structure on the Lie conformal algebra complex and the variational complex. J. Math. Phys. 52 (2011), no. 5, 053510, 35 pp. PDF

  19. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Lagrangian phase transitions in nonequilibrium thermodynamic systems. J. Stat. Mech. Theory Exp. L11001 (2010). PDF

  20. A. De Sole, V. Kac, M. Wakimoto, On classification of Poisson vertex algebras. Transform. Groups 15 (2010), no. 4, 883--907. PDF

  21. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Action functional and quasi-potential for the Burgers equation in a bounded interval. Comm. Pure Appl. Math. 64 (2011), no. 5, 649--696. PDF

  22. A. Barakat, A. De Sole, V. Kac, Poisson vertex algebras in the theory of Hamiltonian equations. Jpn. J. Math. 4 n. 2 (2009) 141--252. PDF

  23. A. De Sole, V. Kac, Lie conformal algebra cohomology and the variational complex. Comm. Math. Phys. 292 n. 3 (2009) 667--719. PDF

  24. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Towards a nonequilibrium thermodynamics: a self-contained macroscopic description of driven diffusive systems. Journal of Statistical Physics, 135 n. 5-6 (2009) 857--872. PDF

  25. B. Bakalov, A. De Sole, Non-linear Lie conformal algebras with three generators. Selecta Mathematica, 14 n.2 (2009), 163-198. PDF

  26. A. De Sole, Macroscopic description of non equilibrium stationary states and fluctuations. Within ``Large Scale Stochastic Dynamics", Oberwolfach Report No.42/2007. PDF

  27. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, On the long range correlations of thermodynamic systems out of equilibrium. Preprint arXiv:0705.2996

  28. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Stochastic interacting particle systems out of equilibrium. J. Stat. Mech. Theory Exp. (2007) P07014. PDF

  29. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Large deviation approach to non equilibrium processes in stochastic lattice gases. Bullettin of the Brasilian Mathematical Society, 37 (2006), 611-643. PDF

  30. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Large deviations of the empirical current in interacting particle systems. Theory of Probability and its Applications, 51 (2006). PDF

  31. A. De Sole, V. Kac, Finite vs infinite W-algebras. Japanese Journal of Mathematics (N.S.), 1 (2006) no1, 137-261. PDF

  32. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Non-equilibrium current fluctuations in stochastic lattice gases. Journal of Statistical Physics, 123 (2006), no.2, 237-276. PDF

  33. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Current fluctuations in stochastic lattice gases. Physical Review Letters, 94 (2005), 030601. PDF

  34. A. De Sole, V. Kac, Freely generated vertex algebras and non-linear Lie conformal algebras. Comm. Math. Phys., 254 (2005), no 3, 659-694. PDF

  35. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Minimum dissipation principle in stationary non equilibrium states. Journal of Statistical Physics, 116 (2004), 831-841. PDF

  36. A. De Sole, V. Kac, On the integral representation of the q-gamma and the q-beta functions. Rendiconti Lincei: Matematica e Applicazioni (2005) serie 9 - volume 16 - fascicolo 1. PDF

  37. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Large deviations for the boundary driven symmetric simple exclusion process. Math. Phys. Anal. Geom. 6 (2003), no. 3, 231--267. PDF

  38. A. De Sole, V. Kac, Subalgebras of gc_N and Jacobi polynomials. Canad Math Bull, 45(4):567-605, 2002. PDF

  39. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Macroscopic fluctuation theory for stationary non equilibrium states. Journal of Statistical Physics, 107 (2002), 635-675. PDF

  40. L. Bertini, A. De Sole, D. Gabrielli, G. Jona-Lasinio, C. Landim, Fluctuations in Stationary Nonequilibrium States of Irreversible Processes. Physical Review Letters, 87 (2001), 040601. PDF

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    (Last updated: may 7, 2014)