Pubblicazioni di Vieri Mastropietro
    Libri


  1. V. Mastropietro: Non-perturbative Renormalization World Scientific 244, 3 (2008), 300 pag.


    Meccanica Statistica Classica

  2. V. Mastropietro: Ising models with four spin interaction at criticality. Comm. Math. Phys. 244, 3 (2004), 595--642.

  3. V. Mastropietro: Non Universality in Ising models with four spin interaction. Journ. Stat. Phys., 111, 201-259 (2003)

  4. A. Giuliani, V. Mastropietro: Anomalous universality in the Anisotropic Ashkin Teller model Comm. Math. Phys. 256, 3, (2005), 681--735.

  5. A. Giuliani, V. Mastropietro: Anomalous critical exponents in the anisotropic Ashkin--Teller model Phys. Rev. Lett. 190603--190607 93 (2005)

  6. G. Benfatto, P. Falco, V.Mastropietro. Extended Scaling relations for planar lattice models Comm. Math. Phys. 2009

    Meccanica Statistica Quantistica e Teoria dei Campi

  7. V.Mastropietro: Small denominators and anomalous behaviour in the incommensurate Holstein-Hubbard model , Commun. Math. Phys., 201, 81-115 (1999)

  8. F.Bonetto,V.Mastropietro: Beta Function and anomaly of the Fermi surface for a d=1 system of interacting fermions in a periodic potential , Commun. Math. Phys. N.172, 57-93 (1995)

  9. G.Benfatto, G.Gentile, V. Mastropietro: Electrons in a lattice with incommensurate potential Journ. Stat. Phys., Vol.89, 655-708 (1997)

  10. G.Benfatto, G.Gallavotti, V.Mastropietro: Renormalization group and the Fermi surface in the Luttinger model, Phys. Rev. B vol.45, N.10, 5468-5480 (1992).

  11. F.Bonetto, V.Mastropietro: Filled band Fermi systems Mat.Phys.Elect.Jour. 2, 1--43 (1996 )

  12. F.Bonetto, V. Mastropietro: Critical Indices for the Yukawa2 model, Nucl.Phys.B 497, 541-554 (1997).

  13. F.Bonetto, V. Mastropietro: Critical indeces in a $d=1$ filled band Fermi systems, Phys. Rev. B 56,3,1296-1308 (1997).

  14. V.Mastropietro: Renormalization group for the XYZ model , Letters in Mathematical physics, 47, 339-352, (1999).

  15. G.Benfatto,G.Gentile,V.Mastropietro Peierls instability for the Holstein model with rational density Jour. Stat. Phys. 92, 1071-1113 (1998).

  16. V.Mastropietro: Schwinger functions in Thirring and Luttinger models , Nuovo Cim. vol.109B, N.10, (1993).

  17. V.Mastropietro: Interacting soluble Fermi systems in one dimension, Nuovo Cim. vol.109B, N.1, 1994

  18. V.Mastropietro: A Renormalization Group computation of the incommensurate Holstein Hubbard and the XYZ correlation functions, in Mathematical results in statistical mechanics, edito da S. Miracle Sol\'e et Al, World Scientific (1999).

  19. G.Gentile, V.Mastropietro: Anderson localization for the Holstein model. Comm. Math. Phys. 1,215,69-118 (2000)

  20. V.Mastropietro, Anomalous BCS equation for a Luttinger superconductor , Mod. Phys. Lett. B Vol. 13 No 17 pp.585-597 (1999)

  21. V.Mastropietro: Anomalous superconductivity for coupled Luttinger liquids , Rev. Math. Phys. vol.12, n.12 1627-1654 (2000)

  22. G. Benfatto, V.Mastropietro: Renormalization group, hidden symmetries and Ward identities for the $XYZ$ model, Rev. Math. Phys , Vol. 13, n.11, 1323-1435,(2001)

  23. G.Gentile, V.Mastropietro: Renormalization group for fermions: a review on mathematical results., Physics Reports 352, no. 4-6, 273--437 (2001).

  24. V.Mastropietro: Correlation in quantum chain models , Proceedings of the International Conference of Mathematical Physics 2000

  25. V.Mastropietro: Correlation in quantum chain models and vertex models , Int. Jour. Mod. Phys. 16,11 1875-1888 (2001)

  26. V.Mastropietro: Incommensurate Charge Density Waves in the adiabatic Hubbard-Holstein model Phys. Rev.B 65 , 75113, (2002)

  27. V.Mastropietro: Peierls instability with electron-electron interaction: the commensurate case. Comm of Pure and Applied Analysis., 2, 1-24 (2002)

  28. J.Lebowitz, G.Gallavotti, V.Mastropietro: Large deviations in rarefied quantum gases Jour. Stat. Phys., 108,5, 831-861 (2002)

  29. G.Benfatto, V.Mastropietro: On the density-density critical indices in interacting Fermi systems Comm. Math. Phys., no. 1, 97--134 (2002)

  30. G.Benfatto, G. Giuliani,V. Mastropietro: Low temperature analysis of two dimensional Fermi systems with symmetric Fermi surface , Annales Henri Poincare' n.4 , 137-193 (2003)

  31. G.Benfatto, ,V. Mastropietro: Ward identities and Dyson equation for d=1 interacting Fermi systems Journ. Stat. Phys. 115, 1-2, 143--184 (2004).

  32. V. Mastropietro: Marginal Fermi liquid behaviour in the half filled Hubbard model with cut-off , Annales Henri Poincare' ,3 , no. 6, 1183-1216 (2003)

  33. G.Benfatto, V. Mastropietro: Rigorous analysis of the Tomonaga model by means of Ward identities and the renormalization group , Journal of Stat. Mech. (2005)

  34. G. Benfatto V. Mastropietro: Ward identities and Chiral anomaly in the Luttinger liquid Comm. Math. Phys. 258, 609-655(2005).

  35. V.Mastropietro Rigorous proof of Luttinger liquid behavior in the 1d Hubbard model J. Stat. Phys.(2005)

  36. G.Benfatto, A.Giuliani,V.Mastropietro. Proof of Fermi liquid behavior in the 2D Hubbard model. Ann. H. Poincare' 7 (2006), no. 5, 809--898.

  37. V.Mastropietro. Non perturbative Adler-Bardeen Theorem J. Math. Phys. 48,22302,(2007)

  38. V.Mastropietro. Mass generation in a fermionic model with finite range time dependent interactions. Comm. Math. Phys. 269 (2007)

  39. G.Benfatto, P Falco, V.Mastropietro. Functional Integral Construction of the Massive Thirring model. Comm. Math. Phys. (2007)

  40. V.Mastropietro. The absence of Logarithmic corrections in the 1d Hubbard model. J.Phys. A 40,13, 3347(2007)

  41. V.Mastropietro. Non perturbative aspects of chiral anomalies. J.Phys. A 40,33, 10349 (2007)

  42. Renormalization group and Ward identities for infrared QED4 Vieri Mastropietro J. Math. Phys. 48, 102303 (2007)

  43. P.Falco, V.Mastropietro. RG and asymptotic spin-charge separation for Chiral Luttinger liquids J.Stat.Phys. 131,79--116,(2008)

  44. V.Mastropietro.Luttinger liquid fixed point for a 2D flat Fermi surface. Phys.Rev. B 77, 195106 (2008)

  45. V.Mastropietro. Spin charge separation in two dimensions. Europhys. Lett 84, 57005 (2008)

  46. G. Benfatto, P. Falco, V.Mastropietro. Massless Sine gordon and massive Thirring models: proof of the Coleman equivalence. Comm. Math. Phys. 285, 713-172 (2009)

  47. A.Giuliani, V.Mastropietro. The 2D Hubbard model on the honeycomb lattice A. Giuliani and V. Mastropietro Communications in Mathematical Physics (to appear).

  48. A.Giuliani, V.Mastropietro. Rigorous construction of ground state correlations in graphene: renormalization of the velocities and Ward Identities Phys. Rev. B 79, 201403(R) (2009).

  49. G. Benfatto, V.Mastropietro. Universality relations in non solvable quantum spin chains.

    Equazioni alle Derivate Parziali

  50. G.Gentile, V. Mastropietro: Construction of periodic solutions of nonlinear wave equations with Direchelet boundary conditions by Lindstedt series method Journal des Mathematiques Pures et Appliques , 83 (2004) 1019-1065

  51. G.Gentile, V. Mastropietro: Convergence of lindstedt series for the nonlinear wave equation Comm. on Pure and Applied Analysis 3,3, (2004), 509-514.

  52. G.Gentile, V. Mastropietro, M.Procesi: Periodic solutions of completely resonant nonlinear wave equation Comm. Math.Phys 256,2, (2005) 437--490.

  53. V.Mastropietro, M.Procesi. Construction of periodic solutions for wave equations with quadratic and velocity dependent nonlinearities Comm. Pure applied Analysis (2005)

    Meccanica Classica

  54. G. Gentile, V. Mastropietro: Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics Rev. Math. Phys vol.8, n.3, 393-444 (1996).

  55. F.Bonetto, G.Gallavotti, G. Gentile, V. Mastropietro: Lindstedt series, ultraviolet divergences and Moser's theorem Ann. Scuola Normale di Pisa , 26, 545-593, 1998.

  56. F.Bonetto, G.Gallavotti, G. Gentile, V. Mastropietro: Quasi linear flows on tori and regularity of their linearization Commun. Math. Phys., 192, 707-730 (1998).

  57. G. Gentile, V. Mastropietro: KAM theorem revisited Physica D N.90, 225-234 (1996).

  58. G. Gentile, V. Mastropietro: Tree expansion and multiscale analysis for KAM tori, Nonlinearity N.8, 1995, 1159-1178.

  59. G. Gallavotti, G. Gentile, V. Mastropietro: Field Theory and KAM tori Math. Phys. Elec. Jour. N.1 1995 ISSN 1086-6655.

  60. G.Gallavotti, G.Gentile, V.Mastropietro: Separatrix splitting for systems with three time scales , Commun. Math. Phys.,202 (1999) 1, 89-126

  61. G.Gallavotti, G.Gentile, V.Mastropietro: Melnikov approximation dominance:some examples , Rev. Math. Phys., 11, 4, 451-461 (1999)

  62. G.Gentile, V.Mastropietro: A possible mechanism for KAM tori breakdown, Hamiltonian Systems with Three or More Degress of Freedom , edito da C. Simo, Nato Asi Series (1999)

  63. F. Bonetto, G.Gentile, V.Mastropietro: Electric Fields on a surface of constant negative curvature , Ergodic theory and dynamical systems 20,681-696 (2000)

  64. G.Gallavotti,G.Gentile, V.Mastropietro: Homoclinic splitting: A counterexample to the main result of the Physica D paper 114, 3-80, 1998 Physica D 137, (2000), 202-204

  65. G.Gallavotti,G.Gentile,V.Mastropietro: Hamilton-Jacobi equation, heteroclinic chains and Arnold diffusion in three time scale systems , Nonlinearity 13 (2000) 323-340

  66. G.Gallavotti,G.Gentile,V.Mastropietro, A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems , Journal of Math. Phys. 40,12,6430-6472 (1999)

  67. V. Mastropietro: Arnold diffusion and the D'Alembert precession problem Reg. and Chaotic dynamics 6 (2001), no. 4, 355--375

    Probabilita'

  68. L.Accardi, Y. Lu, V.Mastropietro: The semi-circle diagrams in the stochastic limit of the Anderson model
    Infin. dimen. analysis, quantum. probab. and rel. top. , 1, 3, 467-485 (1998)

  69. H.English,V.Mastropietro,B.Tirozzi:
    The B.A.M. storage capacity
    Jour. de Physique I, N.5, 1995, pagg .85-96

  70. L.Accardi, V.Mastropietro:
    Uniquiness of the prices in incomplete markets
    Chubu forum for math. sci.,27-38, (1998)

  71. L.Accardi, Y. Lu, V.Mastropietro: Stochastic bosonization for a $d> 3$ Fermi system , Ann. de l'Ist. H.Poincare', vol.66,n.2,1997, 185-213

  72. L.Accardi, V.Mastropietro: Stochastic bosonization for a interacting $d\ge 3$ Fermi system , Ann. de l'Ist. H.Poincare', vol.66,n.2,1997, 215-235

    Articoli per Enciclopedie

  73. V. Mastropietro: Voce: "Fisica Matematica" per la appendice 2000 della enciclopedia Treccani<\I>
  74. V.Mastropietro. Fermionic systems Voce per la Encyclopedia of Mathematical Physics<\I>, edita da Francoise, Naber e Tsun.