List of publications



  1. Low Temperature Analysis of Two-Dimensional Fermi Systems with Symmetric Fermi Surface
    G. Benfatto, A. Giuliani, V. Mastropietro
    cond-mat/0207210; mp_arc/02-299; Ann. Henri Poincare 4, 137--193 (2003);
  2. Analyticity of the SRB measure of a lattice of coupled Anosov diffeomorphisms of the torus
    F. Bonetto, P. Falco, A. Giuliani
    math-ph/0312032; mp_arc/03-537; Jour. Math. Phys. 45, 3282--3309 (2004);
  3. Anomalous critical exponents in the anisotropic Ashkin--Teller model
    A. Giuliani, V. Mastropietro
    cond-mat/0409550; Phys. Rev. Lett. 93, 190603 (2004);
  4. Anomalous universality in the anisotropic Ashkin--Teller model
    A. Giuliani, V. Mastropietro
    cond-mat/0404701; Comm. Math. Phys. 256, 681--735 (2005);
  5. Fluctuation Relation beyond Linear Response Theory
    A.Giuliani, F.Zamponi, G.Gallavotti
    cond-mat/0412455; mp_arc/04-416; J.Stat.Phys. 119, 909 (2005);
  6. Fractional Lindstedt series
    G. Gallavotti, G. Gentile, A. Giuliani
    math-ph/0509056; mp_arc/05-337; Jour. Math. Phys. 47, 012702 (2006);
  7. Chaotic Hypothesis, Fluctuation Theorem and Singularities
    F.Bonetto, G.Gallavotti, A.Giuliani, F.Zamponi
    cond-mat/0507672; mp_arc/05-257; J.Stat.Phys. 123, 39 (2006);
  8. Fermi liquid behavior in the 2D Hubbard model at low temperatures
    G. Benfatto, A. Giuliani, V. Mastropietro
    cond-mat/0507686; Ann. Henri Poincare 7, 809--898 (2006);
  9. Borel summability and Lindstedt series
    O. Costin, G. Gallavotti, G. Gentile, A. Giuliani
    math-ph/0601032; mp_arc/06-14; Comm. Math. Phys. 269, 175--193 (2007);
  10. Fluctuations relation and external thermostats: an application to granular materials
    F.Bonetto, G.Gallavotti, A.Giuliani, F.Zamponi
    cond-mat/0601683; mp_arc/06-152; J. Stat. Mech. (2006) P05009;
  11. Ising models with long-range dipolar and short range ferromagnetic interactions
    A. Giuliani, J. L. Lebowitz, E. H. Lieb
    cond-mat/0604668; mp_arc/06-137; Phys. Rev. B 74, 064420 (2006);
  12. Ground state energy of the low density Hubbard model. An upper bound
    A. Giuliani
    math-ph/0611034; J. Math. Phys. 48, 023302 (2007).
  13. Absolute Stability Limit for Relativistic Charged Spheres
    A. Giuliani and T. Rothman
    gr-qc/0705.4452; General Relativity and Gravitation 40, 1427-1447 (2008).
  14. Striped phases in two dimensional dipole systems
    A. Giuliani, J. L. Lebowitz and E. H. Lieb
    cond-mat/0707.3760; Phys. Rev. B 76, 184426 (2007) .
  15. Periodic minimizers in 1D local mean field theory
    A. Giuliani, J. L. Lebowitz and E. H. Lieb
    math-ph/0712.2330; Comm. Math. Phys., 286, 163-177 (2009)
  16. Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class
    A. Fathi, A. Giuliani, A. Sorrentino
    math/0801.3568; Annali Scuola Normale Superiore di Pisa, vol. VIII, issue 4, 659-680 (2009).
  17. Long range order for lattice dipoles
    A. Giuliani
    arXiv:0803.3576; Jour. Stat. Phys. 134, 1059-1070 (2009).
  18. Pattern formation in systems with competing interactions
    A. Giuliani, J. L. Lebowitz and E. H. Lieb
    arXiv:0811.3078 ; AIP conference proceedings of the 10th Granada Seminar on Computational Physics, Sept. 15-19, 2008.
  19. The ground state energy of the weakly interacting Bose gas at high density
    A. Giuliani and R. Seiringer
    arXiv:0811.1166; Jour. Stat. Phys. 135, 915-934 (2009)
  20. The 2D Hubbard model on the honeycomb lattice
    A. Giuliani and V. Mastropietro
    arXiv:0811.1881, Comm. Math. Phys. 293, 301-346 (2010)
  21. Rigorous construction of ground state correlations in graphene: renormalization of the velocities and Ward Identities
    A. Giuliani and V. Mastropietro
    arXiv:0901.4867; Phys. Rev. B 79, 201403(R) (2009); Erratum.
  22. Modulated phases of a 1D sharp interface model in a magnetic field
    A. Giuliani, J. L. Lebowitz and E. H. Lieb
    arXiv:0905.3758, Phys. Rev. B 80, 134420 (2009)
  23. Anomalous behavior in an effective model of graphene with Coulomb interactions
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1001.5347; Annales Henri Poincaré 11, 1409-1452 (2010).
  24. Lattice gauge theory model for graphene
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1005.2528; Phys. Rev. B 82, 121418(R) (2010).
  25. Absence of interaction corrections in the optical conductivity of graphene
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1010.4461; Phys. Rev. B 83, 195401 (2011).
  26. Striped periodic minimizers of a two-dimensional model for martensitic phase transitions
    A. Giuliani, S. Mueller
    arXiv:1011.3935; Comm. Math. Phys. 309, 313-339 (2012).
  27. Universality of conductivity in interacting graphene
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1101.2169; Comm. Math. Phys. 311, 317-355 (2012).
  28. The ground state construction of the two-dimensional Hubbard model on the honeycomb lattice
    A. Giuliani
    arXiv:1102.3881; in Quantum Theory from Small to Large Scales, Lecture Notes of the Les Houches Summer School: Volume 95, August 2010.
  29. Checkerboards, stripes and corner energies in spin models with competing interactions
    A. Giuliani, J. L. Lebowitz and E. H. Lieb
    arXiv:1106.0922; Phys. Rev. B 84, 064205 (2011).
  30. Resonances within chaos
    G. Gallavotti, G. Gentile and A. Giuliani
    arXiv:1106.1476; Chaos 22, 026108 (2012).
  31. Lattice quantum electrodynamics for graphene
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1107.4741; Annals of Phys. 327, 461-511 (2012).
  32. Exact RG computation of the optical conductivity of graphene
    A. Giuliani, V. Mastropietro
    arXiv:1110.2988; Phys. Rev. B 85, 045420 (2012).
  33. The nematic phase of a system of long hard rods
    M. Disertori, A. Giuliani
    arXiv:1112.5564; Comm. Math. Phys. 323, 143-175 (2013).
  34. The scaling limit of the energy correlations in non integrable Ising models
    A. Giuliani, R. L. Greenblatt, V. Mastropietro
    arXiv:1204.4040; Jour. Math. Phys. 53, 095214 (2012).
  35. Froth-like minimizers of a non local free energy functional with competing interactions
    P. Buttà, R. Esposito, A. Giuliani, R. Marra
    arXiv:1206.3846 ; Comm. Math. Phys. 322, 593-632 (2013).
  36. The Free Energy of the Quantum Heisenberg Ferromagnet at Large Spin
    M. Correggi, A. Giuliani
    arXiv:1207.4050; Jour. Stat. Phys. 149, 234-245 (2012).
  37. Universal finite size corrections and the central charge in non solvable Ising models
    A. Giuliani, V. Mastropietro
    arXiv:1211.3030; Comm. Math. Phys. 324, 179-214 (2013).
  38. Formation of stripes and slabs near the ferromagnetic transition
    A. Giuliani, E. H. Lieb, R. Seiringer
    arXiv:1304.6344, Comm. Math. Phys. 331, 333-350 (2014).
  39. Realization of stripes and slabs in two and three dimensions
    A. Giuliani, E. H. Lieb, R. Seiringer
    arXiv:1305.5323; Phys. Rev. B 88, 064401 (2013).
  40. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
    M. Correggi, A. Giuliani, R. Seiringer
    arXiv:1312.7873, Comm. Math. Phys. 339, 279-307 (2015).
  41. Validity of spin wave theory for the quantum Heisenberg model
    M. Correggi, A. Giuliani, R. Seiringer
    arXiv:1404.4717, Europhys. Lett. 108, 20003 (2014).
  42. Renormalization theory of a two dimensional Bose gas: quantum critical point and quasi-condensed state
    S. Cenatiempo, A. Giuliani
    arXiv:1404.5233, Jour. Stat. Phys. 157, 755-829 (2014).
  43. Height fluctuations in interacting dimers
    A. Giuliani, V. Mastropietro, F. L. Toninelli
    arXiv:1406.7710, Ann. Inst. H. Poincaré Probab. Statist. 53, 98-168 (2017).
  44. Height fluctuations in non-integrable classical dimers
    A. Giuliani, V. Mastropietro, F. L. Toninelli
    arXiv:1502.02302, Europhys. Lett. 109, 60004 (2015).
  45. Columnar Phase in Quantum Dimer Models
    A. Giuliani, E. H. Lieb
    arXiv:1502.02254, J. Phys. A: Math. Theor. 48 (2015) 235203.
  46. Construction of the Lyapunov spectrum in a chaotic system displaying phase synchronization
    L. De Carlo, G. Gentile, A. Giuliani
    arXiv:1506.07573, Math. Phys. Anal. Geom. 19:10 (2016).
  47. The ground state construction of bilayer graphene
    A. Giuliani, I. Jauslin
    arXiv:1507.06024, Rev. Math. Phys. 28, 1650018 (2016).
  48. Periodic striped ground states in Ising models with competing interactions
    A. Giuliani, R. Seiringer
    arXiv:1509.00057, Comm. Math. Phys. 347, 983-1007 (2016).
  49. A Pfaffian formula for monomer-dimer partition functions
    A. Giuliani, I. Jauslin, E. H. Lieb
    arXiv:1510.05027, Jour. Stat. Phys. 163, 211-238 (2016).
  50. Universality of the Hall conductivity in interacting electron systems
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1511.04047, Comm. Math. Phys. 349, 1107-1161 (2017).
  51. Topological phase transitions and universality in the Haldane-Hubbard model
    A. Giuliani, I. Jauslin, V. Mastropietro, M. Porta
    arXiv:1605.07407, Phys. Rev. B 94, 205139 (2016).
  52. Haldane relation for interacting dimers
    A. Giuliani, V. Mastropietro, F. Toninelli
    arXiv:1612.01274, J. Stat. Mech. 034002 (2017).
  53. Order, disorder and phase transitions in quantum many body systems
    A. Giuliani
    arXiv:1711.06991.