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; 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, 909-944(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 Phys. Rev. B 82, 199901 (2010).
  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 Poincar? 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. Butt?, 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. Poincar? 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, Istituto Lombardo (Rend. Scienze) 150, 73-116 (2016).
  54. Quantization of the interacting Hall conductivity in the critical regime
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1803.11213, J. Stat. Phys. 180, 332-365 (2020).
  55. Plate-nematic phase in three dimensions
    M. Disertori, A. Giuliani, I. Jauslin
    arXiv:1805.05700, Comm. Math. Phys. 373, 327-356 (2020).
  56. Non-integrable dimers: Universal fluctuations of tilted height profiles
    A. Giuliani, V. Mastropietro, F. Toninelli
    arXiv:1904.07526, Comm. Math. Phys. 377, 1883-1959 (2020)
  57. Non-integrable dimer models: universality and scaling relations
    A. Giuliani, F. Toninelli
    arXiv:1905.04011, J. Math. Phys. 60, 103301 (2019).
  58. Anomaly non-renormalization in interacting Weyl semimetals
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1907.00682, Comm. Math. Phys. 384, 997-1060 (2021).
  59. Long range order in atomistic models for solids
    A. Giuliani, F. Theil
    arXiv:1907.07923, J. Eur. Math. Soc. 24, 3505-3555 (2022).
  60. Nematic first order phase transition for liquid crystals in the van der Waals-Kac limit
    C. Erignoux, A. Giuliani
    arXiv:2002.12875, J. Math. Phys. 61, 103306 (2020).
  61. Energy correlations of non-integrable Ising models: The scaling limit in the cylinder
    G. Antinucci, A. Giuliani, R. L. Greenblatt
    arXiv:2006.04458, Comm. Math. Phys. 397, 393-483 (2023).
  62. Gentle introduction to rigorous Renormalization Group: a worked fermionic example
    A. Giuliani, V. Mastropietro, S. Rychkov
    arXiv:2008.04361, J. High Energ. Phys. 2021, 26 (2021).
  63. Conformal invariance and Renormalization Group
    A. Giuliani
    arXiv:2012.01084, Markov Processes Relat. Fields 27, 665-685 (2021).
  64. Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit
    G. Antinucci, A. Giuliani, R. L. Greenblatt
    arXiv:2104.09328, Annales H. Poincaré 23, 1061-1139 (2022).
  65. Scaling limits and universality of Ising and dimer models
    A. Giuliani
    arXiv:2110.09372, Proceedings of the International Congress of Mathematicians 2022.
  66. Periodic striped states in Ising models with dipolar interactions
    D. Fermi, A. Giuliani
    arXiv:2203.01249, The Physics and Mathematics of Elliott Lieb.
  67. Weakly non-planar dimers
    A. Giuliani, B. Renzi, F. Toninelli
    arXiv:2207.10428, Probability and Mathematical Physics 4, 891-934 (2023).
  68. Upper bound for the ground state energy of a dilute Bose gas of hard spheres
    G. Basti, S. Cenatiempo, A. Giuliani, A. Olgiati, G. Pasqualetti, B. Schlein
    arXiv:2212.04431, Arch. Rational Mech. Anal. 248, 100 (2024).
  69. Low temperature asymptotic expansion for classical O(N) vector models
    A. Giuliani, S. Ott
    arXiv:2302.07299, Prob. Math. Phys. 6 (2), 439-477 (2025).
  70. Response functions of many-body condensed matter systems
    M. Porta, V. Mastropietro, A. Giuliani
    arXiv:2308.11282.
  71. Non-trivial fixed point of a ψ4d fermionic theory, II. Anomalous exponent and scaling operators
    A. Giuliani, V. Mastropietro, S. Rychkov, G. Scola
    arXiv:2404.14904.
  72. The scaling limit of boundary spin correlations in non-integrable Ising models
    G. Cava, A. Giuliani, R. Greenblatt
    arXiv:2408.12923, J. Math. Phys. 66, 023301 (2025).
  73. Universality of the topological phase transition in the interacting Haldane model
    S. Fabbri, A. Giuliani, R. Reuvers
    arXiv:2504.00853.